EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH (CERN)

 CERN-EP-2016-244 LHCb-PAPER-2016-042

Measurements of prompt charm production cross-sections in $pp$ collisions at
$\sqrt{s}=5$ TeV

The LHCb collaboration†††Authors are listed at the end of this paper.

Production cross-sections of prompt charm mesons are measured using data from
$pp$ collisions at the LHC at a centre-of-mass energy of
$5\text{\,}\mathrm{Te\kern-0.50003ptV}$. The data sample corresponds to an
integrated luminosity of $8.60\pm 0.33\text{\,}{\mathrm{pb}}^{-1}$ collected
by the LHCb experiment. The production cross-sections of ${D}^{0}$, ${D}^{+}$,
${D}^{+}_{s}$, and ${D}^{*+}$ mesons are measured in bins of charm meson
transverse momentum, $p_{\mathrm{T}}$, and rapidity, $y$. They cover the
rapidity range $2.0<y<4.5$ and transverse momentum ranges
$0<p_{\mathrm{T}}<$10\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
for ${D}^{0}$ and ${D}^{+}$ and
$1<p_{\mathrm{T}}<$10\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
for ${D}^{+}_{s}$ and ${D}^{*+}$ mesons. The inclusive cross-sections for the
four mesons, including charge-conjugate states, within the range of
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
are determined to be

$\displaystyle\begin{array}[]{lcr}\sigma(\mbox{$pp\to{{D}^{0}}X$})&=&$1004\pm
3\pm 54\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\
\sigma(\mbox{$pp\to{{D}^{+}}X$})&=&$402\pm 2\pm
30\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\
\sigma(\mbox{$pp\to{{D}^{+}_{s}}X$})&=&$170\pm 4\pm
16\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\
\sigma(\mbox{$pp\to{{D}^{*+}}X$})&=&$421\pm 5\pm
36\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\ \end{array}$

where the uncertainties are statistical and systematic, respectively.

Submitted to JHEP

© CERN on behalf of the LHCb collaboration, licence CC-BY-4.0.

##  1 Introduction

Measurements of charm production cross-sections in proton-proton collisions
are important tests of perturbative quantum chromodynamics [1, 2, 3, 4].
Predictions of charm meson cross-sections have been made at next-to-leading
order using the generalised mass variable flavour number scheme (GMVFNS) [5,
6, 7, 8, 9, 3] and at fixed order with next-to-leading-log resummation (FONLL)
[1, 10, 11, 12, 13, 2]. These are based on a factorisation approach, where the
cross-sections are calculated as a convolution of three terms: the parton
distribution functions of the incoming protons; the partonic hard scattering
rate, estimated as a perturbative series in the coupling constant of the
strong interaction; and a fragmentation function that parametrises the
hadronisation of the charm quark into a given type of charm hadron.
Predictions are also obtained from Monte Carlo programs implementing NLO
perturbative QCD, where the partonic final state is matched to parton shower
simulations [1]. The range of rapidity, $y$, and of the momentum component
transverse to the beam axis, $p_{\mathrm{T}}$, accessible to the LHCb
experiment enables quantum chromodynamics calculations to be tested in a
region where the momentum fraction, $x$, of the initial state partons can
reach values below $10^{-4}$. In this region the uncertainties on the gluon
density function are large, exceeding 30$\%$ [1, 14], and LHCb measurements
can be used to constrain it. This paper presents measurements of charm hadron
production cross-sections at a proton-proton centre-of-mass energy of
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$. Ratios of cross-sections
at different $\sqrt{s}$ benefit from cancellations in experimental
uncertainties on the measured cross-sections as well as theoretical
uncertainties on the predictions [2], allowing for precise comparisons.
Measurements of charm production cross-sections in $pp$ collisions at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ also define the reference
for the determination of nuclear modification factors in heavy ion collisions
at that nucleon-nucleon centre-of-mass energy, recorded in 2015 at the Large
Hadron Collider (LHC).

Measurements of charm production cross-sections in hadronic collisions have
been performed in different kinematic regions and for various centre-of-mass
energies in the TeV range. Measurements by the CDF experiment cover the
central rapidity region $|y|<1$ and transverse momenta, $p_{\mathrm{T}}$,
between $5.5\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$ and
$20\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$ at
$\sqrt{s}=$1.96\text{\,}\mathrm{Te\kern-0.50003ptV}$$ in $p\overline{p}$
collisions [15]. At the LHC, charm cross-sections in $pp$ collisions have been
measured in the $|y|<0.5$ region for
$p_{\mathrm{T}}>$1\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
at $\sqrt{s}=$2.76\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and for
$p_{\mathrm{T}}>$0\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
at $\sqrt{s}=$7\text{\,}\mathrm{Te\kern-0.50003ptV}$$ by the ALICE experiment
[16, 17, 18, 19], and for pseudorapidity $|\eta|<2.1$ in the $p_{\mathrm{T}}$
region
$3.5<p_{\mathrm{T}}<$100\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
at $\sqrt{s}=$7\text{\,}\mathrm{Te\kern-0.50003ptV}$$ by the ATLAS experiment
[20]. The LHCb experiment has recorded the world’s largest dataset of charm
hadrons to date and this has led to numerous high-precision measurements of
their production and decay properties. LHCb measured the cross-sections in the
forward region $2.0<y<4.5$ for
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
at $\sqrt{s}=$7\text{\,}\mathrm{Te\kern-0.50003ptV}$$ [21] and for
$0<p_{\mathrm{T}}<$15\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
at $\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ [22].

Charm mesons produced at the $pp$ collision point, either directly or as decay
products of excited charm resonances, are referred to as promptly produced. No
attempt is made to distinguish between these two sources. This paper presents
measurements of the cross-sections for the prompt production of ${D}^{0}$,
${D}^{+}$, ${D}^{+}_{s}$, and $D^{*}(2010)^{+}$ (henceforth denoted as
${D}^{*+}$) mesons, based on data corresponding to an integrated luminosity of
$8.60\pm 0.33\text{\,}{\mathrm{pb}}^{-1}$. Charm mesons produced through the
decays of $b$ hadrons are referred to as secondary charm and are considered
here as a background process.

The analysis techniques described in this paper are nearly identical to those
used in the measurements made at
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ [22], allowing for very
precise determination of the ratios between the two results.

Section 2 describes the detector, data acquisition conditions, and the
simulation; this is followed by a summary of the data analysis in Sec. 3. The
differential cross-section results are given in Sec. 4 while Sec. 5 presents
the measurements of integrated cross-sections and of the ratios of the cross-
sections measured at $\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ to
those at $13\text{\,}\mathrm{Te\kern-0.50003ptV}$. The theoretical predictions
and their comparison with the results of this paper are discussed in Sec. 6.
Section 7 provides a summary.

##  2 Detector and simulation

The LHCb detector [23, 24] is a single-arm forward spectrometer covering the
pseudorapidity range $2<\eta<5$, designed for the study of particles
containing $b$ or $c$ quarks. The detector includes a high-precision tracking
system consisting of a silicon-strip vertex detector surrounding the $pp$
interaction region, a large-area silicon-strip detector located upstream of a
dipole magnet with a bending power of about $4{\rm\,Tm}$, and three stations
of silicon-strip detectors and straw drift tubes placed downstream of the
magnet. The tracking system provides a measurement of momentum of charged
particles with a relative uncertainty that varies from 0.5% at low momentum to
1.0% at $200\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$. The
minimum distance of a track to a primary vertex (PV), the impact parameter
(IP), is measured with a resolution of
$(15+29/p_{\mathrm{T}})\,$\mathrm{\SIUnitSymbolMicro m}$$, where
$p_{\mathrm{T}}$ is the component of the momentum transverse to the beam, in
$\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$. Different types of charged
hadrons are distinguished by information from two ring-imaging Cherenkov
detectors. Photons, electrons and hadrons are identified by a calorimeter
system consisting of scintillating-pad and preshower detectors, an
electromagnetic calorimeter and a hadronic calorimeter. Muons are identified
by a system composed of alternating layers of iron and multiwire proportional
chambers.

The online event selection is performed by a trigger. This consists of a
hardware stage, which, for this analysis, randomly selects a pre-defined
fraction of all beam-beam crossings at a rate of $300\text{\,}\mathrm{kHz}$,
followed by a software stage. In between the hardware and software stages, an
alignment and calibration of the detector is performed in near real-time [25]
and updated constants are made available for the trigger. The same alignment
and calibration information is propagated to the offline reconstruction,
ensuring consistent and high-quality particle identification (PID) information
between the trigger and offline software. The identical performance of the
online and offline reconstruction offers the opportunity to perform physics
analyses directly using candidates reconstructed in the trigger [26, 27],
which the present analysis exploits. The storage of only the triggered
candidates enables a reduction in the event size by an order of magnitude.

In the simulation, $pp$ collisions are generated with Pythia 8.1 [28, 29]
using a specific LHCb configuration similar to the one described in Ref. [30].
Decays of hadronic particles are described by EvtGen [31] in which final-state
radiation is generated with Photos [32]. The implementation of the interaction
of the generated particles with the detector, and its response, uses the
Geant4 toolkit [33, *Agostinelli:2002hh] as described in Ref. [35].

##  3 Analysis strategy

The analysis methodology is very similar to that used to measure the prompt
production cross-sections at
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ [22], of which a summary
is given below. The measurement at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ reconstructs the same final
states: ${{D}^{0}}\to K^{-}\pi^{+}$, ${{D}^{+}}\to K^{-}\pi^{+}\pi^{+}$,
${{D}^{+}_{s}}\to(K^{-}K^{+})_{\phi}\pi^{+}$ and ${{D}^{*+}}\to{{D}^{0}}(\to
K^{-}\pi^{+})\pi^{+}$. Throughout this paper, charge conjugation is implied
and thus the ${{D}^{0}}\to K^{-}\pi^{+}$ sample contains the sum of the
Cabibbo-favoured decays ${{D}^{0}}\to K^{-}\pi^{+}$ and the doubly Cabibbo-
suppressed decays ${{\kern 1.99997pt\overline{\kern-1.99997ptD}{}}{}^{0}}\to
K^{-}\pi^{+}$. The ${{D}^{+}_{s}}\to(K^{-}K^{+})_{\phi}\pi^{+}$ sample
comprises all reconstructed ${{D}^{+}_{s}}\to K^{-}K^{+}\pi^{+}$ decays where
the invariant mass of the $K^{-}K^{+}$ pair falls into a
$\pm$20\text{\,}\mathrm{\kern-1.99997pt\per\kern-1.49994pt\squared}$$ window
around the nominal $\phi(1020)$ mass, taken to be
$1020\text{\,}\mathrm{\kern-1.99997pt\per\kern-1.49994pt\squared}$.

The cross-sections are measured in two-dimensional bins of $p_{\mathrm{T}}$
and $y$ of the reconstructed mesons, where $p_{\mathrm{T}}$ and $y$ are
measured in the $pp$ centre-of-mass frame with respect to the $pp$ collision
axis. The bin widths are $0.5$ in $y$ covering a range of $2.0<y<4.5$ and
$1\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$ in
$p_{\mathrm{T}}$ for
$0<p_{\mathrm{T}}<$10\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$.

###  3.1 Selection of candidates

Candidates for ${D}^{0}$, ${D}^{+}$ and ${D}^{+}_{s}$ mesons are formed in
events containing at least one reconstructed PV by combining tracks that have
been positively identified as kaons or pions by the LHCb PID system. These
tracks are required to be above a transverse momentum threshold that depends
on the decay mode, and must be consistent with originating from a common
vertex. Due to the long lifetimes of the studied charm mesons, this common
vertex is required to be significantly displaced from any reconstructed PV and
the displacement vector with respect to the closest PV must align with the
combined momentum of the tracks. Candidates for ${D}^{*+}$ mesons are formed
by combining a ${D}^{0}$ and a charged pion candidate, requiring that both
form a good quality vertex. Applying the selection, 1% of all events have more
than one selected candidate, all of which are considered in this analysis.

The efficiencies for the reconstruction and selection of charm meson
candidates are obtained for each $(p_{\mathrm{T}},y)$ bin in a near-identical
manner to the $\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ measurement
[22]. All efficiencies are evaluated using the event simulation, except for
the efficiencies for identifying kaons and pions and the tracking
efficiencies. Kaon and pion identification efficiencies are evaluated using a
high purity calibration sample of ${{D}^{*+}}\to{{D}^{0}}(\to
K^{-}\pi^{+})\pi^{+}$ decays which have been selected without PID
requirements. Only the correct assignment of the kaon and pion hypotheses for
the decay products of the ${D}^{0}$ candidates yields the expected shapes in
the mass distributions. The numbers of true kaon and pion tracks in the
calibration sample are determined from maximum likelihood fits to the
${D}^{0}$ and ${D}^{*+}$ candidate invariant mass distributions, as described
in Section 3.2. The identification efficiency for a true kaon or pion to pass
a given PID requirement is computed by performing these fits in bins of track
multiplicity and track kinematics before and after the selection. This
technique differs slightly from that used in the analysis of the
${\sqrt{s}}={$13\text{\,}\mathrm{Te\kern-0.50003ptV}$}$ data, where a single
maximum likelihood fit was performed on the calibration sample integrated
across all bins, and the per-bin kaon and pion yields were computed by summing
sWeights [36]. The change leads to a stable solution for sparsely populated
bins and is introduced due to the substantially smaller size of the
calibration sample compared to the
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ measurement. Tracking
efficiencies in the simulation are corrected with a factor derived from data
as described in Ref. [37] with typical values in the range of 0.97 to 1.02.

###  3.2 Determination of signal yields

The data contain a mixture of prompt signal decays, secondary charm mesons
produced in decays of $b$ hadrons, and combinatorial background. While
combinatorial background can be distinguished from signal decays in the
invariant mass distribution of charm meson candidates, both prompt signal
decays and secondary charm mesons have the same mass shape. However, secondary
charm mesons will, on average, have a greater IP with respect to the closest
PV than prompt signal, and this is exploited by using the spectrum of
$\ln{\left(\chi^{2}_{\rm IP}\right)}$ of the charm meson candidates, where
$\chi^{2}_{\rm IP}$ is defined as the difference in $\chi^{2}$ of the PV fit,
performed with and without the particle under consideration.

The prompt signal yield in each $(p_{\mathrm{T}},y)$ bin is obtained from a
fit to the $\ln{\left(\chi^{2}_{\rm IP}\right)}$ distribution of the charm
meson within a
$20\text{\,}\mathrm{\kern-1.99997pt\per\kern-1.49994pt\squared}$ window around
the known mass [38] of the ${D}^{0}$, ${D}^{+}$, or ${D}^{+}_{s}$ meson,
corresponding to approximately 2.5 times the mass resolution. For the
${D}^{*+}$ measurements, an additional signal window around the nominal
$\Delta{m}=m({{D}^{*+}})-m({{D}^{0}})$ value of
$145.43\text{\,}\mathrm{\kern-1.99997pt\per\kern-1.49994pt\squared}$ [38] is
used, and the fit is made to the $\ln{\left(\chi^{2}_{\rm IP}\right)}$
distribution of the ${D}^{0}$ meson. Candidates outside the signal region are
used to construct templates for the combinatorial background shape in the
$\ln{\left(\chi^{2}_{\rm IP}\right)}$ distributions. For the ${D}^{0}$,
${D}^{+}$, and ${D}^{+}_{s}$ measurements, a fit to the invariant mass
distributions is used to constrain the number of combinatorial background
candidates in the $\ln{\left(\chi^{2}_{\rm IP}\right)}$ fit. A fit to the
$\Delta{m}$ distribution is used for the ${D}^{*+}$ measurements. The fits to
the invariant mass, $\Delta{m}$, and $\ln{\left(\chi^{2}_{\rm IP}\right)}$
distributions are performed as extended binned maximum likelihood fits,
performed simultaneously across all $(p_{\mathrm{T}},y)$ bins. The fit model
definitions, and the choice of model parameters that are shared across
$(p_{\mathrm{T}},y)$ bins, are identical to those used in the
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ measurement [22].

The sums of the fits over all $(p_{\mathrm{T}},y)$ bins are given in Figs.
1–4. The fits generally describe the data well. Inaccuracies in the
description of the data by the fit model are found to have only a small effect
on the estimated prompt signal yield and are taken into account as systematic
uncertainties. The sums of the prompt signal yields, as determined by the
fits, are given in Table 1.

Table 1: Prompt signal yields in the fully selected dataset, summed over all $(p_{\mathrm{T}},y)$ bins in which a measurement is made. Only statistical uncertainties are given.  Hadron | Prompt signal yield
---|---
${D}^{0}$ | $(34.4\pm 0.7)\times 10^{4}$
${D}^{+}$ | $(27.6\pm 0.6)\times 10^{4}$
${D}^{+}_{s}$ | $(13.2\pm 0.1)\times 10^{3}$
${D}^{*+}$ | $(39.0\pm 0.2)\times 10^{3}$

Figure 1: Distributions for selected ${{D}^{0}}\to K^{-}\pi^{+}$ candidates:
(left) $K^{-}\pi^{+}$ invariant mass and (right) $\ln{\left(\chi^{2}_{\rm
IP}\right)}$ for a mass window of
$\pm$20\text{\,}\mathrm{\kern-1.79997pt\per\kern-1.34995pt\squared}$$ around
the nominal ${D}^{0}$ mass. The sum of the simultaneous likelihood fits in
each $(p_{\mathrm{T}},y)$ bin is shown, with components as indicated in the
legends.

Figure 2: Distributions for selected ${{D}^{+}}\to K^{-}\pi^{+}\pi^{+}$
candidates: (left) $K^{-}\pi^{+}\pi^{+}$ invariant mass and (right)
$\ln{\left(\chi^{2}_{\rm IP}\right)}$ for a mass window of
$\pm$20\text{\,}\mathrm{\kern-1.79997pt\per\kern-1.34995pt\squared}$$ around
the nominal ${D}^{+}$ mass. The sum of the simultaneous likelihood fits in
each $(p_{\mathrm{T}},y)$ bin is shown, with components as indicated in the
legends.

Figure 3: Distributions for selected
${{D}^{+}_{s}}\to(K^{-}K^{+})_{\phi}\pi^{+}$ candidates: (left)
$K^{+}K^{-}\pi^{+}$ invariant mass and (right) $\ln{\left(\chi^{2}_{\rm
IP}\right)}$ for a mass window of
$\pm$20\text{\,}\mathrm{\kern-1.79997pt\per\kern-1.34995pt\squared}$$ around
the nominal ${D}^{+}_{s}$ mass. The sum of the simultaneous likelihood fits in
each $(p_{\mathrm{T}},y)$ bin is shown, with components as indicated in the
legends.

Figure 4: Distributions for selected ${{D}^{*+}}\to{{D}^{0}}\pi^{+}$
candidates, with ${{D}^{0}}\to K^{-}\pi^{+}$: (left)
$\Delta{m}=m({{D}^{*+}})-m({{D}^{0}})$ for a mass window of
$\pm$20\text{\,}\mathrm{\kern-1.79997pt\per\kern-1.34995pt\squared}$$ around
the nominal ${D}^{0}$ mass and (right) $\ln{\left(\chi^{2}_{\rm IP}\right)}$
of the ${D}^{0}$ with an additional mass window of
$\pm$3\text{\,}\mathrm{\kern-1.79997pt\per\kern-1.34995pt\squared}$$ around
the nominal ${D}^{*+}$\- ${D}^{0}$ mass difference. The sum of the
simultaneous likelihood fits in each $(p_{\mathrm{T}},y)$ bin is shown, with
components as indicated in the legends.

##  4 Cross-section measurements

In each $(p_{\mathrm{T}},y)$ bin $i$, the bin averaged differential cross-
section for producing the charm meson $D$ is calculated from the relation

$\frac{\text{d}^{2}\sigma_{i}(D)}{\text{d}p_{\mathrm{T}}\,\text{d}y}=\frac{1}{\Delta
p_{\mathrm{T}}\Delta y}\cdot\frac{N_{i}(\mbox{$D\to
f$}+\text{c.c.})}{\varepsilon_{i,\text{tot}}(\mbox{$D\to
f$})\mathcal{B}(\mbox{$D\to f$})\,\kappa\,\mathcal{L}_{\text{int}}},$ (1)

where $\Delta p_{\mathrm{T}}$ and $\Delta y$ are the widths in
$p_{\mathrm{T}}$ and $y$ of bin $i$, $N_{i}(\mbox{$D\to f$}+\text{c.c.})$ is
the measured yield of prompt $D$ decays to the final state $f$ in bin $i$ from
the $\ln{\left(\chi^{2}_{\rm IP}\right)}$ fit including the charge-conjugate
decay, and $\varepsilon_{i,\text{tot}}(\mbox{$D\to f$})$ is the total
efficiency for observing the signal decay in bin $i$. The total integrated
luminosity collected, $\mathcal{L}_{\text{int}}$, is $8.60\pm
0.33\text{\,}{\mathrm{pb}}^{-1}$ and $\kappa=1.86\%$ is the efficiency of the
hardware trigger. The integrated luminosity of the dataset is evaluated from
the number of visible $pp$ collisions and a constant of proportionality that
is measured in a dedicated calibration dataset. The absolute luminosity for
the calibration dataset is determined from the beam currents, which are
measured by LHC instruments, and the beam profiles and overlap integral, which
are measured with a beam-gas imaging method [39]. In contrast to Ref. [39], no
van der Meer scan is used. The correlation coefficient between the
uncertainties of the luminosity measurements at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ is 32%.

The values for the branching fractions, taken from Ref. [40], are identical to
those used in the $\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$
measurement [22], thus ensuring a complete cancellation in ratios between
cross-sections measured at 13 and $5\text{\,}\mathrm{Te\kern-0.50003ptV}$. The
values $\mathcal{B}(\mbox{${{D}^{+}}\to K^{-}\pi^{+}\pi^{+}$})$,
$\mathcal{B}(\mbox{${{D}^{*+}}\to{{D}^{0}}(\to K^{-}\pi^{+})\pi^{+}$})$, and
$\mathcal{B}(\mbox{${{D}^{0}}\to K^{\mp}\pi^{\pm}$})$ are $(9.13\pm 0.19)\%$,
$(2.63\pm 0.04)\%$, and $(3.89\pm 0.05)\%$, respectively. For the
${D}^{+}_{s}$ measurement the fraction of ${{D}^{+}_{s}}\to K^{-}K^{+}\pi^{+}$
decays with a $K^{-}K^{+}$ invariant mass in the range
$1000<m_{K^{-}K^{+}}<$1040\text{\,}\mathrm{\kern-1.99997pt\per\kern-1.49994pt\squared}$$
is taken as $(2.24\pm 0.13)\%$ [41].

Several sources of systematic uncertainty are identified and evaluated for
each decay mode and $(p_{\mathrm{T}},y)$ bin as described in Ref. [22]. For
all decay modes, the dominant uncertainties in most bins are due to the
luminosity and the estimation of the tracking efficiencies. The calibration of
the tracking efficiencies is performed independently for datasets taken at
different centre-of-mass energies, leading to different relative uncertainties
compared to the ${\sqrt{s}}={$13\text{\,}\mathrm{Te\kern-0.50003ptV}$}$
analysis. The simulated sample gives rise to systematic uncertainties due to
its finite size and imperfect modelling of the selection variables.
Uncertainties are also evaluated for the PID calibration procedure to account
for the finite size of the calibration sample and residual differences of the
kinematic distributions between the calibration sample and the final state
tracks. Additionally, an uncertainty is evaluated to account for the choice of
fit models used in the determination of the signal yields. Table 2 lists the
fractional systematic uncertainties for the different decay modes and their
correlations between different $(p_{\mathrm{T}},y)$ bins and decay modes.

The measured differential cross-sections are tabulated in Appendix A. Figures
5 and 6 show the ${D}^{0}$, ${D}^{+}$, ${D}^{+}_{s}$, and ${D}^{*+}$ cross-
section measurements and predictions [1, 2, 3], which are discussed in Sec. 6.

Table 2: Fractional systematic uncertainties, in percent. Uncertainties that are computed bin-by-bin are expressed as ranges giving the minimum to maximum values. Ranges for the correlations between $p_{\mathrm{T}}$-$y$ bins and between modes are also given, expressed in percent.  | Uncertainties (%) | Correlations (%)
---|---|---
| ${D}^{0}$ | ${D}^{+}$ | ${D}^{+}_{s}$ | ${D}^{*+}$ | Bins | Decay modes
Luminosity | 3.8 | 100 | 100
Tracking | 3–5 | 5–7 | 4–7 | 5–7 | 90–100 | 90–100
Branching fractions | 1.2 | 2.1 | 5.8 | 1.5 | 100 | 0–95
Simulation sample size | 0–10 | 0–10 | 2–9 | 1–10 | 0 | 0
Simulation modelling | 0.3 | 0.7 | 0.6 | 2 | 0 | 0
PID sample size | 0–1 | 0–1 | 0–2 | 0–2 | 0–100 | 0–100
PID binning | 0–30 | 0–10 | 0–20 | 0–20 | 0 | 0
Fit model shapes | 0–3 | 0–3 | 0–3 | 0.0–1.0 | 0 | 0

Figure 5: Measurements and predictions for the absolute prompt (top)
${D}^{0}$, and (bottom) ${D}^{+}$ cross-sections at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.45003ptV}$$. Each set of measurements
and predictions in a given rapidity bin is offset by a multiplicative factor
$10^{-m}$, where the factor $m$ is shown on the plots. The boxes indicate the
$\pm 1\sigma$ uncertainty band on the theory predictions, where only the upper
edge is shown if the uncertainty exceeds two orders of magnitude.

Figure 6: Measurements and predictions for the absolute prompt (top)
${D}^{+}_{s}$, and (bottom) ${D}^{*+}$ cross-sections at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.45003ptV}$$. Each set of measurements
and predictions in a given rapidity bin is offset by a multiplicative factor
$10^{-m}$, where the factor $m$ is shown on the plots. The boxes indicate the
$\pm 1\sigma$ uncertainty band on the theory predictions, where only the upper
edge is shown if the uncertainty exceeds two orders of magnitude.

##  5 Production ratios and integrated cross-sections

###  5.1 Production ratios

The present analysis uses the same techniques as the LHCb measurement at
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$. Therefore, several
sources of systematic uncertainty are highly correlated, leading to cross-
section ratios between $\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$, $R_{13/5}$, with greatly
reduced relative uncertainties compared to the differential cross-sections.
Furthermore, the predicted ratios of prompt charm production cross-sections
between different centre-of-mass energies have cancellations of several
theoretical uncertainties [1, 2, 3]. The
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ measurements are rebinned
to match the binning used for the present results and the production ratios
are presented for
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
and $2.0<y<4.5$ in Appendix B. Figure 7 shows the measured ratios for
${D}^{0}$, ${D}^{+}$, ${D}^{+}_{s}$, and ${D}^{*+}$ mesons compared with
predictions from theory calculations [1, 2, 3], discussed in Sec. 6.

A second set of differential ratios is obtained by dividing the prompt charm
production cross-sections of different charm mesons. These can be compared
with the ratios of the cross-sections measured at $e^{+}e^{-}$ colliders
operating at a centre-of-mass energy close to the $\Upsilon(4S)$ resonance
[42, 43, 44]. Those measurements were performed with the same final states as
the analysis presented here. Therefore, a more precise comparison is made by
taking ratios of $\sigma(D)\times\mathcal{B}(\mbox{$D\to f$})$. Differential
ratios are shown in Figs. 8 and 9, and tabulated results are presented in
Appendix C. The measurements in each $p_{\mathrm{T}}$ bin are shown integrated
over $y$ for clearer visualisation. They exhibit a $p_{\mathrm{T}}$ dependence
that is consistent with heavier particles having a harder $p_{\mathrm{T}}$
spectrum.

###  5.2 Integrated cross-sections

Integrated production cross-sections, $\sigma(D)$, for each charm meson are
computed as the sum of the measurements in each bin, where the uncertainty on
the sum takes into account the correlations between bins. Integrated cross-
sections are computed for all four mesons in the kinematic region
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
and $2.0<y<4.5$ and additionally down to
$p_{\mathrm{T}}=$0\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
for ${D}^{0}$ and ${D}^{+}$. The upper limit of
$p_{\mathrm{T}}=$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
is chosen to match that of the measurements at
$\sqrt{s}=$7\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$.

Contributions from bins within the integration range for which a measurement
was not possible are estimated using a theory-based correction factor,
computed as the ratio between the predicted integrated cross-section within
the considered kinematic region and the sum of all cross-section predictions
for bins for which a measurement exists, as in Ref. [22]. POWHEG+NNPDF3.0L [1]
predictions, discussed in the next section, are used to compute the
extrapolation factor. From the differences between the central value and the
upper and lower bounds on the prediction, the larger of the two is assigned as
systematic uncertainty of the extrapolation factor. Table 3 gives the
integrated cross-sections for ${D}^{0}$, ${D}^{+}$, ${D}^{+}_{s}$, and
${D}^{*+}$ mesons and Table 4 gives the corresponding values for the ratios of
integrated cross-sections measured at
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and
$5\text{\,}\mathrm{Te\kern-0.50003ptV}$.

The integrated $c\overline{}c$ production cross-section, $\sigma(\mbox{$pp\to
c\overline{}cX$})$, is calculated as $\sigma(D)/(2f(\mbox{$c\to D$}))$ for
each decay mode. The term $f(\mbox{$c\to D$})$ is the quark-to-hadron
transition probability, and the factor 2 accounts for the inclusion of charge-
conjugate states in the measurement. Measurements at $e^{+}e^{-}$ colliders
operating at a centre-of-mass energy close to the $\Upsilon(4S)$ resonance are
used to determine the transition probabilities [45]
$f(\mbox{$c\to{{D}^{0}}$})=0.565\pm 0.032$,
$f(\mbox{$c\to{{D}^{+}}$})=0.246\pm 0.020$,
$f(\mbox{$c\to{{D}^{+}_{s}}$})=0.080\pm 0.017$, and
$f(\mbox{$c\to{{D}^{*+}}$})=0.224\pm 0.028$. The fragmentation fraction
$f(\mbox{$c\to{{D}^{0}}$})$ has an overlapping contribution from
$f(\mbox{$c\to{{D}^{*+}}$})$.

The combination of the individual ${D}^{0}$ and ${D}^{+}$ measurements of the
$c\overline{}c$ cross-section is performed by means of a weighted average that
minimises the variance of the estimate [46], giving

$\sigma{(\mbox{$pp\to
c\overline{}cX$})}_{p_{\mathrm{T}}\,<\,8\,$\mathrm{\giga\kern-1.39998pt\per\kern-1.04996pt}$,\,2.0\,<\,y\,<\,4.5}=$1193\pm
3\pm 67\pm 58\text{\,}\mathrm{\SIUnitSymbolMicro b}$,$

where the uncertainties are due to statistical, systematic and fragmentation
fraction uncertainties, respectively. The specified kinematic range refers to
the produced charm hadron, not the individual charm quarks. A comparison with
predictions is given in Fig. 10. The same Figure also shows a comparison of
$\sigma(\mbox{$pp\to c\overline{}cX$})$ for
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
based on the measurements of the four meson species. Ratios of the integrated
measurements of cross-section times branching fraction are given in Table 5.

Table 3: Prompt $D$-meson production cross-sections in the kinematic ranges
given. The computation of the extrapolation factors is described in Ref [22].
The first uncertainty on the cross-section is statistical, and the second is
systematic and includes the contribution from the extrapolation factor. A dash
indicates that measurements are available in all bins and no extrapolation
factor is needed. Integrated numbers in the reduced acceptance $2.5<y<4.0$ are
quoted as reference for future heavy ion measurements.

Extrapolation factor Cross-section ($\mathrm{\SIUnitSymbolMicro b}$) ${D}^{0}$
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.0013\pm 0.0019$ $1374\pm\phantom{1}3\pm\phantom{1}74$ ${D}^{+}$
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.108\pm 0.049$ $551\pm\phantom{1}5\pm\phantom{1}48$ ${D}^{0}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.0017\pm 0.0020$ $1004\pm\phantom{1}3\pm\phantom{1}54$ ${D}^{+}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.00062\pm 0.00099$ $402\pm\phantom{1}2\pm\phantom{1}30$
${D}^{+}_{s}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.0734\pm 0.0080$ $170\pm\phantom{1}4\pm\phantom{1}16$ ${D}^{*+}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.122\pm 0.046$ $421\pm\phantom{1}5\pm\phantom{1}36$ ${D}^{0}$
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2.5<y<4$ — $866\pm\phantom{1}2\pm\phantom{1}45$ ${D}^{+}$
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2.5<y<4$ — $349\pm\phantom{1}4\pm\phantom{1}27$ ${D}^{0}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2.5<y<4$ — $630\pm\phantom{1}2\pm\phantom{1}33$ ${D}^{+}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2.5<y<4$ — $253\pm\phantom{1}1\pm\phantom{1}18$ ${D}^{+}_{s}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2.5<y<4$ — $110\pm\phantom{1}2\pm\phantom{1}10$ ${D}^{*+}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2.5<y<4$ — $267\pm\phantom{1}3\pm\phantom{1}21$

Table 4: Ratios of integrated prompt $D$-meson production cross-sections
between measurements at $\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.45003ptV}$$
and $\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.45003ptV}$$. The first uncertainty
on the ratio is statistical, and the second is systematic.

$R_{13/5}$ ${D}^{0}$
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $1.977\pm 0.005\pm 0.120$ ${D}^{+}$
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $\phantom{1}2.02\pm\phantom{1}0.02\pm\phantom{1}0.22$ ${D}^{0}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $2.070\pm 0.006\pm 0.121$ ${D}^{+}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $\phantom{1}2.09\pm\phantom{1}0.01\pm\phantom{1}0.19$ ${D}^{+}_{s}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $\phantom{1}2.09\pm\phantom{1}0.07\pm\phantom{1}0.23$ ${D}^{*+}$
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
$2<y<4.5$ $\phantom{1}1.87\pm\phantom{1}0.03\pm\phantom{1}0.23$

Table 5: Ratios of the measurements of cross-section times branching fraction
in the kinematic range
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.79997pt\per\kern-1.34995pt}$$
and $2<y<4.5$. The first uncertainty on the ratio is statistical and the
second is systematic. The notation $\sigma(\mbox{$D\to f$})$ is shorthand for
$\sigma(D)\times\mathcal{B}(\mbox{$D\to f$})$.

Quantity Measurement $\sigma(\mbox{${{D}^{+}}\to
K^{-}\pi^{+}\pi^{+}$})/\sigma(\mbox{${{D}^{0}}\to K^{-}\pi^{+}$})$
$\phantom{1}0.943^{+\phantom{1}0.005}_{-\phantom{1}0.005}$${}^{+\phantom{1}0.029}_{-\phantom{1}0.029}$
$\sigma({{D}^{+}_{s}}\to[K^{-}K^{+}]_{\phi}\pi^{+})/\sigma(\mbox{${{D}^{0}}\to
K^{-}\pi^{+}$})$ $0.0983^{+0.0021}_{-0.0021}$${}^{+0.0035}_{-0.0035}$
$\sigma({{D}^{*+}}\to[K^{-}\pi^{+}]_{{{D}^{0}}}\pi^{+})/\sigma(\mbox{${{D}^{0}}\to
K^{-}\pi^{+}$})$
$\phantom{1}0.283^{+\phantom{1}0.004}_{-\phantom{1}0.004}$${}^{+\phantom{1}0.016}_{-\phantom{1}0.016}$
$\sigma({{D}^{+}_{s}}\to[K^{-}K^{+}]_{\phi}\pi^{+})/\sigma(\mbox{${{D}^{+}}\to
K^{-}\pi^{+}\pi^{+}$})$ $0.1042^{+0.0022}_{-0.0022}$${}^{+0.0031}_{-0.0031}$
$\sigma({{D}^{*+}}\to[K^{-}\pi^{+}]_{{{D}^{0}}}\pi^{+})/\sigma(\mbox{${{D}^{+}}\to
K^{-}\pi^{+}\pi^{+}$})$
$\phantom{1}0.300^{+\phantom{1}0.004}_{-\phantom{1}0.004}$${}^{+\phantom{1}0.015}_{-\phantom{1}0.015}$
$\sigma({{D}^{+}_{s}}\to[K^{-}K^{+}]_{\phi}\pi^{+})/\sigma({{D}^{*+}}\to[K^{-}\pi^{+}]_{{{D}^{0}}}\pi^{+})$
$\phantom{1}0.348^{+\phantom{1}0.008}_{-\phantom{1}0.009}$${}^{+\phantom{1}0.018}_{-\phantom{1}0.018}$

Figure 7: Measurements and predictions of the prompt ${D}^{0}$, ${D}^{+}$,
${D}^{+}_{s}$, and ${D}^{*+}$ cross-section ratios between $\sqrt{s}=13$ and
$5\text{\,}\mathrm{Te\kern-0.45003ptV}$. Each set of measurements and
predictions in a given rapidity bin is offset by an additive constant $m$,
which is shown on the plot. Only central values are provided for the GMVFNS
predictions.

Figure 8: Ratios of the measurements of cross-section times branching fraction
of (top) ${D}^{+}$, (middle) ${D}^{+}_{s}$, and (bottom) ${D}^{*+}$ mesons
with respect to the ${D}^{0}$ measurements. The bands indicate the
corresponding ratios computed using measurements from $e^{+}e^{-}$ collider
experiments [42, 43, 44]. The ratios are given as a function of
$p_{\mathrm{T}}$ integrated over $y$. The notation $\sigma(\mbox{$D\to f$})$
is shorthand for $\sigma(D)\times\mathcal{B}(\mbox{$D\to f$})$.

Figure 9: Ratios of the measurements of cross-section times branching fraction
of (top) ${D}^{*+}$, and (middle) ${D}^{+}_{s}$ mesons with respect to
${D}^{+}$ cross-sections, and (bottom) ${D}^{+}_{s}$ over ${D}^{*+}$ mesons.
The bands indicate the corresponding ratios computed using measurements from
$e^{+}e^{-}$ collider experiments [42, 43, 44]. The ratios are given as a
function of $p_{\mathrm{T}}$ integrated over $y$. The notation
$\sigma(\mbox{$D\to f$})$ is shorthand for
$\sigma(D)\times\mathcal{B}(\mbox{$D\to f$})$.

##  6 Comparison to theory

Theoretical calculations for charm meson production cross-sections in $pp$
collisions at $\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$, according to
the same methods described in Refs. [1] (POWHEG+NNPDF3.0L), [2] (FONLL) and
[3] (GMVFNS), have been provided by the authors. All sets of calculations are
performed at NLO precision, and each includes estimates of theoretical
uncertainties due to the renormalisation and factorisation scales. The
theoretical uncertainties provided with the POWHEG+NNPDF3.0L predictions also
include contributions due to uncertainties in the effective charm quark mass
and the parton distribution functions.

The FONLL predictions are provided in the form of ${D}^{0}$, ${D}^{+}$, and
${D}^{*+}$ production cross-sections for $pp$ collisions at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ for each phase space bin in
the range
$p_{\mathrm{T}}<$10\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
and $2.0<y<4.5$. Ratios of these cross-sections to those computed for $pp$
collisions at $13\text{\,}\mathrm{Te\kern-0.50003ptV}$ are also supplied. The
calculations use the NNPDF3.0 NLO [47] parton densities. These FONLL
calculations of the meson differential production cross-sections assume
$f(\mbox{$c\to D$})=1$ and are multiplied by the transition probabilities
measured at $e^{+}e^{-}$ colliders for comparison to the current measurements.
No dedicated FONLL cross-section calculation for ${D}^{+}_{s}$ production is
available.

Figure 10: Integrated $c\overline{}c$ cross-sections (black diamonds), their
average (black circle and blue band) and theory predictions (red squares) [1,
2] are shown (left) based on the ${D}^{0}$ and ${D}^{+}$ for
$0<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.79997pt\per\kern-1.34995pt}$$
and (right) for measurements based on all four mesons for
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.79997pt\per\kern-1.34995pt}$$.

The POWHEG+NNPDF3.0L predictions provide ${D}^{0}$, ${D}^{+}$, and
${D}^{+}_{s}$ integrated production cross-sections for $pp$ collisions at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ in the same
$p_{\mathrm{T}}$ and $y$ binning used for the measurement. Ratios of
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ to
$5\text{\,}\mathrm{Te\kern-0.50003ptV}$ cross-sections are also predicted for
${D}^{0}$, ${D}^{+}$ and ${D}^{+}_{s}$. They are obtained with Powheg [48]
matched to Pythia8 [49] parton showers and an improved version of the NNPDF3.0
NLO parton distribution function set designated NNPDF3.0+LHCb [1]. To produce
this improved set, the authors of Ref. [1] weight the NNPDF3.0 NLO set in
order to match FONLL calculations to the LHCb charm cross-section measurements
at $7\text{\,}\mathrm{Te\kern-0.50003ptV}$ [21]. This results in a significant
reduction in the uncertainties for the gluon distribution function at small
momentum fraction $x$. Predictions for the integrated cross-section are
provided for each meson.

The GMVFNS calculations include theoretical predictions for the absolute
cross-sections for all mesons studied in this analysis. Predictions of central
values are also provided for the cross-section ratios between mesons. Results
are provided for
$3<p_{\mathrm{T}}<$10\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$.
Here the CT10 [50] set of parton distributions is used. The GMVFNS theoretical
framework includes the convolution with fragmentation functions describing the
transition $c\to D$ that are normalised to the respective total transition
probabilities [8, 51]. The fragmentation functions are taken from a fit to
production measurements at $e^{+}e^{-}$ colliders, where no attempt is made to
separate direct production and feed-down from higher resonances.

In general, the predicted shapes of the cross-sections at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ agree with the data shown
in Figures 5 and 6. The central values of the measurements generally lie above
those of the theory predictions, albeit within the uncertainties provided. For
the POWHEG+NNPDF3.0L and FONLL predictions, the data tend to lie at the upper
edge of the uncertainty band. The GMVFNS predictions provide a better
description of the data, although the cross-sections decrease with
$p_{\mathrm{T}}$ at a higher rate than the data near their low
$p_{\mathrm{T}}$ limit of
$3\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$. Similar
behaviour was observed for the
$\sqrt{s}=$7\text{\,}\mathrm{Te\kern-0.50003ptV}$$ measurement [21], where
only central values were shown for the FONLL prediction, and for the
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ measurement [22], where in
both cases the predictions gave lower cross-sections than the data.

The data generally agree well with the FONLL, POWHEG+NNPDF3.0L and GMVFNS
predictions for the ratios of cross-sections at
$\sqrt{s}=$13\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and
$5\text{\,}\mathrm{Te\kern-0.50003ptV}$, shown in Figure 7. These ratio
measurements are significantly more precise than those previously presented
between cross-sections at
${\sqrt{s}}={$13\text{\,}\mathrm{Te\kern-0.50003ptV}$}$ and
$7\text{\,}\mathrm{Te\kern-0.50003ptV}$, and will act as stronger constraints
in PDF fits as a result.

##  7 Summary

A measurement of charm production in $pp$ collisions at a centre-of-mass
energy of $\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ has been
performed with data collected with the LHCb detector. While the shapes of the
differential cross-sections for ${D}^{0}$, ${D}^{+}$, ${D}^{+}_{s}$, and
${D}^{*+}$ mesons are found to be in agreement with NLO perturbative QCD
calculations, the measured values tend to lie at the upper edge of the
predictions. This is a feature also common to the measurements at $\sqrt{s}=7$
and $13\text{\,}\mathrm{Te\kern-0.50003ptV}$, which indicates a general
underestimation in the prediction of the absolute value of prompt charm
production in the forward region. The ratios of the production cross-sections
for centre-of-mass energies of $13\text{\,}\mathrm{T}\mathrm{e}\mathrm{V}$ and
$5\text{\,}\mathrm{T}\mathrm{e}\mathrm{V}$ have been measured and show
consistency with theoretical predictions. The integrated cross-sections for
prompt open charm meson production in $pp$ collisions at
$\sqrt{s}=$5\text{\,}\mathrm{Te\kern-0.50003ptV}$$ and in the range
$1<p_{\mathrm{T}}<$8\text{\,}\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$$
and $2<y<4.5$ are

$\displaystyle\begin{array}[]{lcr}\sigma(\mbox{$pp\to{{D}^{0}}X$})&=&$1004\pm
3\pm 54\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\
\sigma(\mbox{$pp\to{{D}^{+}}X$})&=&$402\pm 2\pm
30\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\
\sigma(\mbox{$pp\to{{D}^{+}_{s}}X$})&=&$170\pm 4\pm
16\text{\,}\mathrm{\SIUnitSymbolMicro b}$,\\\
\sigma(\mbox{$pp\to{{D}^{*+}}X$})&=&$421\pm 5\pm
36\text{\,}\mathrm{\SIUnitSymbolMicro b}$.\\\ \end{array}$

## Acknowledgements

The authors would like to thank R. Gauld and J. Rojo for the provisions of the
POWHEG+NNPDF3.0L numbers; M. Cacciari, M.L. Mangano, and P. Nason for the
FONLL predictions; and H. Spiesberger and G. Kramer for the GMVFNS
calculations. We express our gratitude to our colleagues in the CERN
accelerator departments for the excellent performance of the LHC. We thank the
technical and administrative staff at the LHCb institutes. We acknowledge
support from CERN and from the national agencies: CAPES, CNPq, FAPERJ and
FINEP (Brazil); NSFC (China); CNRS/IN2P3 (France); BMBF, DFG and MPG
(Germany); INFN (Italy); FOM and NWO (The Netherlands); MNiSW and NCN
(Poland); MEN/IFA (Romania); MinES and FASO (Russia); MinECo (Spain); SNSF and
SER (Switzerland); NASU (Ukraine); STFC (United Kingdom); NSF (USA). We
acknowledge the computing resources that are provided by CERN, IN2P3 (France),
KIT and DESY (Germany), INFN (Italy), SURF (The Netherlands), PIC (Spain),
GridPP (United Kingdom), RRCKI and Yandex LLC (Russia), CSCS (Switzerland),
IFIN-HH (Romania), CBPF (Brazil), PL-GRID (Poland) and OSC (USA). We are
indebted to the communities behind the multiple open source software packages
on which we depend. Individual groups or members have received support from
AvH Foundation (Germany), EPLANET, Marie Skłodowska-Curie Actions and ERC
(European Union), Conseil Général de Haute-Savoie, Labex ENIGMASS and OCEVU,
Région Auvergne (France), RFBR and Yandex LLC (Russia), GVA, XuntaGal and
GENCAT (Spain), Herchel Smith Fund, The Royal Society, Royal Commission for
the Exhibition of 1851 and the Leverhulme Trust (United Kingdom).

Appendices

##  Appendix A Absolute cross-sections

Tables LABEL:table:differential:D0–LABEL:table:differential:Dstp give the
numerical results for the differential cross-sections.

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[0,1]$ $170$ ${}^{+}_{-}$ ${}^{3}_{3}$
${}^{+}_{-}$ ${}^{19}_{17}$ $173$ ${}^{+}_{-}$ ${}^{1}_{1}$ ${}^{+}_{-}$
${}^{10}_{10}$ $163.1$ ${}^{+}_{-}$ ${}^{1.3}_{1.3}$ ${}^{+}_{-}$
${}^{8.6}_{9.2}$ $136.5$ ${}^{+}_{-}$ ${}^{1.5}_{1.5}$ ${}^{+}_{-}$
${}^{8.2}_{7.4}$ $97.3$ ${}^{+}_{-}$ ${}^{2.4}_{2.4}$ ${}^{+}_{-}$
${}^{8.0}_{7.1}$ $[1,2]$ $255$ ${}^{+}_{-}$ ${}^{3}_{3}$ ${}^{+}_{-}$
${}^{21}_{19}$ $252$ ${}^{+}_{-}$ ${}^{1}_{1}$ ${}^{+}_{-}$ ${}^{13}_{15}$
$222$ ${}^{+}_{-}$ ${}^{1}_{1}$ ${}^{+}_{-}$ ${}^{11}_{12}$ $184$ ${}^{+}_{-}$
${}^{1}_{1}$ ${}^{+}_{-}$ ${}^{10}_{10}$ $130.1$ ${}^{+}_{-}$ ${}^{2.1}_{2.1}$
${}^{+}_{-}$ ${}^{8.2}_{7.9}$ $[2,3]$ $147.0$ ${}^{+}_{-}$ ${}^{1.5}_{1.5}$
${}^{+}_{-}$ ${}^{9.4}_{9.1}$ $139.7$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$
${}^{+}_{-}$ ${}^{6.8}_{8.1}$ $113.7$ ${}^{+}_{-}$ ${}^{0.7}_{0.7}$
${}^{+}_{-}$ ${}^{6.1}_{5.9}$ $92.2$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$
${}^{+}_{-}$ ${}^{5.2}_{5.1}$ $59.2$ ${}^{+}_{-}$ ${}^{1.1}_{1.1}$
${}^{+}_{-}$ ${}^{3.5}_{3.4}$ $[3,4]$ $66.7$ ${}^{+}_{-}$ ${}^{0.7}_{0.7}$
${}^{+}_{-}$ ${}^{3.9}_{3.7}$ $60.8$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{3.1}_{3.3}$ $49.0$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{2.6}_{2.5}$ $37.9$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{2.2}_{2.1}$ $21.6$ ${}^{+}_{-}$ ${}^{0.6}_{0.6}$
${}^{+}_{-}$ ${}^{1.8}_{1.6}$ $[4,5]$ $30.4$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{1.6}_{1.8}$ $26.0$ ${}^{+}_{-}$ ${}^{0.2}_{0.2}$
${}^{+}_{-}$ ${}^{1.4}_{1.4}$ $20.5$ ${}^{+}_{-}$ ${}^{0.2}_{0.2}$
${}^{+}_{-}$ ${}^{1.2}_{1.0}$ $14.96$ ${}^{+}_{-}$ ${}^{0.23}_{0.23}$
${}^{+}_{-}$ ${}^{0.85}_{0.77}$ $8.6$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{1.5}_{1.1}$ $[5,6]$ $13.83$ ${}^{+}_{-}$ ${}^{0.23}_{0.23}$
${}^{+}_{-}$ ${}^{0.74}_{0.79}$ $11.84$ ${}^{+}_{-}$ ${}^{0.15}_{0.15}$
${}^{+}_{-}$ ${}^{0.61}_{0.67}$ $9.34$ ${}^{+}_{-}$ ${}^{0.14}_{0.14}$
${}^{+}_{-}$ ${}^{0.58}_{0.47}$ $6.62$ ${}^{+}_{-}$ ${}^{0.16}_{0.16}$
${}^{+}_{-}$ ${}^{0.46}_{0.39}$ $1.95$ ${}^{+}_{-}$ ${}^{0.28}_{0.28}$
${}^{+}_{-}$ ${}^{0.67}_{0.41}$ $[6,7]$ $7.25$ ${}^{+}_{-}$ ${}^{0.15}_{0.15}$
${}^{+}_{-}$ ${}^{0.40}_{0.42}$ $5.83$ ${}^{+}_{-}$ ${}^{0.11}_{0.11}$
${}^{+}_{-}$ ${}^{0.32}_{0.34}$ $4.41$ ${}^{+}_{-}$ ${}^{0.09}_{0.09}$
${}^{+}_{-}$ ${}^{0.27}_{0.22}$ $2.65$ ${}^{+}_{-}$ ${}^{0.10}_{0.10}$
${}^{+}_{-}$ ${}^{0.28}_{0.22}$ $[7,8]$ $3.80$ ${}^{+}_{-}$ ${}^{0.10}_{0.10}$
${}^{+}_{-}$ ${}^{0.22}_{0.23}$ $3.23$ ${}^{+}_{-}$ ${}^{0.08}_{0.08}$
${}^{+}_{-}$ ${}^{0.21}_{0.18}$ $2.29$ ${}^{+}_{-}$ ${}^{0.07}_{0.07}$
${}^{+}_{-}$ ${}^{0.16}_{0.13}$ $1.26$ ${}^{+}_{-}$ ${}^{0.09}_{0.09}$
${}^{+}_{-}$ ${}^{0.25}_{0.18}$ $[8,9]$ $2.23$ ${}^{+}_{-}$ ${}^{0.08}_{0.08}$
${}^{+}_{-}$ ${}^{0.15}_{0.15}$ $1.71$ ${}^{+}_{-}$ ${}^{0.06}_{0.06}$
${}^{+}_{-}$ ${}^{0.12}_{0.11}$ $1.27$ ${}^{+}_{-}$ ${}^{0.05}_{0.05}$
${}^{+}_{-}$ ${}^{0.12}_{0.10}$ $0.46$ ${}^{+}_{-}$ ${}^{0.06}_{0.06}$
${}^{+}_{-}$ ${}^{0.11}_{0.08}$ $[9,10]$ $1.43$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.10}_{0.11}$ $0.978$ ${}^{+}_{-}$
${}^{0.041}_{0.041}$ ${}^{+}_{-}$ ${}^{0.076}_{0.066}$ $0.556$ ${}^{+}_{-}$
${}^{0.035}_{0.035}$ ${}^{+}_{-}$ ${}^{0.077}_{0.060}$ Differential production
cross-sections, $\text{d}^{2}\sigma/(\text{d}p_{\mathrm{T}}\,\text{d}y)$, in
$$\mathrm{\SIUnitSymbolMicro
b}$/($\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$)$ for prompt
${{D}^{0}}+{{\kern 1.99997pt\overline{\kern-1.99997ptD}{}}{}^{0}}$ mesons in
bins of $(p_{\mathrm{T}},y)$. The first uncertainty is statistical, and the
second is the total systematic.table:differential:D0

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[0,1]$ $74$ ${}^{+}_{-}$ ${}^{7}_{7}$
${}^{+}_{-}$ ${}^{10}_{11}$ $58.2$ ${}^{+}_{-}$ ${}^{3.5}_{3.5}$ ${}^{+}_{-}$
${}^{7.0}_{6.0}$ $58.6$ ${}^{+}_{-}$ ${}^{4.1}_{4.1}$ ${}^{+}_{-}$
${}^{6.9}_{6.1}$ $[1,2]$ $91$ ${}^{+}_{-}$ ${}^{3}_{3}$ ${}^{+}_{-}$
${}^{14}_{12}$ $94.3$ ${}^{+}_{-}$ ${}^{1.0}_{1.0}$ ${}^{+}_{-}$
${}^{7.4}_{8.4}$ $89.6$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$ ${}^{+}_{-}$
${}^{8.0}_{6.5}$ $70.1$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$ ${}^{+}_{-}$
${}^{5.6}_{4.7}$ $54.2$ ${}^{+}_{-}$ ${}^{1.3}_{1.3}$ ${}^{+}_{-}$
${}^{4.9}_{4.5}$ $[2,3]$ $57.4$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$ ${}^{+}_{-}$
${}^{6.2}_{5.7}$ $55.8$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$ ${}^{+}_{-}$
${}^{3.7}_{4.7}$ $47.7$ ${}^{+}_{-}$ ${}^{0.3}_{0.3}$ ${}^{+}_{-}$
${}^{3.7}_{3.1}$ $37.6$ ${}^{+}_{-}$ ${}^{0.3}_{0.3}$ ${}^{+}_{-}$
${}^{2.9}_{2.4}$ $25.0$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$ ${}^{+}_{-}$
${}^{1.9}_{1.9}$ $[3,4]$ $28.0$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$ ${}^{+}_{-}$
${}^{2.4}_{2.5}$ $25.6$ ${}^{+}_{-}$ ${}^{0.2}_{0.2}$ ${}^{+}_{-}$
${}^{1.5}_{2.1}$ $21.0$ ${}^{+}_{-}$ ${}^{0.1}_{0.1}$ ${}^{+}_{-}$
${}^{1.4}_{1.4}$ $16.0$ ${}^{+}_{-}$ ${}^{0.1}_{0.1}$ ${}^{+}_{-}$
${}^{1.1}_{1.1}$ $10.26$ ${}^{+}_{-}$ ${}^{0.19}_{0.19}$ ${}^{+}_{-}$
${}^{0.82}_{0.77}$ $[4,5]$ $13.7$ ${}^{+}_{-}$ ${}^{0.2}_{0.2}$ ${}^{+}_{-}$
${}^{1.0}_{1.2}$ $11.39$ ${}^{+}_{-}$ ${}^{0.10}_{0.10}$ ${}^{+}_{-}$
${}^{0.71}_{0.84}$ $9.15$ ${}^{+}_{-}$ ${}^{0.09}_{0.09}$ ${}^{+}_{-}$
${}^{0.62}_{0.61}$ $6.52$ ${}^{+}_{-}$ ${}^{0.08}_{0.08}$ ${}^{+}_{-}$
${}^{0.44}_{0.43}$ $3.86$ ${}^{+}_{-}$ ${}^{0.11}_{0.11}$ ${}^{+}_{-}$
${}^{0.30}_{0.26}$ $[5,6]$ $6.30$ ${}^{+}_{-}$ ${}^{0.11}_{0.11}$ ${}^{+}_{-}$
${}^{0.45}_{0.49}$ $5.41$ ${}^{+}_{-}$ ${}^{0.06}_{0.06}$ ${}^{+}_{-}$
${}^{0.34}_{0.39}$ $4.13$ ${}^{+}_{-}$ ${}^{0.05}_{0.05}$ ${}^{+}_{-}$
${}^{0.28}_{0.27}$ $2.90$ ${}^{+}_{-}$ ${}^{0.05}_{0.05}$ ${}^{+}_{-}$
${}^{0.20}_{0.20}$ $1.52$ ${}^{+}_{-}$ ${}^{0.08}_{0.08}$ ${}^{+}_{-}$
${}^{0.15}_{0.13}$ $[6,7]$ $3.29$ ${}^{+}_{-}$ ${}^{0.07}_{0.07}$ ${}^{+}_{-}$
${}^{0.23}_{0.25}$ $2.64$ ${}^{+}_{-}$ ${}^{0.04}_{0.04}$ ${}^{+}_{-}$
${}^{0.17}_{0.19}$ $2.10$ ${}^{+}_{-}$ ${}^{0.04}_{0.04}$ ${}^{+}_{-}$
${}^{0.15}_{0.14}$ $1.249$ ${}^{+}_{-}$ ${}^{0.034}_{0.034}$ ${}^{+}_{-}$
${}^{0.095}_{0.086}$ $0.709$ ${}^{+}_{-}$ ${}^{0.068}_{0.068}$ ${}^{+}_{-}$
${}^{0.082}_{0.073}$ $[7,8]$ $1.83$ ${}^{+}_{-}$ ${}^{0.05}_{0.05}$
${}^{+}_{-}$ ${}^{0.13}_{0.15}$ $1.366$ ${}^{+}_{-}$ ${}^{0.028}_{0.028}$
${}^{+}_{-}$ ${}^{0.089}_{0.100}$ $1.037$ ${}^{+}_{-}$ ${}^{0.025}_{0.025}$
${}^{+}_{-}$ ${}^{0.073}_{0.072}$ $0.693$ ${}^{+}_{-}$ ${}^{0.027}_{0.027}$
${}^{+}_{-}$ ${}^{0.063}_{0.052}$ $[8,9]$ $1.025$ ${}^{+}_{-}$
${}^{0.033}_{0.033}$ ${}^{+}_{-}$ ${}^{0.072}_{0.081}$ $0.775$ ${}^{+}_{-}$
${}^{0.021}_{0.021}$ ${}^{+}_{-}$ ${}^{0.052}_{0.059}$ $0.554$ ${}^{+}_{-}$
${}^{0.019}_{0.019}$ ${}^{+}_{-}$ ${}^{0.044}_{0.039}$ $0.393$ ${}^{+}_{-}$
${}^{0.024}_{0.024}$ ${}^{+}_{-}$ ${}^{0.050}_{0.039}$ $[9,10]$ $0.555$
${}^{+}_{-}$ ${}^{0.023}_{0.023}$ ${}^{+}_{-}$ ${}^{0.043}_{0.046}$ $0.423$
${}^{+}_{-}$ ${}^{0.015}_{0.015}$ ${}^{+}_{-}$ ${}^{0.030}_{0.033}$ $0.295$
${}^{+}_{-}$ ${}^{0.013}_{0.013}$ ${}^{+}_{-}$ ${}^{0.029}_{0.023}$ $0.162$
${}^{+}_{-}$ ${}^{0.016}_{0.016}$ ${}^{+}_{-}$ ${}^{0.028}_{0.021}$
Differential production cross-sections,
$\text{d}^{2}\sigma/(\text{d}p_{\mathrm{T}}\,\text{d}y)$, in
$$\mathrm{\SIUnitSymbolMicro
b}$/($\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$)$ for prompt
${{D}^{+}}+{{D}^{-}}$ mesons in bins of $(p_{\mathrm{T}},y)$. The first
uncertainty is statistical, and the second is the total
systematic.table:differential:Dp

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $29.8$ ${}^{+}_{-}$
${}^{4.6}_{4.6}$ ${}^{+}_{-}$ ${}^{7.5}_{5.3}$ $41.6$ ${}^{+}_{-}$
${}^{2.5}_{2.5}$ ${}^{+}_{-}$ ${}^{4.4}_{4.6}$ $36.0$ ${}^{+}_{-}$
${}^{2.3}_{2.2}$ ${}^{+}_{-}$ ${}^{4.2}_{3.6}$ $25.3$ ${}^{+}_{-}$
${}^{2.3}_{2.3}$ ${}^{+}_{-}$ ${}^{3.0}_{2.5}$ $[2,3]$ $27.3$ ${}^{+}_{-}$
${}^{1.5}_{1.5}$ ${}^{+}_{-}$ ${}^{5.1}_{4.0}$ $27.4$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{2.4}_{2.7}$ $22.4$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{2.2}_{1.9}$ $14.6$ ${}^{+}_{-}$
${}^{0.6}_{0.6}$ ${}^{+}_{-}$ ${}^{1.5}_{1.2}$ $9.3$ ${}^{+}_{-}$
${}^{1.0}_{1.0}$ ${}^{+}_{-}$ ${}^{1.5}_{1.2}$ $[3,4]$ $12.5$ ${}^{+}_{-}$
${}^{0.6}_{0.6}$ ${}^{+}_{-}$ ${}^{1.7}_{1.4}$ $12.4$ ${}^{+}_{-}$
${}^{0.4}_{0.4}$ ${}^{+}_{-}$ ${}^{1.0}_{1.1}$ $9.42$ ${}^{+}_{-}$
${}^{0.30}_{0.30}$ ${}^{+}_{-}$ ${}^{0.91}_{0.75}$ $7.57$ ${}^{+}_{-}$
${}^{0.32}_{0.32}$ ${}^{+}_{-}$ ${}^{0.72}_{0.61}$ $4.49$ ${}^{+}_{-}$
${}^{0.42}_{0.42}$ ${}^{+}_{-}$ ${}^{0.52}_{0.42}$ $[4,5]$ $5.96$ ${}^{+}_{-}$
${}^{0.30}_{0.30}$ ${}^{+}_{-}$ ${}^{0.59}_{0.63}$ $5.71$ ${}^{+}_{-}$
${}^{0.20}_{0.20}$ ${}^{+}_{-}$ ${}^{0.48}_{0.51}$ $4.52$ ${}^{+}_{-}$
${}^{0.18}_{0.18}$ ${}^{+}_{-}$ ${}^{0.43}_{0.37}$ $2.81$ ${}^{+}_{-}$
${}^{0.16}_{0.16}$ ${}^{+}_{-}$ ${}^{0.28}_{0.23}$ $1.94$ ${}^{+}_{-}$
${}^{0.24}_{0.24}$ ${}^{+}_{-}$ ${}^{0.25}_{0.18}$ $[5,6]$ $2.73$ ${}^{+}_{-}$
${}^{0.18}_{0.17}$ ${}^{+}_{-}$ ${}^{0.27}_{0.27}$ $2.18$ ${}^{+}_{-}$
${}^{0.11}_{0.11}$ ${}^{+}_{-}$ ${}^{0.19}_{0.19}$ $2.30$ ${}^{+}_{-}$
${}^{0.11}_{0.11}$ ${}^{+}_{-}$ ${}^{0.23}_{0.19}$ $1.36$ ${}^{+}_{-}$
${}^{0.10}_{0.10}$ ${}^{+}_{-}$ ${}^{0.14}_{0.11}$ $0.78$ ${}^{+}_{-}$
${}^{0.15}_{0.15}$ ${}^{+}_{-}$ ${}^{0.12}_{0.08}$ $[6,7]$ $1.47$ ${}^{+}_{-}$
${}^{0.11}_{0.11}$ ${}^{+}_{-}$ ${}^{0.15}_{0.14}$ $1.31$ ${}^{+}_{-}$
${}^{0.08}_{0.08}$ ${}^{+}_{-}$ ${}^{0.13}_{0.11}$ $0.843$ ${}^{+}_{-}$
${}^{0.062}_{0.062}$ ${}^{+}_{-}$ ${}^{0.089}_{0.070}$ $0.586$ ${}^{+}_{-}$
${}^{0.065}_{0.065}$ ${}^{+}_{-}$ ${}^{0.074}_{0.057}$ $[7,8]$ $0.97$
${}^{+}_{-}$ ${}^{0.09}_{0.09}$ ${}^{+}_{-}$ ${}^{0.10}_{0.10}$ $0.642$
${}^{+}_{-}$ ${}^{0.052}_{0.052}$ ${}^{+}_{-}$ ${}^{0.070}_{0.053}$ $0.461$
${}^{+}_{-}$ ${}^{0.044}_{0.044}$ ${}^{+}_{-}$ ${}^{0.052}_{0.039}$ $0.323$
${}^{+}_{-}$ ${}^{0.046}_{0.046}$ ${}^{+}_{-}$ ${}^{0.057}_{0.039}$ $[8,9]$
$0.379$ ${}^{+}_{-}$ ${}^{0.052}_{0.052}$ ${}^{+}_{-}$ ${}^{0.041}_{0.039}$
$0.311$ ${}^{+}_{-}$ ${}^{0.035}_{0.035}$ ${}^{+}_{-}$ ${}^{0.038}_{0.027}$
$0.256$ ${}^{+}_{-}$ ${}^{0.034}_{0.034}$ ${}^{+}_{-}$ ${}^{0.034}_{0.025}$
$[9,10]$ $0.284$ ${}^{+}_{-}$ ${}^{0.042}_{0.042}$ ${}^{+}_{-}$
${}^{0.035}_{0.034}$ $0.212$ ${}^{+}_{-}$ ${}^{0.028}_{0.028}$ ${}^{+}_{-}$
${}^{0.028}_{0.020}$ $0.147$ ${}^{+}_{-}$ ${}^{0.025}_{0.025}$ ${}^{+}_{-}$
${}^{0.022}_{0.015}$ Differential production cross-sections,
$\text{d}^{2}\sigma/(\text{d}p_{\mathrm{T}}\,\text{d}y)$, in
$$\mathrm{\SIUnitSymbolMicro
b}$/($\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$)$ for prompt
${{D}^{+}_{s}}+{{D}^{-}_{s}}$ mesons in bins of $(p_{\mathrm{T}},y)$. The
first uncertainty is statistical, and the second is the total
systematic.table:differential:Dsp

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $106$ ${}^{+}_{-}$ ${}^{5}_{5}$
${}^{+}_{-}$ ${}^{11}_{\phantom{0}9}$ $88.4$ ${}^{+}_{-}$ ${}^{2.0}_{2.0}$
${}^{+}_{-}$ ${}^{7.1}_{8.3}$ $68.7$ ${}^{+}_{-}$ ${}^{1.9}_{1.9}$
${}^{+}_{-}$ ${}^{5.9}_{6.3}$ $45.0$ ${}^{+}_{-}$ ${}^{2.7}_{2.7}$
${}^{+}_{-}$ ${}^{3.9}_{4.4}$ $[2,3]$ $68.8$ ${}^{+}_{-}$ ${}^{6.8}_{6.8}$
${}^{+}_{-}$ ${}^{8.1}_{8.5}$ $63.0$ ${}^{+}_{-}$ ${}^{1.5}_{1.5}$
${}^{+}_{-}$ ${}^{4.2}_{5.1}$ $50.0$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$
${}^{+}_{-}$ ${}^{3.9}_{4.4}$ $36.1$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$
${}^{+}_{-}$ ${}^{3.0}_{3.3}$ $24.8$ ${}^{+}_{-}$ ${}^{1.2}_{1.2}$
${}^{+}_{-}$ ${}^{2.9}_{2.7}$ $[3,4]$ $34.9$ ${}^{+}_{-}$ ${}^{1.7}_{1.7}$
${}^{+}_{-}$ ${}^{2.8}_{3.0}$ $28.6$ ${}^{+}_{-}$ ${}^{0.6}_{0.6}$
${}^{+}_{-}$ ${}^{2.1}_{2.1}$ $23.4$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{2.0}_{1.8}$ $15.8$ ${}^{+}_{-}$ ${}^{0.4}_{0.4}$
${}^{+}_{-}$ ${}^{1.3}_{1.4}$ $9.46$ ${}^{+}_{-}$ ${}^{0.59}_{0.59}$
${}^{+}_{-}$ ${}^{0.72}_{0.79}$ $[4,5]$ $15.5$ ${}^{+}_{-}$ ${}^{0.7}_{0.7}$
${}^{+}_{-}$ ${}^{1.2}_{1.3}$ $12.76$ ${}^{+}_{-}$ ${}^{0.29}_{0.29}$
${}^{+}_{-}$ ${}^{0.86}_{0.98}$ $10.17$ ${}^{+}_{-}$ ${}^{0.23}_{0.23}$
${}^{+}_{-}$ ${}^{0.92}_{0.71}$ $7.53$ ${}^{+}_{-}$ ${}^{0.24}_{0.24}$
${}^{+}_{-}$ ${}^{0.71}_{0.70}$ $3.61$ ${}^{+}_{-}$ ${}^{0.40}_{0.40}$
${}^{+}_{-}$ ${}^{0.82}_{0.55}$ $[5,6]$ $7.30$ ${}^{+}_{-}$ ${}^{0.35}_{0.35}$
${}^{+}_{-}$ ${}^{0.55}_{0.60}$ $5.63$ ${}^{+}_{-}$ ${}^{0.16}_{0.16}$
${}^{+}_{-}$ ${}^{0.38}_{0.43}$ $4.40$ ${}^{+}_{-}$ ${}^{0.14}_{0.14}$
${}^{+}_{-}$ ${}^{0.38}_{0.32}$ $3.07$ ${}^{+}_{-}$ ${}^{0.15}_{0.15}$
${}^{+}_{-}$ ${}^{0.28}_{0.22}$ $1.93$ ${}^{+}_{-}$ ${}^{0.06}_{0.06}$
${}^{+}_{-}$ ${}^{0.31}_{0.25}$ $[6,7]$ $4.09$ ${}^{+}_{-}$ ${}^{0.22}_{0.22}$
${}^{+}_{-}$ ${}^{0.30}_{0.34}$ $2.87$ ${}^{+}_{-}$ ${}^{0.11}_{0.11}$
${}^{+}_{-}$ ${}^{0.20}_{0.22}$ $2.14$ ${}^{+}_{-}$ ${}^{0.09}_{0.09}$
${}^{+}_{-}$ ${}^{0.18}_{0.16}$ $1.43$ ${}^{+}_{-}$ ${}^{0.10}_{0.10}$
${}^{+}_{-}$ ${}^{0.12}_{0.12}$ $[7,8]$ $1.86$ ${}^{+}_{-}$ ${}^{0.13}_{0.13}$
${}^{+}_{-}$ ${}^{0.14}_{0.16}$ $1.57$ ${}^{+}_{-}$ ${}^{0.08}_{0.08}$
${}^{+}_{-}$ ${}^{0.11}_{0.12}$ $1.15$ ${}^{+}_{-}$ ${}^{0.06}_{0.06}$
${}^{+}_{-}$ ${}^{0.10}_{0.09}$ $0.690$ ${}^{+}_{-}$ ${}^{0.081}_{0.081}$
${}^{+}_{-}$ ${}^{0.081}_{0.071}$ $[8,9]$ $0.984$ ${}^{+}_{-}$
${}^{0.085}_{0.085}$ ${}^{+}_{-}$ ${}^{0.079}_{0.090}$ $0.866$ ${}^{+}_{-}$
${}^{0.054}_{0.054}$ ${}^{+}_{-}$ ${}^{0.063}_{0.069}$ $0.622$ ${}^{+}_{-}$
${}^{0.047}_{0.047}$ ${}^{+}_{-}$ ${}^{0.060}_{0.046}$ $0.40$ ${}^{+}_{-}$
${}^{0.07}_{0.07}$ ${}^{+}_{-}$ ${}^{0.11}_{0.07}$ $[9,10]$ $0.758$
${}^{+}_{-}$ ${}^{0.073}_{0.073}$ ${}^{+}_{-}$ ${}^{0.067}_{0.075}$ $0.488$
${}^{+}_{-}$ ${}^{0.040}_{0.040}$ ${}^{+}_{-}$ ${}^{0.039}_{0.042}$ $0.470$
${}^{+}_{-}$ ${}^{0.044}_{0.044}$ ${}^{+}_{-}$ ${}^{0.064}_{0.050}$
Differential production cross-sections,
$\text{d}^{2}\sigma/(\text{d}p_{\mathrm{T}}\,\text{d}y)$, in
$$\mathrm{\SIUnitSymbolMicro
b}$/($\mathrm{\giga\kern-1.99997pt\per\kern-1.49994pt}$)$ for prompt
${{D}^{*+}}+{{D}^{*-}}$ mesons in bins of $(p_{\mathrm{T}},y)$. The first
uncertainty is statistical, and the second is the total
systematic.table:differential:Dstp

##  Appendix B Cross-section ratios at different energies

Tables LABEL:table:differential_ratio:D0–LABEL:table:differential_ratio:Dstp
give the numerical results of the cross-section ratios between $\sqrt{s}=13$
and $5\text{\,}\mathrm{Te\kern-0.50003ptV}$.

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[0,1]$ $1.49$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.23}_{0.20}$ $1.61$ ${}^{+}_{-}$
${}^{0.01}_{0.01}$ ${}^{+}_{-}$ ${}^{0.13}_{0.15}$ $1.72$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.13}_{0.10}$ $1.88$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.12}_{0.11}$ $2.12$ ${}^{+}_{-}$
${}^{0.06}_{0.05}$ ${}^{+}_{-}$ ${}^{0.20}_{0.19}$ $[1,2]$ $1.61$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.20}_{0.18}$ $1.72$ ${}^{+}_{-}$
${}^{0.01}_{0.01}$ ${}^{+}_{-}$ ${}^{0.13}_{0.12}$ $1.88$ ${}^{+}_{-}$
${}^{0.01}_{0.01}$ ${}^{+}_{-}$ ${}^{0.12}_{0.10}$ $2.04$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.12}_{0.11}$ $2.31$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.17}_{0.14}$ $[2,3]$ $1.78$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.15}_{0.17}$ $1.94$ ${}^{+}_{-}$
${}^{0.01}_{0.01}$ ${}^{+}_{-}$ ${}^{0.14}_{0.10}$ $2.20$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.13}_{0.11}$ $2.35$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.15}_{0.12}$ $2.70$ ${}^{+}_{-}$
${}^{0.05}_{0.05}$ ${}^{+}_{-}$ ${}^{0.17}_{0.17}$ $[3,4]$ $2.03$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.14}_{0.16}$ $2.20$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.14}_{0.11}$ $2.35$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.14}_{0.12}$ $2.69$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.19}_{0.16}$ $3.33$ ${}^{+}_{-}$
${}^{0.09}_{0.09}$ ${}^{+}_{-}$ ${}^{0.32}_{0.31}$ $[4,5]$ $2.19$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.17}_{0.13}$ $2.48$ ${}^{+}_{-}$
${}^{0.03}_{0.02}$ ${}^{+}_{-}$ ${}^{0.16}_{0.12}$ $2.65$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.16}_{0.14}$ $3.07$ ${}^{+}_{-}$
${}^{0.05}_{0.05}$ ${}^{+}_{-}$ ${}^{0.17}_{0.19}$ $3.04$ ${}^{+}_{-}$
${}^{0.16}_{0.15}$ ${}^{+}_{-}$ ${}^{0.63}_{0.55}$ $[5,6]$ $2.57$ ${}^{+}_{-}$
${}^{0.05}_{0.04}$ ${}^{+}_{-}$ ${}^{0.21}_{0.15}$ $2.66$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.17}_{0.13}$ $2.90$ ${}^{+}_{-}$
${}^{0.05}_{0.04}$ ${}^{+}_{-}$ ${}^{0.16}_{0.18}$ $3.15$ ${}^{+}_{-}$
${}^{0.08}_{0.08}$ ${}^{+}_{-}$ ${}^{0.22}_{0.21}$ $5.6$ ${}^{+}_{-}$
${}^{1.0}_{0.7}$ ${}^{+}_{-}$ ${}^{2.2}_{1.6}$ $[6,7]$ $2.55$ ${}^{+}_{-}$
${}^{0.06}_{0.05}$ ${}^{+}_{-}$ ${}^{0.19}_{0.16}$ $2.95$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.19}_{0.16}$ $3.27$ ${}^{+}_{-}$
${}^{0.07}_{0.07}$ ${}^{+}_{-}$ ${}^{0.18}_{0.21}$ $3.85$ ${}^{+}_{-}$
${}^{0.16}_{0.15}$ ${}^{+}_{-}$ ${}^{0.44}_{0.44}$ $[7,8]$ $2.67$ ${}^{+}_{-}$
${}^{0.08}_{0.08}$ ${}^{+}_{-}$ ${}^{0.22}_{0.17}$ $3.00$ ${}^{+}_{-}$
${}^{0.08}_{0.07}$ ${}^{+}_{-}$ ${}^{0.20}_{0.18}$ $3.44$ ${}^{+}_{-}$
${}^{0.11}_{0.10}$ ${}^{+}_{-}$ ${}^{0.21}_{0.26}$ $3.93$ ${}^{+}_{-}$
${}^{0.32}_{0.28}$ ${}^{+}_{-}$ ${}^{0.91}_{0.73}$ The ratios of differential
production cross-sections, $R_{13/5}$, for prompt ${{D}^{0}}+{{\kern
1.99997pt\overline{\kern-1.99997ptD}{}}{}^{0}}$ mesons in bins of
$(p_{\mathrm{T}},y)$. The first uncertainty is statistical, and the second is
the total systematic.table:differential_ratio:D0

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[0,1]$ $2.10$ ${}^{+}_{-}$
${}^{0.23}_{0.19}$ ${}^{+}_{-}$ ${}^{0.69}_{0.44}$ $1.83$ ${}^{+}_{-}$
${}^{0.12}_{0.11}$ ${}^{+}_{-}$ ${}^{0.32}_{0.28}$ $1.66$ ${}^{+}_{-}$
${}^{0.13}_{0.12}$ ${}^{+}_{-}$ ${}^{0.28}_{0.25}$ $[1,2]$ $1.80$ ${}^{+}_{-}$
${}^{0.07}_{0.07}$ ${}^{+}_{-}$ ${}^{0.44}_{0.38}$ $1.69$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.31}_{0.20}$ $1.88$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.18}_{0.19}$ $2.08$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.17}_{0.17}$ $2.25$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.24}_{0.22}$ $[2,3]$ $1.72$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.30}_{0.27}$ $1.97$ ${}^{+}_{-}$
${}^{0.01}_{0.01}$ ${}^{+}_{-}$ ${}^{0.25}_{0.18}$ $2.09$ ${}^{+}_{-}$
${}^{0.01}_{0.01}$ ${}^{+}_{-}$ ${}^{0.15}_{0.17}$ $2.25$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.15}_{0.16}$ $2.64$ ${}^{+}_{-}$
${}^{0.05}_{0.04}$ ${}^{+}_{-}$ ${}^{0.22}_{0.19}$ $[3,4]$ $1.87$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.28}_{0.26}$ $2.21$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.22}_{0.17}$ $2.41$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.18}_{0.15}$ $2.60$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.18}_{0.15}$ $2.81$ ${}^{+}_{-}$
${}^{0.06}_{0.05}$ ${}^{+}_{-}$ ${}^{0.21}_{0.21}$ $[4,5]$ $2.12$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.27}_{0.26}$ $2.48$ ${}^{+}_{-}$
${}^{0.02}_{0.02}$ ${}^{+}_{-}$ ${}^{0.22}_{0.17}$ $2.55$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.19}_{0.14}$ $2.96$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.21}_{0.17}$ $3.59$ ${}^{+}_{-}$
${}^{0.11}_{0.10}$ ${}^{+}_{-}$ ${}^{0.23}_{0.29}$ $[5,6]$ $2.40$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.25}_{0.27}$ $2.68$ ${}^{+}_{-}$
${}^{0.03}_{0.03}$ ${}^{+}_{-}$ ${}^{0.22}_{0.17}$ $2.95$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.21}_{0.16}$ $3.25$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.24}_{0.20}$ $4.51$ ${}^{+}_{-}$
${}^{0.24}_{0.22}$ ${}^{+}_{-}$ ${}^{0.47}_{0.48}$ $[6,7]$ $2.54$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.25}_{0.25}$ $2.80$ ${}^{+}_{-}$
${}^{0.05}_{0.05}$ ${}^{+}_{-}$ ${}^{0.22}_{0.17}$ $3.01$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.22}_{0.17}$ $3.92$ ${}^{+}_{-}$
${}^{0.11}_{0.11}$ ${}^{+}_{-}$ ${}^{0.25}_{0.29}$ $4.27$ ${}^{+}_{-}$
${}^{0.48}_{0.39}$ ${}^{+}_{-}$ ${}^{0.61}_{0.50}$ $[7,8]$ $2.72$ ${}^{+}_{-}$
${}^{0.08}_{0.07}$ ${}^{+}_{-}$ ${}^{0.28}_{0.24}$ $3.10$ ${}^{+}_{-}$
${}^{0.07}_{0.07}$ ${}^{+}_{-}$ ${}^{0.25}_{0.19}$ $3.39$ ${}^{+}_{-}$
${}^{0.09}_{0.08}$ ${}^{+}_{-}$ ${}^{0.27}_{0.20}$ $3.70$ ${}^{+}_{-}$
${}^{0.16}_{0.14}$ ${}^{+}_{-}$ ${}^{0.29}_{0.34}$ The ratios of differential
production cross-sections, $R_{13/5}$, for prompt ${{D}^{+}}+{{D}^{-}}$ mesons
in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is statistical, and the
second is the total systematic.table:differential_ratio:Dp

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $1.30$ ${}^{+}_{-}$
${}^{0.28}_{0.21}$ ${}^{+}_{-}$ ${}^{0.54}_{0.37}$ $1.48$ ${}^{+}_{-}$
${}^{0.12}_{0.10}$ ${}^{+}_{-}$ ${}^{0.42}_{0.24}$ $1.83$ ${}^{+}_{-}$
${}^{0.14}_{0.12}$ ${}^{+}_{-}$ ${}^{0.26}_{0.24}$ $2.30$ ${}^{+}_{-}$
${}^{0.26}_{0.22}$ ${}^{+}_{-}$ ${}^{0.41}_{0.31}$ $[2,3]$ $1.58$ ${}^{+}_{-}$
${}^{0.10}_{0.09}$ ${}^{+}_{-}$ ${}^{0.41}_{0.32}$ $1.76$ ${}^{+}_{-}$
${}^{0.05}_{0.05}$ ${}^{+}_{-}$ ${}^{0.24}_{0.17}$ $2.10$ ${}^{+}_{-}$
${}^{0.07}_{0.06}$ ${}^{+}_{-}$ ${}^{0.19}_{0.17}$ $2.77$ ${}^{+}_{-}$
${}^{0.13}_{0.13}$ ${}^{+}_{-}$ ${}^{0.22}_{0.22}$ $2.71$ ${}^{+}_{-}$
${}^{0.36}_{0.28}$ ${}^{+}_{-}$ ${}^{0.45}_{0.38}$ $[3,4]$ $1.94$ ${}^{+}_{-}$
${}^{0.10}_{0.09}$ ${}^{+}_{-}$ ${}^{0.35}_{0.30}$ $2.06$ ${}^{+}_{-}$
${}^{0.06}_{0.06}$ ${}^{+}_{-}$ ${}^{0.21}_{0.19}$ $2.44$ ${}^{+}_{-}$
${}^{0.08}_{0.08}$ ${}^{+}_{-}$ ${}^{0.20}_{0.16}$ $2.58$ ${}^{+}_{-}$
${}^{0.12}_{0.11}$ ${}^{+}_{-}$ ${}^{0.20}_{0.18}$ $2.75$ ${}^{+}_{-}$
${}^{0.30}_{0.25}$ ${}^{+}_{-}$ ${}^{0.32}_{0.27}$ $[4,5]$ $2.09$ ${}^{+}_{-}$
${}^{0.12}_{0.11}$ ${}^{+}_{-}$ ${}^{0.33}_{0.26}$ $2.35$ ${}^{+}_{-}$
${}^{0.09}_{0.08}$ ${}^{+}_{-}$ ${}^{0.23}_{0.17}$ $2.38$ ${}^{+}_{-}$
${}^{0.10}_{0.09}$ ${}^{+}_{-}$ ${}^{0.18}_{0.15}$ $3.42$ ${}^{+}_{-}$
${}^{0.21}_{0.19}$ ${}^{+}_{-}$ ${}^{0.25}_{0.26}$ $3.28$ ${}^{+}_{-}$
${}^{0.48}_{0.38}$ ${}^{+}_{-}$ ${}^{0.41}_{0.33}$ $[5,6]$ $2.82$ ${}^{+}_{-}$
${}^{0.20}_{0.18}$ ${}^{+}_{-}$ ${}^{0.35}_{0.33}$ $3.26$ ${}^{+}_{-}$
${}^{0.18}_{0.16}$ ${}^{+}_{-}$ ${}^{0.33}_{0.20}$ $2.56$ ${}^{+}_{-}$
${}^{0.14}_{0.13}$ ${}^{+}_{-}$ ${}^{0.20}_{0.18}$ $3.39$ ${}^{+}_{-}$
${}^{0.29}_{0.25}$ ${}^{+}_{-}$ ${}^{0.38}_{0.26}$ $4.0$ ${}^{+}_{-}$
${}^{1.0}_{0.7}$ ${}^{+}_{-}$ ${}^{0.7}_{0.6}$ $[6,7]$ $2.60$ ${}^{+}_{-}$
${}^{0.23}_{0.19}$ ${}^{+}_{-}$ ${}^{0.32}_{0.28}$ $2.94$ ${}^{+}_{-}$
${}^{0.20}_{0.18}$ ${}^{+}_{-}$ ${}^{0.28}_{0.22}$ $3.59$ ${}^{+}_{-}$
${}^{0.30}_{0.26}$ ${}^{+}_{-}$ ${}^{0.29}_{0.28}$ $3.58$ ${}^{+}_{-}$
${}^{0.47}_{0.37}$ ${}^{+}_{-}$ ${}^{0.49}_{0.34}$ $[7,8]$ $2.50$ ${}^{+}_{-}$
${}^{0.27}_{0.22}$ ${}^{+}_{-}$ ${}^{0.37}_{0.22}$ $2.79$ ${}^{+}_{-}$
${}^{0.26}_{0.22}$ ${}^{+}_{-}$ ${}^{0.24}_{0.25}$ $3.47$ ${}^{+}_{-}$
${}^{0.38}_{0.32}$ ${}^{+}_{-}$ ${}^{0.37}_{0.29}$ $4.12$ ${}^{+}_{-}$
${}^{0.72}_{0.55}$ ${}^{+}_{-}$ ${}^{0.76}_{0.56}$ The ratios of differential
production cross-sections, $R_{13/5}$, for prompt
${{D}^{+}_{s}}+{{D}^{-}_{s}}$ mesons in bins of $(p_{\mathrm{T}},y)$. The
first uncertainty is statistical, and the second is the total
systematic.table:differential_ratio:Dsp

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $1.33$ ${}^{+}_{-}$
${}^{0.07}_{0.06}$ ${}^{+}_{-}$ ${}^{0.15}_{0.15}$ $1.70$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.19}_{0.17}$ $1.81$ ${}^{+}_{-}$
${}^{0.06}_{0.05}$ ${}^{+}_{-}$ ${}^{0.21}_{0.17}$ $2.52$ ${}^{+}_{-}$
${}^{0.17}_{0.15}$ ${}^{+}_{-}$ ${}^{0.40}_{0.25}$ $[2,3]$ $1.51$ ${}^{+}_{-}$
${}^{0.18}_{0.16}$ ${}^{+}_{-}$ ${}^{0.32}_{0.30}$ $1.70$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.20}_{0.14}$ $2.01$ ${}^{+}_{-}$
${}^{0.04}_{0.03}$ ${}^{+}_{-}$ ${}^{0.21}_{0.18}$ $2.29$ ${}^{+}_{-}$
${}^{0.06}_{0.05}$ ${}^{+}_{-}$ ${}^{0.27}_{0.19}$ $2.47$ ${}^{+}_{-}$
${}^{0.13}_{0.12}$ ${}^{+}_{-}$ ${}^{0.33}_{0.29}$ $[3,4]$ $1.60$ ${}^{+}_{-}$
${}^{0.09}_{0.08}$ ${}^{+}_{-}$ ${}^{0.20}_{0.21}$ $1.99$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.18}_{0.19}$ $2.08$ ${}^{+}_{-}$
${}^{0.04}_{0.04}$ ${}^{+}_{-}$ ${}^{0.21}_{0.17}$ $2.49$ ${}^{+}_{-}$
${}^{0.07}_{0.07}$ ${}^{+}_{-}$ ${}^{0.28}_{0.21}$ $3.00$ ${}^{+}_{-}$
${}^{0.20}_{0.18}$ ${}^{+}_{-}$ ${}^{0.35}_{0.26}$ $[4,5]$ $1.82$ ${}^{+}_{-}$
${}^{0.09}_{0.08}$ ${}^{+}_{-}$ ${}^{0.21}_{0.21}$ $2.18$ ${}^{+}_{-}$
${}^{0.05}_{0.05}$ ${}^{+}_{-}$ ${}^{0.20}_{0.20}$ $2.25$ ${}^{+}_{-}$
${}^{0.05}_{0.05}$ ${}^{+}_{-}$ ${}^{0.20}_{0.18}$ $2.54$ ${}^{+}_{-}$
${}^{0.09}_{0.08}$ ${}^{+}_{-}$ ${}^{0.30}_{0.24}$ $3.24$ ${}^{+}_{-}$
${}^{0.42}_{0.33}$ ${}^{+}_{-}$ ${}^{0.77}_{0.62}$ $[5,6]$ $1.96$ ${}^{+}_{-}$
${}^{0.10}_{0.09}$ ${}^{+}_{-}$ ${}^{0.21}_{0.22}$ $2.43$ ${}^{+}_{-}$
${}^{0.08}_{0.07}$ ${}^{+}_{-}$ ${}^{0.22}_{0.22}$ $2.72$ ${}^{+}_{-}$
${}^{0.09}_{0.09}$ ${}^{+}_{-}$ ${}^{0.25}_{0.22}$ $3.22$ ${}^{+}_{-}$
${}^{0.17}_{0.15}$ ${}^{+}_{-}$ ${}^{0.33}_{0.25}$ $2.61$ ${}^{+}_{-}$
${}^{0.16}_{0.16}$ ${}^{+}_{-}$ ${}^{0.65}_{0.50}$ $[6,7]$ $2.07$ ${}^{+}_{-}$
${}^{0.13}_{0.11}$ ${}^{+}_{-}$ ${}^{0.22}_{0.23}$ $2.72$ ${}^{+}_{-}$
${}^{0.11}_{0.10}$ ${}^{+}_{-}$ ${}^{0.25}_{0.24}$ $2.95$ ${}^{+}_{-}$
${}^{0.13}_{0.12}$ ${}^{+}_{-}$ ${}^{0.26}_{0.25}$ $3.10$ ${}^{+}_{-}$
${}^{0.25}_{0.22}$ ${}^{+}_{-}$ ${}^{0.32}_{0.26}$ $[7,8]$ $2.67$ ${}^{+}_{-}$
${}^{0.20}_{0.18}$ ${}^{+}_{-}$ ${}^{0.30}_{0.29}$ $2.71$ ${}^{+}_{-}$
${}^{0.14}_{0.13}$ ${}^{+}_{-}$ ${}^{0.27}_{0.24}$ $3.23$ ${}^{+}_{-}$
${}^{0.20}_{0.18}$ ${}^{+}_{-}$ ${}^{0.31}_{0.27}$ $3.89$ ${}^{+}_{-}$
${}^{0.53}_{0.42}$ ${}^{+}_{-}$ ${}^{0.61}_{0.47}$ The ratios of differential
production cross-sections, $R_{13/5}$, for prompt ${{D}^{*+}}+{{D}^{*-}}$
mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is statistical,
and the second is the total systematic.table:differential_ratio:Dstp

##  Appendix C Cross-section ratios for different mesons

The numerical values of the cross-section ratios between mesons, described in
Sec. 5, are given in $(p_{\mathrm{T}},y)$ bins in Tables
LABEL:table:meson_ratio:DpD0–LABEL:table:meson_ratio:DsDst.

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[0,1]$ $101$ ${}^{+}_{-}$ ${}^{9}_{9}$
${}^{+}_{-}$ ${}^{12}_{14}$ $83.9$ ${}^{+}_{-}$ ${}^{5.0}_{5.0}$ ${}^{+}_{-}$
${}^{8.4}_{6.6}$ $101.0$ ${}^{+}_{-}$ ${}^{7.2}_{7.1}$ ${}^{+}_{-}$
${}^{9.9}_{8.9}$ $[1,2]$ $84$ ${}^{+}_{-}$ ${}^{3}_{3}$ ${}^{+}_{-}$
${}^{11}_{10}$ $88.2$ ${}^{+}_{-}$ ${}^{1.1}_{1.1}$ ${}^{+}_{-}$
${}^{3.6}_{4.1}$ $94.9$ ${}^{+}_{-}$ ${}^{1.0}_{1.0}$ ${}^{+}_{-}$
${}^{5.4}_{3.2}$ $89.4$ ${}^{+}_{-}$ ${}^{1.2}_{1.2}$ ${}^{+}_{-}$
${}^{4.2}_{3.0}$ $98.1$ ${}^{+}_{-}$ ${}^{2.9}_{2.8}$ ${}^{+}_{-}$
${}^{7.2}_{6.3}$ $[2,3]$ $91.9$ ${}^{+}_{-}$ ${}^{1.7}_{1.6}$ ${}^{+}_{-}$
${}^{7.3}_{6.7}$ $94.0$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$ ${}^{+}_{-}$
${}^{2.8}_{3.7}$ $98.7$ ${}^{+}_{-}$ ${}^{0.9}_{0.9}$ ${}^{+}_{-}$
${}^{3.9}_{2.8}$ $95.9$ ${}^{+}_{-}$ ${}^{1.1}_{1.1}$ ${}^{+}_{-}$
${}^{4.0}_{3.1}$ $99.4$ ${}^{+}_{-}$ ${}^{2.4}_{2.3}$ ${}^{+}_{-}$
${}^{5.2}_{5.1}$ $[3,4]$ $98.8$ ${}^{+}_{-}$ ${}^{1.7}_{1.7}$ ${}^{+}_{-}$
${}^{4.8}_{5.8}$ $99.0$ ${}^{+}_{-}$ ${}^{1.0}_{1.0}$ ${}^{+}_{-}$
${}^{2.0}_{3.9}$ $101.0$ ${}^{+}_{-}$ ${}^{1.1}_{1.1}$ ${}^{+}_{-}$
${}^{2.9}_{3.5}$ $99.0$ ${}^{+}_{-}$ ${}^{1.4}_{1.4}$ ${}^{+}_{-}$
${}^{3.4}_{3.9}$ $111.8$ ${}^{+}_{-}$ ${}^{3.6}_{3.6}$ ${}^{+}_{-}$
${}^{8.1}_{8.1}$ $[4,5]$ $106.2$ ${}^{+}_{-}$ ${}^{2.0}_{2.0}$ ${}^{+}_{-}$
${}^{4.4}_{5.2}$ $103.1$ ${}^{+}_{-}$ ${}^{1.4}_{1.4}$ ${}^{+}_{-}$
${}^{2.5}_{3.7}$ $104.9$ ${}^{+}_{-}$ ${}^{1.5}_{1.5}$ ${}^{+}_{-}$
${}^{3.3}_{3.8}$ $102.6$ ${}^{+}_{-}$ ${}^{2.1}_{2.0}$ ${}^{+}_{-}$
${}^{3.4}_{3.8}$ $106$ ${}^{+}_{-}$ ${}^{6}_{6}$ ${}^{+}_{-}$ ${}^{16}_{15}$
$[5,6]$ $107.2$ ${}^{+}_{-}$ ${}^{2.6}_{2.5}$ ${}^{+}_{-}$ ${}^{4.4}_{4.7}$
$107.5$ ${}^{+}_{-}$ ${}^{1.9}_{1.9}$ ${}^{+}_{-}$ ${}^{3.5}_{3.9}$ $104.1$
${}^{+}_{-}$ ${}^{2.1}_{2.1}$ ${}^{+}_{-}$ ${}^{3.3}_{4.2}$ $103.2$
${}^{+}_{-}$ ${}^{3.1}_{3.0}$ ${}^{+}_{-}$ ${}^{5.1}_{5.7}$ $184$ ${}^{+}_{-}$
${}^{32}_{24}$ ${}^{+}_{-}$ ${}^{58}_{44}$ $[6,7]$ $106.6$ ${}^{+}_{-}$
${}^{3.2}_{3.1}$ ${}^{+}_{-}$ ${}^{4.5}_{5.1}$ $106.7$ ${}^{+}_{-}$
${}^{2.6}_{2.5}$ ${}^{+}_{-}$ ${}^{3.8}_{4.3}$ $111.8$ ${}^{+}_{-}$
${}^{3.1}_{3.0}$ ${}^{+}_{-}$ ${}^{4.3}_{5.0}$ $110.7$ ${}^{+}_{-}$
${}^{5.4}_{5.0}$ ${}^{+}_{-}$ ${}^{9.7}_{9.8}$ $[7,8]$ $113.6$ ${}^{+}_{-}$
${}^{4.4}_{4.2}$ ${}^{+}_{-}$ ${}^{5.5}_{6.4}$ $99.4$ ${}^{+}_{-}$
${}^{3.3}_{3.0}$ ${}^{+}_{-}$ ${}^{3.4}_{5.1}$ $106.4$ ${}^{+}_{-}$
${}^{4.1}_{3.9}$ ${}^{+}_{-}$ ${}^{5.2}_{6.1}$ $130$ ${}^{+}_{-}$
${}^{11}_{10}$ ${}^{+}_{-}$ ${}^{24}_{21}$ $[8,9]$ $108.4$ ${}^{+}_{-}$
${}^{5.4}_{5.1}$ ${}^{+}_{-}$ ${}^{6.4}_{6.9}$ $106.4$ ${}^{+}_{-}$
${}^{4.7}_{4.3}$ ${}^{+}_{-}$ ${}^{4.9}_{6.8}$ $102.7$ ${}^{+}_{-}$
${}^{5.7}_{5.5}$ ${}^{+}_{-}$ ${}^{8.2}_{7.9}$ $202$ ${}^{+}_{-}$
${}^{35}_{28}$ ${}^{+}_{-}$ ${}^{53}_{37}$ $[9,10]$ $91.3$ ${}^{+}_{-}$
${}^{5.6}_{5.4}$ ${}^{+}_{-}$ ${}^{7.0}_{6.6}$ $101.9$ ${}^{+}_{-}$
${}^{5.8}_{5.5}$ ${}^{+}_{-}$ ${}^{6.3}_{7.7}$ $125$ ${}^{+}_{-}$
${}^{10}_{\phantom{0}9}$ ${}^{+}_{-}$ ${}^{17}_{15}$ The ratios of the
measurements of cross-section times branching fraction for prompt ${D}^{+}$
and ${D}^{0}$ mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is
statistical, and the second is the total systematic. All values are given in
percent. table:meson_ratio:DpD0

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $6.8$ ${}^{+}_{-}$
${}^{1.0}_{1.0}$ ${}^{+}_{-}$ ${}^{1.5}_{1.1}$ $9.56$ ${}^{+}_{-}$
${}^{0.57}_{0.58}$ ${}^{+}_{-}$ ${}^{0.54}_{0.60}$ $9.37$ ${}^{+}_{-}$
${}^{0.58}_{0.59}$ ${}^{+}_{-}$ ${}^{0.72}_{0.52}$ $7.91$ ${}^{+}_{-}$
${}^{0.72}_{0.73}$ ${}^{+}_{-}$ ${}^{0.66}_{0.49}$ $[2,3]$ $10.7$ ${}^{+}_{-}$
${}^{0.6}_{0.6}$ ${}^{+}_{-}$ ${}^{1.7}_{1.3}$ $11.31$ ${}^{+}_{-}$
${}^{0.32}_{0.32}$ ${}^{+}_{-}$ ${}^{0.38}_{0.47}$ $11.39$ ${}^{+}_{-}$
${}^{0.34}_{0.35}$ ${}^{+}_{-}$ ${}^{0.52}_{0.40}$ $9.17$ ${}^{+}_{-}$
${}^{0.41}_{0.41}$ ${}^{+}_{-}$ ${}^{0.48}_{0.35}$ $9.1$ ${}^{+}_{-}$
${}^{1.0}_{1.0}$ ${}^{+}_{-}$ ${}^{1.2}_{0.9}$ $[3,4]$ $10.80$ ${}^{+}_{-}$
${}^{0.52}_{0.53}$ ${}^{+}_{-}$ ${}^{0.98}_{0.79}$ $11.76$ ${}^{+}_{-}$
${}^{0.35}_{0.34}$ ${}^{+}_{-}$ ${}^{0.30}_{0.45}$ $11.10$ ${}^{+}_{-}$
${}^{0.36}_{0.36}$ ${}^{+}_{-}$ ${}^{0.43}_{0.33}$ $11.53$ ${}^{+}_{-}$
${}^{0.50}_{0.52}$ ${}^{+}_{-}$ ${}^{0.52}_{0.45}$ $12.0$ ${}^{+}_{-}$
${}^{1.2}_{1.2}$ ${}^{+}_{-}$ ${}^{1.0}_{1.0}$ $[4,5]$ $11.30$ ${}^{+}_{-}$
${}^{0.59}_{0.58}$ ${}^{+}_{-}$ ${}^{0.67}_{0.77}$ $12.67$ ${}^{+}_{-}$
${}^{0.45}_{0.46}$ ${}^{+}_{-}$ ${}^{0.32}_{0.51}$ $12.70$ ${}^{+}_{-}$
${}^{0.52}_{0.52}$ ${}^{+}_{-}$ ${}^{0.49}_{0.45}$ $10.84$ ${}^{+}_{-}$
${}^{0.62}_{0.62}$ ${}^{+}_{-}$ ${}^{0.51}_{0.40}$ $13.0$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{2.3}_{2.0}$ $[5,6]$ $11.41$ ${}^{+}_{-}$
${}^{0.75}_{0.75}$ ${}^{+}_{-}$ ${}^{0.63}_{0.65}$ $10.62$ ${}^{+}_{-}$
${}^{0.55}_{0.53}$ ${}^{+}_{-}$ ${}^{0.39}_{0.41}$ $14.23$ ${}^{+}_{-}$
${}^{0.75}_{0.72}$ ${}^{+}_{-}$ ${}^{0.61}_{0.62}$ $11.88$ ${}^{+}_{-}$
${}^{0.96}_{0.94}$ ${}^{+}_{-}$ ${}^{0.72}_{0.76}$ $23.1$ ${}^{+}_{-}$
${}^{6.3}_{5.2}$ ${}^{+}_{-}$ ${}^{7.6}_{5.7}$ $[6,7]$ $11.75$ ${}^{+}_{-}$
${}^{0.92}_{0.94}$ ${}^{+}_{-}$ ${}^{0.70}_{0.75}$ $12.98$ ${}^{+}_{-}$
${}^{0.86}_{0.82}$ ${}^{+}_{-}$ ${}^{0.71}_{0.54}$ $11.05$ ${}^{+}_{-}$
${}^{0.85}_{0.85}$ ${}^{+}_{-}$ ${}^{0.59}_{0.52}$ $12.8$ ${}^{+}_{-}$
${}^{1.5}_{1.5}$ ${}^{+}_{-}$ ${}^{1.5}_{1.3}$ $[7,8]$ $14.7$ ${}^{+}_{-}$
${}^{1.4}_{1.4}$ ${}^{+}_{-}$ ${}^{0.9}_{1.2}$ $11.47$ ${}^{+}_{-}$
${}^{0.97}_{0.97}$ ${}^{+}_{-}$ ${}^{0.78}_{0.56}$ $11.6$ ${}^{+}_{-}$
${}^{1.2}_{1.2}$ ${}^{+}_{-}$ ${}^{0.8}_{0.8}$ $14.8$ ${}^{+}_{-}$
${}^{2.5}_{2.3}$ ${}^{+}_{-}$ ${}^{3.5}_{2.6}$ $[8,9]$ $9.8$ ${}^{+}_{-}$
${}^{1.4}_{1.4}$ ${}^{+}_{-}$ ${}^{0.8}_{0.7}$ $10.5$ ${}^{+}_{-}$
${}^{1.2}_{1.2}$ ${}^{+}_{-}$ ${}^{0.8}_{0.7}$ $11.6$ ${}^{+}_{-}$
${}^{1.6}_{1.5}$ ${}^{+}_{-}$ ${}^{1.3}_{1.1}$ $[9,10]$ $11.4$ ${}^{+}_{-}$
${}^{1.8}_{1.8}$ ${}^{+}_{-}$ ${}^{1.3}_{1.2}$ $12.5$ ${}^{+}_{-}$
${}^{1.8}_{1.7}$ ${}^{+}_{-}$ ${}^{1.3}_{1.0}$ $15.2$ ${}^{+}_{-}$
${}^{2.9}_{2.7}$ ${}^{+}_{-}$ ${}^{2.7}_{2.1}$ The ratios of the measurements
of cross-section times branching fraction for prompt ${D}^{+}_{s}$ and
${D}^{0}$ mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is
statistical, and the second is the total systematic. All values are given in
percent. table:meson_ratio:DsD0

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $28.6$ ${}^{+}_{-}$
${}^{1.3}_{1.3}$ ${}^{+}_{-}$ ${}^{2.1}_{1.2}$ $26.9$ ${}^{+}_{-}$
${}^{0.6}_{0.6}$ ${}^{+}_{-}$ ${}^{1.5}_{1.7}$ $25.2$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{1.5}_{1.7}$ $23.4$ ${}^{+}_{-}$
${}^{1.4}_{1.4}$ ${}^{+}_{-}$ ${}^{1.6}_{1.9}$ $[2,3]$ $31.7$ ${}^{+}_{-}$
${}^{3.2}_{3.1}$ ${}^{+}_{-}$ ${}^{3.0}_{3.2}$ $30.5$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{1.1}_{1.2}$ $29.8$ ${}^{+}_{-}$
${}^{0.5}_{0.5}$ ${}^{+}_{-}$ ${}^{1.5}_{1.9}$ $26.5$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{1.5}_{1.8}$ $28.3$ ${}^{+}_{-}$
${}^{1.5}_{1.4}$ ${}^{+}_{-}$ ${}^{2.9}_{2.7}$ $[3,4]$ $35.4$ ${}^{+}_{-}$
${}^{1.8}_{1.8}$ ${}^{+}_{-}$ ${}^{1.5}_{2.1}$ $31.9$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{1.3}_{1.1}$ $32.4$ ${}^{+}_{-}$
${}^{0.7}_{0.6}$ ${}^{+}_{-}$ ${}^{1.9}_{1.7}$ $28.2$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{1.6}_{1.9}$ $29.7$ ${}^{+}_{-}$
${}^{2.0}_{2.0}$ ${}^{+}_{-}$ ${}^{2.1}_{2.5}$ $[4,5]$ $34.5$ ${}^{+}_{-}$
${}^{1.6}_{1.6}$ ${}^{+}_{-}$ ${}^{1.6}_{1.7}$ $33.2$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{1.2}_{1.4}$ $33.6$ ${}^{+}_{-}$
${}^{0.9}_{0.8}$ ${}^{+}_{-}$ ${}^{2.0}_{1.6}$ $34.1$ ${}^{+}_{-}$
${}^{1.2}_{1.2}$ ${}^{+}_{-}$ ${}^{2.4}_{2.6}$ $28.4$ ${}^{+}_{-}$
${}^{3.5}_{3.4}$ ${}^{+}_{-}$ ${}^{7.5}_{5.5}$ $[5,6]$ $35.8$ ${}^{+}_{-}$
${}^{1.8}_{1.8}$ ${}^{+}_{-}$ ${}^{1.8}_{1.9}$ $32.2$ ${}^{+}_{-}$
${}^{1.0}_{1.0}$ ${}^{+}_{-}$ ${}^{1.4}_{1.4}$ $31.9$ ${}^{+}_{-}$
${}^{1.1}_{1.1}$ ${}^{+}_{-}$ ${}^{1.8}_{1.7}$ $31.4$ ${}^{+}_{-}$
${}^{1.7}_{1.6}$ ${}^{+}_{-}$ ${}^{2.3}_{2.0}$ $67$ ${}^{+}_{-}$
${}^{11}_{\phantom{0}9}$ ${}^{+}_{-}$ ${}^{23}_{17}$ $[6,7]$ $38.1$
${}^{+}_{-}$ ${}^{2.2}_{2.2}$ ${}^{+}_{-}$ ${}^{2.0}_{2.2}$ $33.4$
${}^{+}_{-}$ ${}^{1.4}_{1.4}$ ${}^{+}_{-}$ ${}^{1.5}_{1.6}$ $32.9$
${}^{+}_{-}$ ${}^{1.6}_{1.6}$ ${}^{+}_{-}$ ${}^{1.8}_{1.8}$ $36.6$
${}^{+}_{-}$ ${}^{3.0}_{3.0}$ ${}^{+}_{-}$ ${}^{3.5}_{3.7}$ $[7,8]$ $33.2$
${}^{+}_{-}$ ${}^{2.4}_{2.4}$ ${}^{+}_{-}$ ${}^{2.0}_{2.2}$ $32.9$
${}^{+}_{-}$ ${}^{1.8}_{1.8}$ ${}^{+}_{-}$ ${}^{1.5}_{2.0}$ $33.9$
${}^{+}_{-}$ ${}^{2.2}_{2.1}$ ${}^{+}_{-}$ ${}^{2.3}_{2.2}$ $37.2$
${}^{+}_{-}$ ${}^{5.2}_{5.0}$ ${}^{+}_{-}$ ${}^{7.1}_{6.3}$ $[8,9]$ $29.9$
${}^{+}_{-}$ ${}^{2.8}_{2.8}$ ${}^{+}_{-}$ ${}^{2.2}_{2.4}$ $34.2$
${}^{+}_{-}$ ${}^{2.5}_{2.3}$ ${}^{+}_{-}$ ${}^{1.9}_{2.4}$ $33.2$
${}^{+}_{-}$ ${}^{3.0}_{2.8}$ ${}^{+}_{-}$ ${}^{3.2}_{2.8}$ $59$ ${}^{+}_{-}$
${}^{14}_{12}$ ${}^{+}_{-}$ ${}^{24}_{13}$ $[9,10]$ $35.8$ ${}^{+}_{-}$
${}^{3.9}_{3.8}$ ${}^{+}_{-}$ ${}^{3.1}_{3.0}$ $33.8$ ${}^{+}_{-}$
${}^{3.1}_{3.0}$ ${}^{+}_{-}$ ${}^{2.3}_{2.9}$ $57.2$ ${}^{+}_{-}$
${}^{6.5}_{6.3}$ ${}^{+}_{-}$ ${}^{9.6}_{8.1}$ The ratios of the measurements
of cross-section times branching fraction for prompt ${D}^{*+}$ and ${D}^{0}$
mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is statistical,
and the second is the total systematic. All values are given in percent.
table:meson_ratio:DstD0

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $8.0$ ${}^{+}_{-}$
${}^{1.3}_{1.2}$ ${}^{+}_{-}$ ${}^{2.1}_{1.5}$ $10.84$ ${}^{+}_{-}$
${}^{0.67}_{0.66}$ ${}^{+}_{-}$ ${}^{0.55}_{0.54}$ $9.87$ ${}^{+}_{-}$
${}^{0.62}_{0.63}$ ${}^{+}_{-}$ ${}^{0.47}_{0.55}$ $8.84$ ${}^{+}_{-}$
${}^{0.82}_{0.82}$ ${}^{+}_{-}$ ${}^{0.60}_{0.58}$ $[2,3]$ $11.7$ ${}^{+}_{-}$
${}^{0.7}_{0.6}$ ${}^{+}_{-}$ ${}^{1.9}_{1.5}$ $12.03$ ${}^{+}_{-}$
${}^{0.33}_{0.34}$ ${}^{+}_{-}$ ${}^{0.34}_{0.28}$ $11.53$ ${}^{+}_{-}$
${}^{0.35}_{0.34}$ ${}^{+}_{-}$ ${}^{0.33}_{0.35}$ $9.56$ ${}^{+}_{-}$
${}^{0.42}_{0.42}$ ${}^{+}_{-}$ ${}^{0.38}_{0.38}$ $9.2$ ${}^{+}_{-}$
${}^{1.0}_{1.0}$ ${}^{+}_{-}$ ${}^{1.3}_{0.9}$ $[3,4]$ $10.9$ ${}^{+}_{-}$
${}^{0.5}_{0.5}$ ${}^{+}_{-}$ ${}^{1.1}_{0.8}$ $11.87$ ${}^{+}_{-}$
${}^{0.35}_{0.34}$ ${}^{+}_{-}$ ${}^{0.36}_{0.17}$ $10.99$ ${}^{+}_{-}$
${}^{0.36}_{0.36}$ ${}^{+}_{-}$ ${}^{0.40}_{0.21}$ $11.63$ ${}^{+}_{-}$
${}^{0.51}_{0.51}$ ${}^{+}_{-}$ ${}^{0.54}_{0.33}$ $10.7$ ${}^{+}_{-}$
${}^{1.0}_{1.0}$ ${}^{+}_{-}$ ${}^{0.9}_{0.8}$ $[4,5]$ $10.64$ ${}^{+}_{-}$
${}^{0.56}_{0.56}$ ${}^{+}_{-}$ ${}^{0.68}_{0.64}$ $12.29$ ${}^{+}_{-}$
${}^{0.45}_{0.44}$ ${}^{+}_{-}$ ${}^{0.34}_{0.33}$ $12.11$ ${}^{+}_{-}$
${}^{0.49}_{0.50}$ ${}^{+}_{-}$ ${}^{0.47}_{0.35}$ $10.57$ ${}^{+}_{-}$
${}^{0.61}_{0.60}$ ${}^{+}_{-}$ ${}^{0.52}_{0.36}$ $12.3$ ${}^{+}_{-}$
${}^{1.6}_{1.6}$ ${}^{+}_{-}$ ${}^{1.1}_{0.9}$ $[5,6]$ $10.64$ ${}^{+}_{-}$
${}^{0.72}_{0.71}$ ${}^{+}_{-}$ ${}^{0.54}_{0.53}$ $9.88$ ${}^{+}_{-}$
${}^{0.51}_{0.50}$ ${}^{+}_{-}$ ${}^{0.38}_{0.28}$ $13.68$ ${}^{+}_{-}$
${}^{0.70}_{0.69}$ ${}^{+}_{-}$ ${}^{0.61}_{0.45}$ $11.52$ ${}^{+}_{-}$
${}^{0.91}_{0.90}$ ${}^{+}_{-}$ ${}^{0.71}_{0.56}$ $12.6$ ${}^{+}_{-}$
${}^{2.6}_{2.6}$ ${}^{+}_{-}$ ${}^{1.7}_{1.3}$ $[6,7]$ $11.01$ ${}^{+}_{-}$
${}^{0.89}_{0.87}$ ${}^{+}_{-}$ ${}^{0.64}_{0.57}$ $12.17$ ${}^{+}_{-}$
${}^{0.79}_{0.77}$ ${}^{+}_{-}$ ${}^{0.64}_{0.37}$ $9.87$ ${}^{+}_{-}$
${}^{0.75}_{0.74}$ ${}^{+}_{-}$ ${}^{0.63}_{0.40}$ $11.5$ ${}^{+}_{-}$
${}^{1.3}_{1.3}$ ${}^{+}_{-}$ ${}^{1.1}_{0.8}$ $[7,8]$ $13.0$ ${}^{+}_{-}$
${}^{1.2}_{1.2}$ ${}^{+}_{-}$ ${}^{0.9}_{0.9}$ $11.53$ ${}^{+}_{-}$
${}^{0.97}_{0.97}$ ${}^{+}_{-}$ ${}^{0.88}_{0.39}$ $10.9$ ${}^{+}_{-}$
${}^{1.1}_{1.1}$ ${}^{+}_{-}$ ${}^{0.8}_{0.5}$ $11.4$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{1.8}_{1.3}$ $[8,9]$ $9.1$ ${}^{+}_{-}$
${}^{1.3}_{1.3}$ ${}^{+}_{-}$ ${}^{0.8}_{0.6}$ $9.9$ ${}^{+}_{-}$
${}^{1.2}_{1.1}$ ${}^{+}_{-}$ ${}^{0.9}_{0.4}$ $11.4$ ${}^{+}_{-}$
${}^{1.5}_{1.5}$ ${}^{+}_{-}$ ${}^{1.1}_{0.9}$ $[9,10]$ $12.5$ ${}^{+}_{-}$
${}^{1.9}_{1.9}$ ${}^{+}_{-}$ ${}^{1.4}_{1.1}$ $12.3$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{1.4}_{0.7}$ $12.2$ ${}^{+}_{-}$
${}^{2.2}_{2.1}$ ${}^{+}_{-}$ ${}^{1.5}_{1.3}$ The ratios of the measurements
of cross-section times branching fraction for prompt ${D}^{+}_{s}$ and
${D}^{+}$ mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is
statistical, and the second is the total systematic. All values are given in
percent. table:meson_ratio:DsDp

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $32.5$ ${}^{+}_{-}$
${}^{1.5}_{1.5}$ ${}^{+}_{-}$ ${}^{2.2}_{0.8}$ $28.4$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{0.5}_{1.6}$ $28.2$ ${}^{+}_{-}$
${}^{0.9}_{0.9}$ ${}^{+}_{-}$ ${}^{0.9}_{1.6}$ $23.9$ ${}^{+}_{-}$
${}^{1.6}_{1.5}$ ${}^{+}_{-}$ ${}^{1.6}_{2.0}$ $[2,3]$ $34.5$ ${}^{+}_{-}$
${}^{3.4}_{3.5}$ ${}^{+}_{-}$ ${}^{3.8}_{3.9}$ $32.4$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{1.1}_{0.9}$ $30.2$ ${}^{+}_{-}$
${}^{0.5}_{0.5}$ ${}^{+}_{-}$ ${}^{0.8}_{1.5}$ $27.6$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{0.9}_{1.5}$ $28.5$ ${}^{+}_{-}$
${}^{1.5}_{1.4}$ ${}^{+}_{-}$ ${}^{2.8}_{2.5}$ $[3,4]$ $35.8$ ${}^{+}_{-}$
${}^{1.8}_{1.8}$ ${}^{+}_{-}$ ${}^{2.2}_{2.2}$ $32.2$ ${}^{+}_{-}$
${}^{0.7}_{0.7}$ ${}^{+}_{-}$ ${}^{1.4}_{0.4}$ $32.1$ ${}^{+}_{-}$
${}^{0.6}_{0.6}$ ${}^{+}_{-}$ ${}^{1.6}_{1.2}$ $28.5$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{1.4}_{1.5}$ $26.5$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{1.4}_{1.7}$ $[4,5]$ $32.5$ ${}^{+}_{-}$
${}^{1.5}_{1.5}$ ${}^{+}_{-}$ ${}^{1.7}_{1.4}$ $32.2$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{1.1}_{0.9}$ $32.0$ ${}^{+}_{-}$
${}^{0.8}_{0.8}$ ${}^{+}_{-}$ ${}^{1.7}_{1.1}$ $33.2$ ${}^{+}_{-}$
${}^{1.1}_{1.1}$ ${}^{+}_{-}$ ${}^{2.2}_{2.2}$ $26.9$ ${}^{+}_{-}$
${}^{3.1}_{3.1}$ ${}^{+}_{-}$ ${}^{5.8}_{4.0}$ $[5,6]$ $33.4$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{1.5}_{1.5}$ $29.9$ ${}^{+}_{-}$
${}^{1.0}_{0.9}$ ${}^{+}_{-}$ ${}^{1.1}_{1.0}$ $30.6$ ${}^{+}_{-}$
${}^{1.1}_{1.1}$ ${}^{+}_{-}$ ${}^{1.6}_{1.2}$ $30.5$ ${}^{+}_{-}$
${}^{1.6}_{1.6}$ ${}^{+}_{-}$ ${}^{1.9}_{1.3}$ $36.6$ ${}^{+}_{-}$
${}^{2.2}_{2.0}$ ${}^{+}_{-}$ ${}^{5.8}_{4.7}$ $[6,7]$ $35.8$ ${}^{+}_{-}$
${}^{2.1}_{2.1}$ ${}^{+}_{-}$ ${}^{1.8}_{1.7}$ $31.3$ ${}^{+}_{-}$
${}^{1.3}_{1.2}$ ${}^{+}_{-}$ ${}^{1.2}_{1.2}$ $29.4$ ${}^{+}_{-}$
${}^{1.4}_{1.4}$ ${}^{+}_{-}$ ${}^{1.6}_{1.3}$ $33.1$ ${}^{+}_{-}$
${}^{2.6}_{2.5}$ ${}^{+}_{-}$ ${}^{2.1}_{2.1}$ $[7,8]$ $29.2$ ${}^{+}_{-}$
${}^{2.1}_{2.1}$ ${}^{+}_{-}$ ${}^{1.8}_{1.6}$ $33.1$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{1.6}_{1.4}$ $31.8$ ${}^{+}_{-}$
${}^{2.0}_{1.9}$ ${}^{+}_{-}$ ${}^{2.0}_{1.5}$ $28.6$ ${}^{+}_{-}$
${}^{3.6}_{3.5}$ ${}^{+}_{-}$ ${}^{3.1}_{3.0}$ $[8,9]$ $27.6$ ${}^{+}_{-}$
${}^{2.5}_{2.5}$ ${}^{+}_{-}$ ${}^{1.9}_{1.8}$ $32.2$ ${}^{+}_{-}$
${}^{2.2}_{2.2}$ ${}^{+}_{-}$ ${}^{1.9}_{1.6}$ $32.3$ ${}^{+}_{-}$
${}^{2.7}_{2.6}$ ${}^{+}_{-}$ ${}^{2.5}_{2.1}$ $29.0$ ${}^{+}_{-}$
${}^{5.4}_{5.3}$ ${}^{+}_{-}$ ${}^{8.8}_{5.6}$ $[9,10]$ $39.3$ ${}^{+}_{-}$
${}^{4.2}_{4.1}$ ${}^{+}_{-}$ ${}^{3.2}_{2.9}$ $33.2$ ${}^{+}_{-}$
${}^{3.0}_{2.9}$ ${}^{+}_{-}$ ${}^{2.4}_{2.2}$ $45.8$ ${}^{+}_{-}$
${}^{4.8}_{4.6}$ ${}^{+}_{-}$ ${}^{5.8}_{5.1}$ The ratios of the measurements
of cross-section times branching fraction for prompt ${D}^{*+}$ and ${D}^{+}$
mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is statistical,
and the second is the total systematic. All values are given in percent.
table:meson_ratio:DstDp

[ nonFloat=true, objectAngle=90, capPos=l, capAngle=90, capWidth=h]table  $y$
$p_{\text{T}}$ [${\mathrm{Ge\kern-1.00006ptV\\!/}c}$] $[2.0,2.5]$ $[2.5,3.0]$
$[3.0,3.5]$ $[3.5,4.0]$ $[4.0,4.5]$ $[1,2]$ $33.4$ ${}^{+}_{-}$
${}^{2.6}_{2.4}$ ${}^{+}_{-}$ ${}^{1.3}_{2.6}$ $34.8$ ${}^{+}_{-}$
${}^{2.3}_{2.3}$ ${}^{+}_{-}$ ${}^{2.7}_{1.2}$ $31.4$ ${}^{+}_{-}$
${}^{3.0}_{3.0}$ ${}^{+}_{-}$ ${}^{3.3}_{1.9}$ $[2,3]$ $33.8$ ${}^{+}_{-}$
${}^{4.2}_{3.5}$ ${}^{+}_{-}$ ${}^{7.2}_{4.6}$ $37.0$ ${}^{+}_{-}$
${}^{1.4}_{1.3}$ ${}^{+}_{-}$ ${}^{1.3}_{1.3}$ $38.2$ ${}^{+}_{-}$
${}^{1.3}_{1.3}$ ${}^{+}_{-}$ ${}^{2.3}_{1.0}$ $34.6$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{2.7}_{1.6}$ $32.1$ ${}^{+}_{-}$
${}^{3.9}_{3.8}$ ${}^{+}_{-}$ ${}^{5.5}_{4.0}$ $[3,4]$ $30.5$ ${}^{+}_{-}$
${}^{2.2}_{2.1}$ ${}^{+}_{-}$ ${}^{3.3}_{2.1}$ $36.9$ ${}^{+}_{-}$
${}^{1.3}_{1.3}$ ${}^{+}_{-}$ ${}^{0.8}_{1.4}$ $34.3$ ${}^{+}_{-}$
${}^{1.3}_{1.2}$ ${}^{+}_{-}$ ${}^{1.7}_{1.6}$ $40.8$ ${}^{+}_{-}$
${}^{2.1}_{2.0}$ ${}^{+}_{-}$ ${}^{3.2}_{2.1}$ $40.4$ ${}^{+}_{-}$
${}^{4.6}_{4.5}$ ${}^{+}_{-}$ ${}^{4.2}_{2.6}$ $[4,5]$ $32.8$ ${}^{+}_{-}$
${}^{2.3}_{2.1}$ ${}^{+}_{-}$ ${}^{2.1}_{2.1}$ $38.2$ ${}^{+}_{-}$
${}^{1.6}_{1.6}$ ${}^{+}_{-}$ ${}^{1.3}_{1.4}$ $37.9$ ${}^{+}_{-}$
${}^{1.7}_{1.7}$ ${}^{+}_{-}$ ${}^{1.8}_{2.2}$ $31.9$ ${}^{+}_{-}$
${}^{2.0}_{2.0}$ ${}^{+}_{-}$ ${}^{2.9}_{2.1}$ $45.7$ ${}^{+}_{-}$
${}^{8.3}_{7.1}$ ${}^{+}_{-}$ ${}^{9.5}_{7.7}$ $[5,6]$ $31.9$ ${}^{+}_{-}$
${}^{2.7}_{2.5}$ ${}^{+}_{-}$ ${}^{1.9}_{1.7}$ $33.0$ ${}^{+}_{-}$
${}^{1.9}_{1.8}$ ${}^{+}_{-}$ ${}^{1.4}_{1.2}$ $44.6$ ${}^{+}_{-}$
${}^{2.7}_{2.5}$ ${}^{+}_{-}$ ${}^{2.6}_{2.4}$ $37.8$ ${}^{+}_{-}$
${}^{3.5}_{3.3}$ ${}^{+}_{-}$ ${}^{2.6}_{2.7}$ $34.3$ ${}^{+}_{-}$
${}^{6.9}_{6.8}$ ${}^{+}_{-}$ ${}^{6.3}_{4.9}$ $[6,7]$ $30.8$ ${}^{+}_{-}$
${}^{3.0}_{2.8}$ ${}^{+}_{-}$ ${}^{2.0}_{1.8}$ $38.9$ ${}^{+}_{-}$
${}^{2.8}_{2.8}$ ${}^{+}_{-}$ ${}^{2.5}_{1.5}$ $33.6$ ${}^{+}_{-}$
${}^{2.9}_{2.8}$ ${}^{+}_{-}$ ${}^{2.4}_{1.9}$ $34.8$ ${}^{+}_{-}$
${}^{4.8}_{4.4}$ ${}^{+}_{-}$ ${}^{3.9}_{2.6}$ $[7,8]$ $44.5$ ${}^{+}_{-}$
${}^{5.2}_{5.0}$ ${}^{+}_{-}$ ${}^{3.5}_{3.0}$ $34.9$ ${}^{+}_{-}$
${}^{3.3}_{3.3}$ ${}^{+}_{-}$ ${}^{3.0}_{1.4}$ $34.3$ ${}^{+}_{-}$
${}^{4.0}_{3.7}$ ${}^{+}_{-}$ ${}^{2.9}_{2.3}$ $40.0$ ${}^{+}_{-}$
${}^{8.1}_{7.1}$ ${}^{+}_{-}$ ${}^{7.6}_{4.8}$ $[8,9]$ $32.9$ ${}^{+}_{-}$
${}^{5.5}_{5.2}$ ${}^{+}_{-}$ ${}^{3.3}_{2.7}$ $30.6$ ${}^{+}_{-}$
${}^{4.1}_{3.9}$ ${}^{+}_{-}$ ${}^{3.1}_{1.5}$ $35.1$ ${}^{+}_{-}$
${}^{5.4}_{5.2}$ ${}^{+}_{-}$ ${}^{3.8}_{3.0}$ $[9,10]$ $31.9$ ${}^{+}_{-}$
${}^{6.0}_{5.4}$ ${}^{+}_{-}$ ${}^{4.3}_{3.3}$ $37.0$ ${}^{+}_{-}$
${}^{6.0}_{5.5}$ ${}^{+}_{-}$ ${}^{4.8}_{2.6}$ $26.6$ ${}^{+}_{-}$
${}^{5.5}_{4.9}$ ${}^{+}_{-}$ ${}^{4.3}_{3.2}$ The ratios of the measurements
of cross-section times branching fraction for prompt ${D}^{+}_{s}$ and
${D}^{*+}$ mesons in bins of $(p_{\mathrm{T}},y)$. The first uncertainty is
statistical, and the second is the total systematic. All values are given in
percent. table:meson_ratio:DsDst

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LHCb collaboration

R. Aaij40, B. Adeva39, M. Adinolfi48, Z. Ajaltouni5, S. Akar6, J. Albrecht10,
F. Alessio40, M. Alexander53, S. Ali43, G. Alkhazov31, P. Alvarez Cartelle55,
A.A. Alves Jr59, S. Amato2, S. Amerio23, Y. Amhis7, L. An41, L. Anderlini18,
G. Andreassi41, M. Andreotti17,g, J.E. Andrews60, R.B. Appleby56, F.
Archilli43, P. d’Argent12, J. Arnau Romeu6, A. Artamonov37, M. Artuso61, E.
Aslanides6, G. Auriemma26, M. Baalouch5, I. Babuschkin56, S. Bachmann12, J.J.
Back50, A. Badalov38, C. Baesso62, S. Baker55, W. Baldini17, R.J. Barlow56, C.
Barschel40, S. Barsuk7, W. Barter40, M. Baszczyk27, V. Batozskaya29, B.
Batsukh61, V. Battista41, A. Bay41, L. Beaucourt4, J. Beddow53, F. Bedeschi24,
I. Bediaga1, L.J. Bel43, V. Bellee41, N. Belloli21,i, K. Belous37, I.
Belyaev32, E. Ben-Haim8, G. Bencivenni19, S. Benson43, J. Benton48, A.
Berezhnoy33, R. Bernet42, A. Bertolin23, C. Betancourt42, F. Betti15, M.-O.
Bettler40, M. van Beuzekom43, Ia. Bezshyiko42, S. Bifani47, P. Billoir8, T.
Bird56, A. Birnkraut10, A. Bitadze56, A. Bizzeti18,u, T. Blake50, F. Blanc41,
J. Blouw11,†, S. Blusk61, V. Bocci26, T. Boettcher58, A. Bondar36,w, N.
Bondar31,40, W. Bonivento16, I. Bordyuzhin32, A. Borgheresi21,i, S. Borghi56,
M. Borisyak35, M. Borsato39, F. Bossu7, M. Boubdir9, T.J.V. Bowcock54, E.
Bowen42, C. Bozzi17,40, S. Braun12, M. Britsch12, T. Britton61, J.
Brodzicka56, E. Buchanan48, C. Burr56, A. Bursche2, J. Buytaert40, S.
Cadeddu16, R. Calabrese17,g, M. Calvi21,i, M. Calvo Gomez38,m, A. Camboni38,
P. Campana19, D.H. Campora Perez40, L. Capriotti56, A. Carbone15,e, G.
Carboni25,j, R. Cardinale20,h, A. Cardini16, P. Carniti21,i, L. Carson52, K.
Carvalho Akiba2, G. Casse54, L. Cassina21,i, L. Castillo Garcia41, M.
Cattaneo40, Ch. Cauet10, G. Cavallero20, R. Cenci24,t, D. Chamont7, M.
Charles8, Ph. Charpentier40, G. Chatzikonstantinidis47, M. Chefdeville4, S.
Chen56, S.-F. Cheung57, V. Chobanova39, M. Chrzaszcz42,27, X. Cid Vidal39, G.
Ciezarek43, P.E.L. Clarke52, M. Clemencic40, H.V. Cliff49, J. Closier40, V.
Coco59, J. Cogan6, E. Cogneras5, V. Cogoni16,40,f, L. Cojocariu30, G.
Collazuol23,o, P. Collins40, A. Comerma-Montells12, A. Contu40, A. Cook48, G.
Coombs40, S. Coquereau38, G. Corti40, M. Corvo17,g, C.M. Costa Sobral50, B.
Couturier40, G.A. Cowan52, D.C. Craik52, A. Crocombe50, M. Cruz Torres62, S.
Cunliffe55, R. Currie55, C. D’Ambrosio40, F. Da Cunha Marinho2, E.
Dall’Occo43, J. Dalseno48, P.N.Y. David43, A. Davis59, O. De Aguiar
Francisco2, K. De Bruyn6, S. De Capua56, M. De Cian12, J.M. De Miranda1, L. De
Paula2, M. De Serio14,d, P. De Simone19, C.-T. Dean53, D. Decamp4, M.
Deckenhoff10, L. Del Buono8, M. Demmer10, A. Dendek28, D. Derkach35, O.
Deschamps5, F. Dettori40, B. Dey22, A. Di Canto40, H. Dijkstra40, F. Dordei40,
M. Dorigo41, A. Dosil Suárez39, A. Dovbnya45, K. Dreimanis54, L. Dufour43, G.
Dujany56, K. Dungs40, P. Durante40, R. Dzhelyadin37, A. Dziurda40, A.
Dzyuba31, N. Déléage4, S. Easo51, M. Ebert52, U. Egede55, V. Egorychev32, S.
Eidelman36,w, S. Eisenhardt52, U. Eitschberger10, R. Ekelhof10, L. Eklund53,
S. Ely61, S. Esen12, H.M. Evans49, T. Evans57, A. Falabella15, N. Farley47, S.
Farry54, R. Fay54, D. Fazzini21,i, D. Ferguson52, A. Fernandez Prieto39, F.
Ferrari15,40, F. Ferreira Rodrigues2, M. Ferro-Luzzi40, S. Filippov34, R.A.
Fini14, M. Fiore17,g, M. Fiorini17,g, M. Firlej28, C. Fitzpatrick41, T.
Fiutowski28, F. Fleuret7,b, K. Fohl40, M. Fontana16,40, F. Fontanelli20,h,
D.C. Forshaw61, R. Forty40, V. Franco Lima54, M. Frank40, C. Frei40, J.
Fu22,q, E. Furfaro25,j, C. Färber40, A. Gallas Torreira39, D. Galli15,e, S.
Gallorini23, S. Gambetta52, M. Gandelman2, P. Gandini57, Y. Gao3, L.M. Garcia
Martin68, J. García Pardiñas39, J. Garra Tico49, L. Garrido38, P.J. Garsed49,
D. Gascon38, C. Gaspar40, L. Gavardi10, G. Gazzoni5, D. Gerick12, E.
Gersabeck12, M. Gersabeck56, T. Gershon50, Ph. Ghez4, S. Gianì41, V. Gibson49,
O.G. Girard41, L. Giubega30, K. Gizdov52, V.V. Gligorov8, D. Golubkov32, A.
Golutvin55,40, A. Gomes1,a, I.V. Gorelov33, C. Gotti21,i, M. Grabalosa
Gándara5, R. Graciani Diaz38, L.A. Granado Cardoso40, E. Graugés38, E.
Graverini42, G. Graziani18, A. Grecu30, P. Griffith47, L. Grillo21,40,i, B.R.
Gruberg Cazon57, O. Grünberg66, E. Gushchin34, Yu. Guz37, T. Gys40, C.
Göbel62, T. Hadavizadeh57, C. Hadjivasiliou5, G. Haefeli41, C. Haen40, S.C.
Haines49, S. Hall55, B. Hamilton60, X. Han12, S. Hansmann-Menzemer12, N.
Harnew57, S.T. Harnew48, J. Harrison56, M. Hatch40, J. He63, T. Head41, A.
Heister9, K. Hennessy54, P. Henrard5, L. Henry8, J.A. Hernando Morata39, E.
van Herwijnen40, M. Heß66, A. Hicheur2, D. Hill57, C. Hombach56, H. Hopchev41,
W. Hulsbergen43, T. Humair55, M. Hushchyn35, N. Hussain57, D. Hutchcroft54, M.
Idzik28, P. Ilten58, R. Jacobsson40, A. Jaeger12, J. Jalocha57, E. Jans43, A.
Jawahery60, F. Jiang3, M. John57, D. Johnson40, C.R. Jones49, C. Joram40, B.
Jost40, N. Jurik61, S. Kandybei45, W. Kanso6, M. Karacson40, J.M. Kariuki48,
S. Karodia53, M. Kecke12, M. Kelsey61, I.R. Kenyon47, M. Kenzie49, T. Ketel44,
E. Khairullin35, B. Khanji12, C. Khurewathanakul41, T. Kirn9, S. Klaver56, K.
Klimaszewski29, S. Koliiev46, M. Kolpin12, I. Komarov41, R.F. Koopman44, P.
Koppenburg43, A. Kosmyntseva32, A. Kozachuk33, M. Kozeiha5, L. Kravchuk34, K.
Kreplin12, M. Kreps50, P. Krokovny36,w, F. Kruse10, W. Krzemien29, W.
Kucewicz27,l, M. Kucharczyk27, V. Kudryavtsev36,w, A.K. Kuonen41, K. Kurek29,
T. Kvaratskheliya32,40, D. Lacarrere40, G. Lafferty56, A. Lai16, G.
Lanfranchi19, C. Langenbruch9, T. Latham50, C. Lazzeroni47, R. Le Gac6, J. van
Leerdam43, J.-P. Lees4, A. Leflat33,40, J. Lefrançois7, R. Lefèvre5, F.
Lemaitre40, E. Lemos Cid39, O. Leroy6, T. Lesiak27, B. Leverington12, Y. Li7,
T. Likhomanenko35,67, R. Lindner40, C. Linn40, F. Lionetto42, B. Liu16, X.
Liu3, D. Loh50, I. Longstaff53, J.H. Lopes2, D. Lucchesi23,o, M. Lucio
Martinez39, H. Luo52, A. Lupato23, E. Luppi17,g, O. Lupton57, A. Lusiani24, X.
Lyu63, F. Machefert7, F. Maciuc30, O. Maev31, K. Maguire56, S. Malde57, A.
Malinin67, T. Maltsev36, G. Manca7, G. Mancinelli6, P. Manning61, J.
Maratas5,v, J.F. Marchand4, U. Marconi15, C. Marin Benito38, P. Marino24,t, J.
Marks12, G. Martellotti26, M. Martin6, M. Martinelli41, D. Martinez Santos39,
F. Martinez Vidal68, D. Martins Tostes2, L.M. Massacrier7, A. Massafferri1, R.
Matev40, A. Mathad50, Z. Mathe40, C. Matteuzzi21, A. Mauri42, B. Maurin41, A.
Mazurov47, M. McCann55, J. McCarthy47, A. McNab56, R. McNulty13, B. Meadows59,
F. Meier10, M. Meissner12, D. Melnychuk29, M. Merk43, A. Merli22,q, E.
Michielin23, D.A. Milanes65, M.-N. Minard4, D.S. Mitzel12, A. Mogini8, J.
Molina Rodriguez1, I.A. Monroy65, S. Monteil5, M. Morandin23, P. Morawski28,
A. Mordà6, M.J. Morello24,t, J. Moron28, A.B. Morris52, R. Mountain61, F.
Muheim52, M. Mulder43, M. Mussini15, D. Müller56, J. Müller10, K. Müller42, V.
Müller10, P. Naik48, T. Nakada41, R. Nandakumar51, A. Nandi57, I. Nasteva2, M.
Needham52, N. Neri22, S. Neubert12, N. Neufeld40, M. Neuner12, A.D. Nguyen41,
T.D. Nguyen41, C. Nguyen-Mau41,n, S. Nieswand9, R. Niet10, N. Nikitin33, T.
Nikodem12, A. Novoselov37, D.P. O’Hanlon50, A. Oblakowska-Mucha28, V.
Obraztsov37, S. Ogilvy19, R. Oldeman49, C.J.G. Onderwater69, J.M. Otalora
Goicochea2, A. Otto40, P. Owen42, A. Oyanguren68,40, P.R. Pais41, A.
Palano14,d, F. Palombo22,q, M. Palutan19, J. Panman40, A. Papanestis51, M.
Pappagallo14,d, L.L. Pappalardo17,g, W. Parker60, C. Parkes56, G. Passaleva18,
A. Pastore14,d, G.D. Patel54, M. Patel55, C. Patrignani15,e, A. Pearce56,51,
A. Pellegrino43, G. Penso26, M. Pepe Altarelli40, S. Perazzini40, P. Perret5,
L. Pescatore47, K. Petridis48, A. Petrolini20,h, A. Petrov67, M. Petruzzo22,q,
E. Picatoste Olloqui38, B. Pietrzyk4, M. Pikies27, D. Pinci26, A. Pistone20,
A. Piucci12, S. Playfer52, M. Plo Casasus39, T. Poikela40, F. Polci8, A.
Poluektov50,36, I. Polyakov61, E. Polycarpo2, G.J. Pomery48, A. Popov37, D.
Popov11,40, B. Popovici30, S. Poslavskii37, C. Potterat2, E. Price48, J.D.
Price54, J. Prisciandaro39, A. Pritchard54, C. Prouve48, V. Pugatch46, A. Puig
Navarro41, G. Punzi24,p, W. Qian57, R. Quagliani7,48, B. Rachwal27, J.H.
Rademacker48, M. Rama24, M. Ramos Pernas39, M.S. Rangel2, I. Raniuk45, F.
Ratnikov35, G. Raven44, F. Redi55, S. Reichert10, A.C. dos Reis1, C. Remon
Alepuz68, V. Renaudin7, S. Ricciardi51, S. Richards48, M. Rihl40, K.
Rinnert54, V. Rives Molina38, P. Robbe7,40, A.B. Rodrigues1, E. Rodrigues59,
J.A. Rodriguez Lopez65, P. Rodriguez Perez56,†, A. Rogozhnikov35, S. Roiser40,
A. Rollings57, V. Romanovskiy37, A. Romero Vidal39, J.W. Ronayne13, M.
Rotondo19, M.S. Rudolph61, T. Ruf40, P. Ruiz Valls68, J.J. Saborido Silva39,
E. Sadykhov32, N. Sagidova31, B. Saitta16,f, V. Salustino Guimaraes2, C.
Sanchez Mayordomo68, B. Sanmartin Sedes39, R. Santacesaria26, C. Santamarina
Rios39, M. Santimaria19, E. Santovetti25,j, A. Sarti19,k, C. Satriano26,s, A.
Satta25, D.M. Saunders48, D. Savrina32,33, S. Schael9, M. Schellenberg10, M.
Schiller40, H. Schindler40, M. Schlupp10, M. Schmelling11, T. Schmelzer10, B.
Schmidt40, O. Schneider41, A. Schopper40, K. Schubert10, M. Schubiger41, M.-H.
Schune7, R. Schwemmer40, B. Sciascia19, A. Sciubba26,k, A. Semennikov32, A.
Sergi47, N. Serra42, J. Serrano6, L. Sestini23, P. Seyfert21, M. Shapkin37, I.
Shapoval45, Y. Shcheglov31, T. Shears54, L. Shekhtman36,w, V. Shevchenko67,
B.G. Siddi17,40, R. Silva Coutinho42, L. Silva de Oliveira2, G. Simi23,o, S.
Simone14,d, M. Sirendi49, N. Skidmore48, T. Skwarnicki61, E. Smith55, I.T.
Smith52, J. Smith49, M. Smith55, H. Snoek43, M.D. Sokoloff59, F.J.P. Soler53,
B. Souza De Paula2, B. Spaan10, P. Spradlin53, S. Sridharan40, F. Stagni40, M.
Stahl12, S. Stahl40, P. Stefko41, S. Stefkova55, O. Steinkamp42, S. Stemmle12,
O. Stenyakin37, S. Stevenson57, S. Stoica30, S. Stone61, B. Storaci42, S.
Stracka24,p, M. Straticiuc30, U. Straumann42, L. Sun59, W. Sutcliffe55, K.
Swientek28, V. Syropoulos44, M. Szczekowski29, T. Szumlak28, S. T’Jampens4, A.
Tayduganov6, T. Tekampe10, G. Tellarini17,g, F. Teubert40, E. Thomas40, J. van
Tilburg43, M.J. Tilley55, V. Tisserand4, M. Tobin41, S. Tolk49, L.
Tomassetti17,g, D. Tonelli40, S. Topp-Joergensen57, F. Toriello61, E.
Tournefier4, S. Tourneur41, K. Trabelsi41, M. Traill53, M.T. Tran41, M.
Tresch42, A. Trisovic40, A. Tsaregorodtsev6, P. Tsopelas43, A. Tully49, N.
Tuning43, A. Ukleja29, A. Ustyuzhanin35, U. Uwer12, C. Vacca16,f, V.
Vagnoni15,40, A. Valassi40, S. Valat40, G. Valenti15, A. Vallier7, R. Vazquez
Gomez19, P. Vazquez Regueiro39, S. Vecchi17, M. van Veghel43, J.J. Velthuis48,
M. Veltri18,r, G. Veneziano57, A. Venkateswaran61, M. Vernet5, M.
Vesterinen12, B. Viaud7, D. Vieira1, M. Vieites Diaz39, H. Viemann66, X.
Vilasis-Cardona38,m, M. Vitti49, V. Volkov33, A. Vollhardt42, B. Voneki40, A.
Vorobyev31, V. Vorobyev36,w, C. Voß66, J.A. de Vries43, C. Vázquez Sierra39,
R. Waldi66, C. Wallace50, R. Wallace13, J. Walsh24, J. Wang61, D.R. Ward49,
H.M. Wark54, N.K. Watson47, D. Websdale55, A. Weiden42, M. Whitehead40, J.
Wicht50, G. Wilkinson57,40, M. Wilkinson61, M. Williams40, M.P. Williams47, M.
Williams58, T. Williams47, F.F. Wilson51, J. Wimberley60, J. Wishahi10, W.
Wislicki29, M. Witek27, G. Wormser7, S.A. Wotton49, K. Wraight53, K. Wyllie40,
Y. Xie64, Z. Xing61, Z. Xu41, Z. Yang3, Y. Yao61, H. Yin64, J. Yu64, X.
Yuan36,w, O. Yushchenko37, K.A. Zarebski47, M. Zavertyaev11,c, L. Zhang3, Y.
Zhang7, Y. Zhang63, A. Zhelezov12, Y. Zheng63, A. Zhokhov32, X. Zhu3, V.
Zhukov9, S. Zucchelli15.

1Centro Brasileiro de Pesquisas Físicas (CBPF), Rio de Janeiro, Brazil
2Universidade Federal do Rio de Janeiro (UFRJ), Rio de Janeiro, Brazil
3Center for High Energy Physics, Tsinghua University, Beijing, China
4LAPP, Université Savoie Mont-Blanc, CNRS/IN2P3, Annecy-Le-Vieux, France
5Clermont Université, Université Blaise Pascal, CNRS/IN2P3, LPC, Clermont-
Ferrand, France
6CPPM, Aix-Marseille Université, CNRS/IN2P3, Marseille, France
7LAL, Université Paris-Sud, CNRS/IN2P3, Orsay, France
8LPNHE, Université Pierre et Marie Curie, Université Paris Diderot,
CNRS/IN2P3, Paris, France
9I. Physikalisches Institut, RWTH Aachen University, Aachen, Germany
10Fakultät Physik, Technische Universität Dortmund, Dortmund, Germany
11Max-Planck-Institut für Kernphysik (MPIK), Heidelberg, Germany
12Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg,
Germany
13School of Physics, University College Dublin, Dublin, Ireland
14Sezione INFN di Bari, Bari, Italy
15Sezione INFN di Bologna, Bologna, Italy
16Sezione INFN di Cagliari, Cagliari, Italy
17Sezione INFN di Ferrara, Ferrara, Italy
18Sezione INFN di Firenze, Firenze, Italy
19Laboratori Nazionali dell’INFN di Frascati, Frascati, Italy
20Sezione INFN di Genova, Genova, Italy
21Sezione INFN di Milano Bicocca, Milano, Italy
22Sezione INFN di Milano, Milano, Italy
23Sezione INFN di Padova, Padova, Italy
24Sezione INFN di Pisa, Pisa, Italy
25Sezione INFN di Roma Tor Vergata, Roma, Italy
26Sezione INFN di Roma La Sapienza, Roma, Italy
27Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of
Sciences, Kraków, Poland
28AGH - University of Science and Technology, Faculty of Physics and Applied
Computer Science, Kraków, Poland
29National Center for Nuclear Research (NCBJ), Warsaw, Poland
30Horia Hulubei National Institute of Physics and Nuclear Engineering,
Bucharest-Magurele, Romania
31Petersburg Nuclear Physics Institute (PNPI), Gatchina, Russia
32Institute of Theoretical and Experimental Physics (ITEP), Moscow, Russia
33Institute of Nuclear Physics, Moscow State University (SINP MSU), Moscow,
Russia
34Institute for Nuclear Research of the Russian Academy of Sciences (INR RAN),
Moscow, Russia
35Yandex School of Data Analysis, Moscow, Russia
36Budker Institute of Nuclear Physics (SB RAS), Novosibirsk, Russia,
Novosibirsk, Russia
37Institute for High Energy Physics (IHEP), Protvino, Russia
38ICCUB, Universitat de Barcelona, Barcelona, Spain
39Universidad de Santiago de Compostela, Santiago de Compostela, Spain
40European Organization for Nuclear Research (CERN), Geneva, Switzerland
41Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
42Physik-Institut, Universität Zürich, Zürich, Switzerland
43Nikhef National Institute for Subatomic Physics, Amsterdam, The Netherlands
44Nikhef National Institute for Subatomic Physics and VU University Amsterdam,
Amsterdam, The Netherlands
45NSC Kharkiv Institute of Physics and Technology (NSC KIPT), Kharkiv, Ukraine
46Institute for Nuclear Research of the National Academy of Sciences (KINR),
Kyiv, Ukraine
47University of Birmingham, Birmingham, United Kingdom
48H.H. Wills Physics Laboratory, University of Bristol, Bristol, United
Kingdom
49Cavendish Laboratory, University of Cambridge, Cambridge, United Kingdom
50Department of Physics, University of Warwick, Coventry, United Kingdom
51STFC Rutherford Appleton Laboratory, Didcot, United Kingdom
52School of Physics and Astronomy, University of Edinburgh, Edinburgh, United
Kingdom
53School of Physics and Astronomy, University of Glasgow, Glasgow, United
Kingdom
54Oliver Lodge Laboratory, University of Liverpool, Liverpool, United Kingdom
55Imperial College London, London, United Kingdom
56School of Physics and Astronomy, University of Manchester, Manchester,
United Kingdom
57Department of Physics, University of Oxford, Oxford, United Kingdom
58Massachusetts Institute of Technology, Cambridge, MA, United States
59University of Cincinnati, Cincinnati, OH, United States
60University of Maryland, College Park, MD, United States
61Syracuse University, Syracuse, NY, United States
62Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio), Rio de
Janeiro, Brazil, associated to 2
63University of Chinese Academy of Sciences, Beijing, China, associated to 3
64Institute of Particle Physics, Central China Normal University, Wuhan,
Hubei, China, associated to 3
65Departamento de Fisica , Universidad Nacional de Colombia, Bogota, Colombia,
associated to 8
66Institut für Physik, Universität Rostock, Rostock, Germany, associated to 12
67National Research Centre Kurchatov Institute, Moscow, Russia, associated to
32
68Instituto de Fisica Corpuscular (IFIC), Universitat de Valencia-CSIC,
Valencia, Spain, associated to 38
69Van Swinderen Institute, University of Groningen, Groningen, The
Netherlands, associated to 43

aUniversidade Federal do Triângulo Mineiro (UFTM), Uberaba-MG, Brazil
bLaboratoire Leprince-Ringuet, Palaiseau, France
cP.N. Lebedev Physical Institute, Russian Academy of Science (LPI RAS),
Moscow, Russia
dUniversità di Bari, Bari, Italy
eUniversità di Bologna, Bologna, Italy
fUniversità di Cagliari, Cagliari, Italy
gUniversità di Ferrara, Ferrara, Italy
hUniversità di Genova, Genova, Italy
iUniversità di Milano Bicocca, Milano, Italy
jUniversità di Roma Tor Vergata, Roma, Italy
kUniversità di Roma La Sapienza, Roma, Italy
lAGH - University of Science and Technology, Faculty of Computer Science,
Electronics and Telecommunications, Kraków, Poland
mLIFAELS, La Salle, Universitat Ramon Llull, Barcelona, Spain
nHanoi University of Science, Hanoi, Viet Nam
oUniversità di Padova, Padova, Italy
pUniversità di Pisa, Pisa, Italy
qUniversità degli Studi di Milano, Milano, Italy
rUniversità di Urbino, Urbino, Italy
sUniversità della Basilicata, Potenza, Italy
tScuola Normale Superiore, Pisa, Italy
uUniversità di Modena e Reggio Emilia, Modena, Italy
vIligan Institute of Technology (IIT), Iligan, Philippines
wNovosibirsk State University, Novosibirsk, Russia
†Deceased