BELLE2-CONF-PH-2020-005

Belle II Collaboration

The Belle II Collaboration

#
A calibration of the Belle II hadronic tag-side reconstruction algorithm with
$B\rightarrow X\ell\nu$ decays

F. Abudinén  INFN Sezione di Trieste, I-34127 Trieste, Italy  I. Adachi  High
Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The
Graduate University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan
R. Adak  Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and
Institute of Modern Physics, Fudan University, Shanghai 200443, China  K.
Adamczyk  H. Niewodniczanski Institute of Nuclear Physics, Krakow 31-342,
Poland  P. Ahlburg  University of Bonn, 53115 Bonn, Germany  J. K. Ahn  Korea
University, Seoul 02841, South Korea  H. Aihara  Department of Physics,
University of Tokyo, Tokyo 113-0033, Japan  N. Akopov  Alikhanyan National
Science Laboratory, Yerevan 0036, Armenia  A. Aloisio  Dipartimento di Scienze
Fisiche, Università di Napoli Federico II, I-80126 Napoli, Italy  INFN Sezione
di Napoli, I-80126 Napoli, Italy  F. Ameli  INFN Sezione di Roma, I-00185
Roma, Italy  L. Andricek  Semiconductor Laboratory of the Max Planck Society,
81739 München, Germany  N. Anh Ky  Institute of Physics, Vietnam Academy of
Science and Technology (VAST), Hanoi, Vietnam  Institute of Theoretical and
Applied Research (ITAR), Duy Tan University, Hanoi 100000, Vietnam  D. M.
Asner  Brookhaven National Laboratory, Upton, New York 11973, U.S.A.  H.
Atmacan  University of Cincinnati, Cincinnati, Ohio 45221, U.S.A.  V.
Aulchenko  Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090,
Russian Federation  Novosibirsk State University, Novosibirsk 630090, Russian
Federation  T. Aushev  Higher School of Economics (HSE), Moscow 101000,
Russian Federation  V. Aushev  Taras Shevchenko National Univ. of Kiev, Kiev,
Ukraine  T. Aziz  Tata Institute of Fundamental Research, Mumbai 400005, India
V. Babu  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  S. Bacher
H. Niewodniczanski Institute of Nuclear Physics, Krakow 31-342, Poland  S.
Baehr  Institut für Experimentelle Teilchenphysik, Karlsruher Institut für
Technologie, 76131 Karlsruhe, Germany  S. Bahinipati  Indian Institute of
Technology Bhubaneswar, Satya Nagar 751007, India  A. M. Bakich  School of
Physics, University of Sydney, New South Wales 2006, Australia  P. Bambade
Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France  Sw. Banerjee
University of Louisville, Louisville, Kentucky 40292, U.S.A.  S. Bansal
Panjab University, Chandigarh 160014, India  M. Barrett  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  G. Batignani
Dipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy  INFN Sezione
di Pisa, I-56127 Pisa, Italy  J. Baudot  Université de Strasbourg, CNRS, IPHC,
UMR 7178, 67037 Strasbourg, France  A. Beaulieu  University of Victoria,
Victoria, British Columbia, V8W 3P6, Canada  J. Becker  Institut für
Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, 76131
Karlsruhe, Germany  P. K. Behera  Indian Institute of Technology Madras,
Chennai 600036, India  M. Bender  Ludwig Maximilians University, 80539 Munich,
Germany  J. V. Bennett  University of Mississippi, University, Mississippi
38677, U.S.A.  E. Bernieri  INFN Sezione di Roma Tre, I-00146 Roma, Italy  F.
U. Bernlochner  University of Bonn, 53115 Bonn, Germany  M. Bertemes
Institute of High Energy Physics, Vienna 1050, Austria  M. Bessner  University
of Hawaii, Honolulu, Hawaii 96822, U.S.A.  S. Bettarini  Dipartimento di
Fisica, Università di Pisa, I-56127 Pisa, Italy  INFN Sezione di Pisa, I-56127
Pisa, Italy  V. Bhardwaj  Indian Institute of Science Education and Research
Mohali, SAS Nagar, 140306, India  B. Bhuyan  Indian Institute of Technology
Guwahati, Assam 781039, India  F. Bianchi  Dipartimento di Fisica, Università
di Torino, I-10125 Torino, Italy  INFN Sezione di Torino, I-10125 Torino,
Italy  T. Bilka  Faculty of Mathematics and Physics, Charles University, 121
16 Prague, Czech Republic  S. Bilokin  Ludwig Maximilians University, 80539
Munich, Germany  D. Biswas  University of Louisville, Louisville, Kentucky
40292, U.S.A.  A. Bobrov  Budker Institute of Nuclear Physics SB RAS,
Novosibirsk 630090, Russian Federation  Novosibirsk State University,
Novosibirsk 630090, Russian Federation  A. Bondar  Budker Institute of Nuclear
Physics SB RAS, Novosibirsk 630090, Russian Federation  Novosibirsk State
University, Novosibirsk 630090, Russian Federation  G. Bonvicini  Wayne State
University, Detroit, Michigan 48202, U.S.A.  A. Bozek  H. Niewodniczanski
Institute of Nuclear Physics, Krakow 31-342, Poland  M. Bračko  University of
Maribor, 2000 Maribor, Slovenia  J. Stefan Institute, 1000 Ljubljana, Slovenia
P. Branchini  INFN Sezione di Roma Tre, I-00146 Roma, Italy  N. Braun
Institut für Experimentelle Teilchenphysik, Karlsruher Institut für
Technologie, 76131 Karlsruhe, Germany  R. A. Briere  Carnegie Mellon
University, Pittsburgh, Pennsylvania 15213, U.S.A.  T. E. Browder  University
of Hawaii, Honolulu, Hawaii 96822, U.S.A.  D. N. Brown  University of
Louisville, Louisville, Kentucky 40292, U.S.A.  A. Budano  INFN Sezione di
Roma Tre, I-00146 Roma, Italy  L. Burmistrov  Université Paris-Saclay,
CNRS/IN2P3, IJCLab, 91405 Orsay, France  S. Bussino  Dipartimento di
Matematica e Fisica, Università di Roma Tre, I-00146 Roma, Italy  INFN Sezione
di Roma Tre, I-00146 Roma, Italy  M. Campajola  Dipartimento di Scienze
Fisiche, Università di Napoli Federico II, I-80126 Napoli, Italy  INFN Sezione
di Napoli, I-80126 Napoli, Italy  L. Cao  University of Bonn, 53115 Bonn,
Germany  G. Caria  School of Physics, University of Melbourne, Victoria 3010,
Australia  G. Casarosa  Dipartimento di Fisica, Università di Pisa, I-56127
Pisa, Italy  INFN Sezione di Pisa, I-56127 Pisa, Italy  C. Cecchi
Dipartimento di Fisica, Università di Perugia, I-06123 Perugia, Italy  INFN
Sezione di Perugia, I-06123 Perugia, Italy  D. Červenkov  Faculty of
Mathematics and Physics, Charles University, 121 16 Prague, Czech Republic
M.-C. Chang  Department of Physics, Fu Jen Catholic University, Taipei 24205,
Taiwan  P. Chang  Department of Physics, National Taiwan University, Taipei
10617, Taiwan  R. Cheaib  University of British Columbia, Vancouver, British
Columbia, V6T 1Z1, Canada  V. Chekelian  Max-Planck-Institut für Physik, 80805
München, Germany  Y. Q. Chen  University of Science and Technology of China,
Hefei 230026, China  Y.-T. Chen  Department of Physics, National Taiwan
University, Taipei 10617, Taiwan  B. G. Cheon  Department of Physics and
Institute of Natural Sciences, Hanyang University, Seoul 04763, South Korea
K. Chilikin  P.N. Lebedev Physical Institute of the Russian Academy of
Sciences, Moscow 119991, Russian Federation  K. Chirapatpimol  Chiang Mai
University, Chiang Mai 50202, Thailand  H.-E. Cho  Department of Physics and
Institute of Natural Sciences, Hanyang University, Seoul 04763, South Korea
K. Cho  Korea Institute of Science and Technology Information, Daejeon 34141,
South Korea  S.-J. Cho  Yonsei University, Seoul 03722, South Korea  S.-K.
Choi  Gyeongsang National University, Jinju 52828, South Korea  S. Choudhury
Indian Institute of Technology Hyderabad, Telangana 502285, India  D. Cinabro
Wayne State University, Detroit, Michigan 48202, U.S.A.  L. Corona
Dipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy  INFN Sezione
di Pisa, I-56127 Pisa, Italy  L. M. Cremaldi  University of Mississippi,
University, Mississippi 38677, U.S.A.  D. Cuesta  Université de Strasbourg,
CNRS, IPHC, UMR 7178, 67037 Strasbourg, France  S. Cunliffe  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  T. Czank  Kavli Institute for
the Physics and Mathematics of the Universe (WPI), University of Tokyo,
Kashiwa 277-8583, Japan  N. Dash  Indian Institute of Technology Madras,
Chennai 600036, India  F. Dattola  Deutsches Elektronen–Synchrotron, 22607
Hamburg, Germany  E. De La Cruz-Burelo  Centro de Investigacion y de Estudios
Avanzados del Instituto Politecnico Nacional, Mexico City 07360, Mexico  G. De
Nardo  Dipartimento di Scienze Fisiche, Università di Napoli Federico II,
I-80126 Napoli, Italy  INFN Sezione di Napoli, I-80126 Napoli, Italy  M. De
Nuccio  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  G. De Pietro
INFN Sezione di Roma Tre, I-00146 Roma, Italy  R. de Sangro  INFN Laboratori
Nazionali di Frascati, I-00044 Frascati, Italy  B. Deschamps  University of
Bonn, 53115 Bonn, Germany  M. Destefanis  Dipartimento di Fisica, Università
di Torino, I-10125 Torino, Italy  INFN Sezione di Torino, I-10125 Torino,
Italy  S. Dey  Tel Aviv University, School of Physics and Astronomy, Tel Aviv,
69978, Israel  A. De Yta-Hernandez  Centro de Investigacion y de Estudios
Avanzados del Instituto Politecnico Nacional, Mexico City 07360, Mexico  A. Di
Canto  Brookhaven National Laboratory, Upton, New York 11973, U.S.A.  F. Di
Capua  Dipartimento di Scienze Fisiche, Università di Napoli Federico II,
I-80126 Napoli, Italy  INFN Sezione di Napoli, I-80126 Napoli, Italy  S. Di
Carlo  Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France  J.
Dingfelder  University of Bonn, 53115 Bonn, Germany  Z. Doležal  Faculty of
Mathematics and Physics, Charles University, 121 16 Prague, Czech Republic  I.
Domínguez Jiménez  Universidad Autonoma de Sinaloa, Sinaloa 80000, Mexico  T.
V. Dong  Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and
Institute of Modern Physics, Fudan University, Shanghai 200443, China  K. Dort
Justus-Liebig-Universität Gießen, 35392 Gießen, Germany  D. Dossett  School of
Physics, University of Melbourne, Victoria 3010, Australia  S. Dubey
University of Hawaii, Honolulu, Hawaii 96822, U.S.A.  S. Duell  University of
Bonn, 53115 Bonn, Germany  G. Dujany  Université de Strasbourg, CNRS, IPHC,
UMR 7178, 67037 Strasbourg, France  S. Eidelman  Budker Institute of Nuclear
Physics SB RAS, Novosibirsk 630090, Russian Federation  P.N. Lebedev Physical
Institute of the Russian Academy of Sciences, Moscow 119991, Russian
Federation  Novosibirsk State University, Novosibirsk 630090, Russian
Federation  M. Eliachevitch  University of Bonn, 53115 Bonn, Germany  D.
Epifanov  Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090,
Russian Federation  Novosibirsk State University, Novosibirsk 630090, Russian
Federation  J. E. Fast  Pacific Northwest National Laboratory, Richland,
Washington 99352, U.S.A.  T. Ferber  Deutsches Elektronen–Synchrotron, 22607
Hamburg, Germany  D. Ferlewicz  School of Physics, University of Melbourne,
Victoria 3010, Australia  G. Finocchiaro  INFN Laboratori Nazionali di
Frascati, I-00044 Frascati, Italy  S. Fiore  INFN Sezione di Roma, I-00185
Roma, Italy  P. Fischer  University of Heidelberg, 68131 Mannheim, Germany  A.
Fodor  McGill University, Montréal, Québec, H3A 2T8, Canada  F. Forti
Dipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy  INFN Sezione
di Pisa, I-56127 Pisa, Italy  A. Frey  II. Physikalisches Institut, Georg-
August-Universität Göttingen, 37073 Göttingen, Germany  M. Friedl  Institute
of High Energy Physics, Vienna 1050, Austria  B. G. Fulsom  Pacific Northwest
National Laboratory, Richland, Washington 99352, U.S.A.  M. Gabriel  Max-
Planck-Institut für Physik, 80805 München, Germany  N. Gabyshev  Budker
Institute of Nuclear Physics SB RAS, Novosibirsk 630090, Russian Federation
Novosibirsk State University, Novosibirsk 630090, Russian Federation  E.
Ganiev  Dipartimento di Fisica, Università di Trieste, I-34127 Trieste, Italy
INFN Sezione di Trieste, I-34127 Trieste, Italy  M. Garcia-Hernandez  Centro
de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional,
Mexico City 07360, Mexico  R. Garg  Panjab University, Chandigarh 160014,
India  A. Garmash  Budker Institute of Nuclear Physics SB RAS, Novosibirsk
630090, Russian Federation  Novosibirsk State University, Novosibirsk 630090,
Russian Federation  V. Gaur  Virginia Polytechnic Institute and State
University, Blacksburg, Virginia 24061, U.S.A.  A. Gaz  Graduate School of
Science, Nagoya University, Nagoya 464-8602, Japan  Kobayashi-Maskawa
Institute, Nagoya University, Nagoya 464-8602, Japan  U. Gebauer  II.
Physikalisches Institut, Georg-August-Universität Göttingen, 37073 Göttingen,
Germany  M. Gelb  Institut für Experimentelle Teilchenphysik, Karlsruher
Institut für Technologie, 76131 Karlsruhe, Germany  A. Gellrich  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  J. Gemmler  Institut für
Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, 76131
Karlsruhe, Germany  T. Geßler  Justus-Liebig-Universität Gießen, 35392 Gießen,
Germany  D. Getzkow  Justus-Liebig-Universität Gießen, 35392 Gießen, Germany
R. Giordano  Dipartimento di Scienze Fisiche, Università di Napoli Federico
II, I-80126 Napoli, Italy  INFN Sezione di Napoli, I-80126 Napoli, Italy  A.
Giri  Indian Institute of Technology Hyderabad, Telangana 502285, India  A.
Glazov  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  B. Gobbo
INFN Sezione di Trieste, I-34127 Trieste, Italy  R. Godang  University of
South Alabama, Mobile, Alabama 36688, U.S.A.  P. Goldenzweig  Institut für
Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, 76131
Karlsruhe, Germany  B. Golob  Faculty of Mathematics and Physics, University
of Ljubljana, 1000 Ljubljana, Slovenia  J. Stefan Institute, 1000 Ljubljana,
Slovenia  P. Gomis  Instituto de Fisica Corpuscular, Paterna 46980, Spain  P.
Grace  Department of Physics, University of Adelaide, Adelaide, South
Australia 5005, Australia  W. Gradl  Johannes Gutenberg-Universität Mainz,
Institut für Kernphysik, D-55099 Mainz, Germany  E. Graziani  INFN Sezione di
Roma Tre, I-00146 Roma, Italy  D. Greenwald  Department of Physics, Technische
Universität München, 85748 Garching, Germany  Y. Guan  University of
Cincinnati, Cincinnati, Ohio 45221, U.S.A.  C. Hadjivasiliou  Pacific
Northwest National Laboratory, Richland, Washington 99352, U.S.A.  S. Halder
Tata Institute of Fundamental Research, Mumbai 400005, India  K. Hara  High
Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The
Graduate University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan
T. Hara  High Energy Accelerator Research Organization (KEK), Tsukuba
305-0801, Japan  The Graduate University for Advanced Studies (SOKENDAI),
Hayama 240-0193, Japan  O. Hartbrich  University of Hawaii, Honolulu, Hawaii
96822, U.S.A.  T. Hauth  Institut für Experimentelle Teilchenphysik,
Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany  K. Hayasaka
Niigata University, Niigata 950-2181, Japan  H. Hayashii  Nara Women’s
University, Nara 630-8506, Japan  C. Hearty  University of British Columbia,
Vancouver, British Columbia, V6T 1Z1, Canada  Institute of Particle Physics
(Canada), Victoria, British Columbia V8W 2Y2, Canada  M. Heck  Institut für
Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, 76131
Karlsruhe, Germany  M. T. Hedges  University of Hawaii, Honolulu, Hawaii
96822, U.S.A.  I. Heredia de la Cruz  Centro de Investigacion y de Estudios
Avanzados del Instituto Politecnico Nacional, Mexico City 07360, Mexico
Consejo Nacional de Ciencia y Tecnología, Mexico City 03940, Mexico  M.
Hernández Villanueva  University of Mississippi, University, Mississippi
38677, U.S.A.  A. Hershenhorn  University of British Columbia, Vancouver,
British Columbia, V6T 1Z1, Canada  T. Higuchi  Kavli Institute for the Physics
and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583,
Japan  E. C. Hill  University of British Columbia, Vancouver, British
Columbia, V6T 1Z1, Canada  H. Hirata  Graduate School of Science, Nagoya
University, Nagoya 464-8602, Japan  M. Hoek  Johannes Gutenberg-Universität
Mainz, Institut für Kernphysik, D-55099 Mainz, Germany  M. Hohmann  School of
Physics, University of Melbourne, Victoria 3010, Australia  S. Hollitt
Department of Physics, University of Adelaide, Adelaide, South Australia 5005,
Australia  T. Hotta  Research Center for Nuclear Physics, Osaka University,
Osaka 567-0047, Japan  C.-L. Hsu  School of Physics, University of Sydney, New
South Wales 2006, Australia  Y. Hu  Institute of High Energy Physics, Chinese
Academy of Sciences, Beijing 100049, China  K. Huang  Department of Physics,
National Taiwan University, Taipei 10617, Taiwan  T. Iijima  Graduate School
of Science, Nagoya University, Nagoya 464-8602, Japan  Kobayashi-Maskawa
Institute, Nagoya University, Nagoya 464-8602, Japan  K. Inami  Graduate
School of Science, Nagoya University, Nagoya 464-8602, Japan  G. Inguglia
Institute of High Energy Physics, Vienna 1050, Austria  J. Irakkathil Jabbar
Institut für Experimentelle Teilchenphysik, Karlsruher Institut für
Technologie, 76131 Karlsruhe, Germany  A. Ishikawa  High Energy Accelerator
Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate University
for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  R. Itoh  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate
University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  M. Iwasaki
Osaka City University, Osaka 558-8585, Japan  Y. Iwasaki  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  S. Iwata
Tokyo Metropolitan University, Tokyo 192-0397, Japan  P. Jackson  Department
of Physics, University of Adelaide, Adelaide, South Australia 5005, Australia
W. W. Jacobs  Indiana University, Bloomington, Indiana 47408, U.S.A.  I.
Jaegle  University of Florida, Gainesville, Florida 32611, U.S.A.  D. E. Jaffe
Brookhaven National Laboratory, Upton, New York 11973, U.S.A.  E.-J. Jang
Gyeongsang National University, Jinju 52828, South Korea  M. Jeandron
University of Mississippi, University, Mississippi 38677, U.S.A.  H. B. Jeon
Kyungpook National University, Daegu 41566, South Korea  S. Jia  Key
Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of
Modern Physics, Fudan University, Shanghai 200443, China  Y. Jin  INFN Sezione
di Trieste, I-34127 Trieste, Italy  C. Joo  Kavli Institute for the Physics
and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583,
Japan  K. K. Joo  Chonnam National University, Gwangju 61186, South Korea  I.
Kadenko  Taras Shevchenko National Univ. of Kiev, Kiev, Ukraine  J. Kahn
Institut für Experimentelle Teilchenphysik, Karlsruher Institut für
Technologie, 76131 Karlsruhe, Germany  H. Kakuno  Tokyo Metropolitan
University, Tokyo 192-0397, Japan  A. B. Kaliyar  Tata Institute of
Fundamental Research, Mumbai 400005, India  J. Kandra  Faculty of Mathematics
and Physics, Charles University, 121 16 Prague, Czech Republic  K. H. Kang
Kyungpook National University, Daegu 41566, South Korea  P. Kapusta  H.
Niewodniczanski Institute of Nuclear Physics, Krakow 31-342, Poland  R. Karl
Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  G. Karyan
Alikhanyan National Science Laboratory, Yerevan 0036, Armenia  Y. Kato
Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan
Kobayashi-Maskawa Institute, Nagoya University, Nagoya 464-8602, Japan  H.
Kawai  Chiba University, Chiba 263-8522, Japan  T. Kawasaki  Kitasato
University, Sagamihara 252-0373, Japan  T. Keck  Institut für Experimentelle
Teilchenphysik, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany
C. Ketter  University of Hawaii, Honolulu, Hawaii 96822, U.S.A.  H. Kichimi
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
C. Kiesling  Max-Planck-Institut für Physik, 80805 München, Germany  B. H. Kim
Seoul National University, Seoul 08826, South Korea  C.-H. Kim  Department of
Physics and Institute of Natural Sciences, Hanyang University, Seoul 04763,
South Korea  D. Y. Kim  Soongsil University, Seoul 06978, South Korea  H. J.
Kim  Kyungpook National University, Daegu 41566, South Korea  J. B. Kim  Korea
University, Seoul 02841, South Korea  K.-H. Kim  Yonsei University, Seoul
03722, South Korea  K. Kim  Korea University, Seoul 02841, South Korea  S.-H.
Kim  Seoul National University, Seoul 08826, South Korea  Y.-K. Kim  Yonsei
University, Seoul 03722, South Korea  Y. Kim  Korea University, Seoul 02841,
South Korea  T. D. Kimmel  Virginia Polytechnic Institute and State
University, Blacksburg, Virginia 24061, U.S.A.  H. Kindo  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate
University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  K.
Kinoshita  University of Cincinnati, Cincinnati, Ohio 45221, U.S.A.  B. Kirby
Brookhaven National Laboratory, Upton, New York 11973, U.S.A.  C. Kleinwort
Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  B. Knysh  Université
Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France  P. Kodyš  Faculty of
Mathematics and Physics, Charles University, 121 16 Prague, Czech Republic  T.
Koga  High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801,
Japan  S. Kohani  University of Hawaii, Honolulu, Hawaii 96822, U.S.A.  I.
Komarov  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  T. Konno
Kitasato University, Sagamihara 252-0373, Japan  S. Korpar  University of
Maribor, 2000 Maribor, Slovenia  J. Stefan Institute, 1000 Ljubljana, Slovenia
N. Kovalchuk  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  T. M.
G. Kraetzschmar  Max-Planck-Institut für Physik, 80805 München, Germany  P.
Križan  Faculty of Mathematics and Physics, University of Ljubljana, 1000
Ljubljana, Slovenia  J. Stefan Institute, 1000 Ljubljana, Slovenia  R. Kroeger
University of Mississippi, University, Mississippi 38677, U.S.A.  J. F. Krohn
School of Physics, University of Melbourne, Victoria 3010, Australia  P.
Krokovny  Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090,
Russian Federation  Novosibirsk State University, Novosibirsk 630090, Russian
Federation  H. Krüger  University of Bonn, 53115 Bonn, Germany  W. Kuehn
Justus-Liebig-Universität Gießen, 35392 Gießen, Germany  T. Kuhr  Ludwig
Maximilians University, 80539 Munich, Germany  J. Kumar  Carnegie Mellon
University, Pittsburgh, Pennsylvania 15213, U.S.A.  M. Kumar  Malaviya
National Institute of Technology Jaipur, Jaipur 302017, India  R. Kumar
Punjab Agricultural University, Ludhiana 141004, India  K. Kumara  Wayne State
University, Detroit, Michigan 48202, U.S.A.  T. Kumita  Tokyo Metropolitan
University, Tokyo 192-0397, Japan  T. Kunigo  High Energy Accelerator Research
Organization (KEK), Tsukuba 305-0801, Japan  M. Künzel  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  Ludwig Maximilians University,
80539 Munich, Germany  S. Kurz  Deutsches Elektronen–Synchrotron, 22607
Hamburg, Germany  A. Kuzmin  Budker Institute of Nuclear Physics SB RAS,
Novosibirsk 630090, Russian Federation  Novosibirsk State University,
Novosibirsk 630090, Russian Federation  P. Kvasnička  Faculty of Mathematics
and Physics, Charles University, 121 16 Prague, Czech Republic  Y.-J. Kwon
Yonsei University, Seoul 03722, South Korea  S. Lacaprara  INFN Sezione di
Padova, I-35131 Padova, Italy  Y.-T. Lai  Kavli Institute for the Physics and
Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583,
Japan  C. La Licata  Kavli Institute for the Physics and Mathematics of the
Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan  K. Lalwani
Malaviya National Institute of Technology Jaipur, Jaipur 302017, India  L.
Lanceri  INFN Sezione di Trieste, I-34127 Trieste, Italy  J. S. Lange  Justus-
Liebig-Universität Gießen, 35392 Gießen, Germany  K. Lautenbach  Justus-
Liebig-Universität Gießen, 35392 Gießen, Germany  P. J. Laycock  Brookhaven
National Laboratory, Upton, New York 11973, U.S.A.  F. R. Le Diberder
Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France  I.-S. Lee
Department of Physics and Institute of Natural Sciences, Hanyang University,
Seoul 04763, South Korea  S. C. Lee  Kyungpook National University, Daegu
41566, South Korea  P. Leitl  Max-Planck-Institut für Physik, 80805 München,
Germany  D. Levit  Department of Physics, Technische Universität München,
85748 Garching, Germany  P. M. Lewis  University of Bonn, 53115 Bonn, Germany
C. Li  Liaoning Normal University, Dalian 116029, China  L. K. Li  University
of Cincinnati, Cincinnati, Ohio 45221, U.S.A.  S. X. Li  Beihang University,
Beijing 100191, China  Y. M. Li  Institute of High Energy Physics, Chinese
Academy of Sciences, Beijing 100049, China  Y. B. Li  Peking University,
Beijing 100871, China  J. Libby  Indian Institute of Technology Madras,
Chennai 600036, India  K. Lieret  Ludwig Maximilians University, 80539 Munich,
Germany  L. Li Gioi  Max-Planck-Institut für Physik, 80805 München, Germany
J. Lin  Department of Physics, National Taiwan University, Taipei 10617,
Taiwan  Z. Liptak  University of Hawaii, Honolulu, Hawaii 96822, U.S.A.  Q. Y.
Liu  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  Z. A. Liu
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049,
China  D. Liventsev  Wayne State University, Detroit, Michigan 48202, U.S.A.
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
S. Longo  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  A. Loos
University of South Carolina, Columbia, South Carolina 29208, U.S.A.  P. Lu
Department of Physics, National Taiwan University, Taipei 10617, Taiwan  M.
Lubej  J. Stefan Institute, 1000 Ljubljana, Slovenia  T. Lueck  Ludwig
Maximilians University, 80539 Munich, Germany  F. Luetticke  University of
Bonn, 53115 Bonn, Germany  T. Luo  Key Laboratory of Nuclear Physics and Ion-
beam Application (MOE) and Institute of Modern Physics, Fudan University,
Shanghai 200443, China  C. MacQueen  School of Physics, University of
Melbourne, Victoria 3010, Australia  Y. Maeda  Graduate School of Science,
Nagoya University, Nagoya 464-8602, Japan  Kobayashi-Maskawa Institute, Nagoya
University, Nagoya 464-8602, Japan  M. Maggiora  Dipartimento di Fisica,
Università di Torino, I-10125 Torino, Italy  INFN Sezione di Torino, I-10125
Torino, Italy  S. Maity  Indian Institute of Technology Bhubaneswar, Satya
Nagar 751007, India  R. Manfredi  Dipartimento di Fisica, Università di
Trieste, I-34127 Trieste, Italy  INFN Sezione di Trieste, I-34127 Trieste,
Italy  E. Manoni  INFN Sezione di Perugia, I-06123 Perugia, Italy  S. Marcello
Dipartimento di Fisica, Università di Torino, I-10125 Torino, Italy  INFN
Sezione di Torino, I-10125 Torino, Italy  C. Marinas  Instituto de Fisica
Corpuscular, Paterna 46980, Spain  A. Martini  Dipartimento di Matematica e
Fisica, Università di Roma Tre, I-00146 Roma, Italy  INFN Sezione di Roma Tre,
I-00146 Roma, Italy  M. Masuda  Earthquake Research Institute, University of
Tokyo, Tokyo 113-0032, Japan  Research Center for Nuclear Physics, Osaka
University, Osaka 567-0047, Japan  T. Matsuda  University of Miyazaki,
Miyazaki 889-2192, Japan  K. Matsuoka  Graduate School of Science, Nagoya
University, Nagoya 464-8602, Japan  Kobayashi-Maskawa Institute, Nagoya
University, Nagoya 464-8602, Japan  D. Matvienko  Budker Institute of Nuclear
Physics SB RAS, Novosibirsk 630090, Russian Federation  P.N. Lebedev Physical
Institute of the Russian Academy of Sciences, Moscow 119991, Russian
Federation  Novosibirsk State University, Novosibirsk 630090, Russian
Federation  J. McNeil  University of Florida, Gainesville, Florida 32611,
U.S.A.  F. Meggendorfer  Max-Planck-Institut für Physik, 80805 München,
Germany  J. C. Mei  Key Laboratory of Nuclear Physics and Ion-beam Application
(MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443,
China  F. Meier  Duke University, Durham, North Carolina 27708, U.S.A.  M.
Merola  Dipartimento di Scienze Fisiche, Università di Napoli Federico II,
I-80126 Napoli, Italy  INFN Sezione di Napoli, I-80126 Napoli, Italy  F.
Metzner  Institut für Experimentelle Teilchenphysik, Karlsruher Institut für
Technologie, 76131 Karlsruhe, Germany  M. Milesi  School of Physics,
University of Melbourne, Victoria 3010, Australia  C. Miller  University of
Victoria, Victoria, British Columbia, V8W 3P6, Canada  K. Miyabayashi  Nara
Women’s University, Nara 630-8506, Japan  H. Miyake  High Energy Accelerator
Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate University
for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  H. Miyata  Niigata
University, Niigata 950-2181, Japan  R. Mizuk  P.N. Lebedev Physical Institute
of the Russian Academy of Sciences, Moscow 119991, Russian Federation  Higher
School of Economics (HSE), Moscow 101000, Russian Federation  K. Azmi
National Centre for Particle Physics, University Malaya, 50603 Kuala Lumpur,
Malaysia  G. B. Mohanty  Tata Institute of Fundamental Research, Mumbai
400005, India  H. Moon  Korea University, Seoul 02841, South Korea  T. Moon
Seoul National University, Seoul 08826, South Korea  J. A. Mora Grimaldo
Department of Physics, University of Tokyo, Tokyo 113-0033, Japan  A. Morda
INFN Sezione di Padova, I-35131 Padova, Italy  T. Morii  Kavli Institute for
the Physics and Mathematics of the Universe (WPI), University of Tokyo,
Kashiwa 277-8583, Japan  H.-G. Moser  Max-Planck-Institut für Physik, 80805
München, Germany  M. Mrvar  Institute of High Energy Physics, Vienna 1050,
Austria  F. Mueller  Max-Planck-Institut für Physik, 80805 München, Germany
F. J. Müller  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  Th.
Muller  Institut für Experimentelle Teilchenphysik, Karlsruher Institut für
Technologie, 76131 Karlsruhe, Germany  G. Muroyama  Graduate School of
Science, Nagoya University, Nagoya 464-8602, Japan  C. Murphy  Kavli Institute
for the Physics and Mathematics of the Universe (WPI), University of Tokyo,
Kashiwa 277-8583, Japan  R. Mussa  INFN Sezione di Torino, I-10125 Torino,
Italy  K. Nakagiri  High Energy Accelerator Research Organization (KEK),
Tsukuba 305-0801, Japan  I. Nakamura  High Energy Accelerator Research
Organization (KEK), Tsukuba 305-0801, Japan  The Graduate University for
Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  K. R. Nakamura  High
Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The
Graduate University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan
E. Nakano  Osaka City University, Osaka 558-8585, Japan  M. Nakao  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate
University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  H.
Nakayama  High Energy Accelerator Research Organization (KEK), Tsukuba
305-0801, Japan  The Graduate University for Advanced Studies (SOKENDAI),
Hayama 240-0193, Japan  H. Nakazawa  Department of Physics, National Taiwan
University, Taipei 10617, Taiwan  T. Nanut  J. Stefan Institute, 1000
Ljubljana, Slovenia  Z. Natkaniec  H. Niewodniczanski Institute of Nuclear
Physics, Krakow 31-342, Poland  A. Natochii  University of Hawaii, Honolulu,
Hawaii 96822, U.S.A.  M. Nayak  Tel Aviv University, School of Physics and
Astronomy, Tel Aviv, 69978, Israel  G. Nazaryan  Alikhanyan National Science
Laboratory, Yerevan 0036, Armenia  D. Neverov  Graduate School of Science,
Nagoya University, Nagoya 464-8602, Japan  C. Niebuhr  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  M. Niiyama  Kyoto Sangyo
University, Kyoto 603-8555, Japan  J. Ninkovic  Semiconductor Laboratory of
the Max Planck Society, 81739 München, Germany  N. K. Nisar  Brookhaven
National Laboratory, Upton, New York 11973, U.S.A.  S. Nishida  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate
University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  K.
Nishimura  University of Hawaii, Honolulu, Hawaii 96822, U.S.A.  M. Nishimura
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
M. H. A. Nouxman  National Centre for Particle Physics, University Malaya,
50603 Kuala Lumpur, Malaysia  B. Oberhof  INFN Laboratori Nazionali di
Frascati, I-00044 Frascati, Italy  K. Ogawa  Niigata University, Niigata
950-2181, Japan  S. Ogawa  Toho University, Funabashi 274-8510, Japan  S. L.
Olsen  Gyeongsang National University, Jinju 52828, South Korea  Y. Onishchuk
Taras Shevchenko National Univ. of Kiev, Kiev, Ukraine  H. Ono  Niigata
University, Niigata 950-2181, Japan  Y. Onuki  Department of Physics,
University of Tokyo, Tokyo 113-0033, Japan  P. Oskin  P.N. Lebedev Physical
Institute of the Russian Academy of Sciences, Moscow 119991, Russian
Federation  E. R. Oxford  Carnegie Mellon University, Pittsburgh, Pennsylvania
15213, U.S.A.  H. Ozaki  High Energy Accelerator Research Organization (KEK),
Tsukuba 305-0801, Japan  The Graduate University for Advanced Studies
(SOKENDAI), Hayama 240-0193, Japan  P. Pakhlov  P.N. Lebedev Physical
Institute of the Russian Academy of Sciences, Moscow 119991, Russian
Federation  Moscow Physical Engineering Institute, Moscow 115409, Russian
Federation  G. Pakhlova  Higher School of Economics (HSE), Moscow 101000,
Russian Federation  P.N. Lebedev Physical Institute of the Russian Academy of
Sciences, Moscow 119991, Russian Federation  A. Paladino  Dipartimento di
Fisica, Università di Pisa, I-56127 Pisa, Italy  INFN Sezione di Pisa, I-56127
Pisa, Italy  T. Pang  University of Pittsburgh, Pittsburgh, Pennsylvania
15260, U.S.A.  A. Panta  University of Mississippi, University, Mississippi
38677, U.S.A.  E. Paoloni  Dipartimento di Fisica, Università di Pisa, I-56127
Pisa, Italy  INFN Sezione di Pisa, I-56127 Pisa, Italy  S. Pardi  INFN Sezione
di Napoli, I-80126 Napoli, Italy  C. Park  Yonsei University, Seoul 03722,
South Korea  H. Park  Kyungpook National University, Daegu 41566, South Korea
S.-H. Park  Yonsei University, Seoul 03722, South Korea  B. Paschen
University of Bonn, 53115 Bonn, Germany  A. Passeri  INFN Sezione di Roma Tre,
I-00146 Roma, Italy  A. Pathak  University of Louisville, Louisville, Kentucky
40292, U.S.A.  S. Patra  Indian Institute of Science Education and Research
Mohali, SAS Nagar, 140306, India  S. Paul  Department of Physics, Technische
Universität München, 85748 Garching, Germany  T. K. Pedlar  Luther College,
Decorah, Iowa 52101, U.S.A.  I. Peruzzi  INFN Laboratori Nazionali di
Frascati, I-00044 Frascati, Italy  R. Peschke  University of Hawaii, Honolulu,
Hawaii 96822, U.S.A.  R. Pestotnik  J. Stefan Institute, 1000 Ljubljana,
Slovenia  M. Piccolo  INFN Laboratori Nazionali di Frascati, I-00044 Frascati,
Italy  L. E. Piilonen  Virginia Polytechnic Institute and State University,
Blacksburg, Virginia 24061, U.S.A.  P. L. M. Podesta-Lerma  Universidad
Autonoma de Sinaloa, Sinaloa 80000, Mexico  G. Polat  Aix Marseille
Université, CNRS/IN2P3, CPPM, 13288 Marseille, France  V. Popov  Higher School
of Economics (HSE), Moscow 101000, Russian Federation  C. Praz  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  E. Prencipe  Forschungszentrum
Jülich, 52425 Jülich, Germany  M. T. Prim  University of Bonn, 53115 Bonn,
Germany  M. V. Purohit  Okinawa Institute of Science and Technology, Okinawa
904-0495, Japan  N. Rad  Deutsches Elektronen–Synchrotron, 22607 Hamburg,
Germany  P. Rados  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany
R. Rasheed  Université de Strasbourg, CNRS, IPHC, UMR 7178, 67037 Strasbourg,
France  M. Reif  Max-Planck-Institut für Physik, 80805 München, Germany  S.
Reiter  Justus-Liebig-Universität Gießen, 35392 Gießen, Germany  M. Remnev
Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090, Russian
Federation  Novosibirsk State University, Novosibirsk 630090, Russian
Federation  P. K. Resmi  Indian Institute of Technology Madras, Chennai
600036, India  I. Ripp-Baudot  Université de Strasbourg, CNRS, IPHC, UMR 7178,
67037 Strasbourg, France  M. Ritter  Ludwig Maximilians University, 80539
Munich, Germany  M. Ritzert  University of Heidelberg, 68131 Mannheim, Germany
G. Rizzo  Dipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy
INFN Sezione di Pisa, I-56127 Pisa, Italy  L. B. Rizzuto  J. Stefan Institute,
1000 Ljubljana, Slovenia  S. H. Robertson  McGill University, Montréal,
Québec, H3A 2T8, Canada  Institute of Particle Physics (Canada), Victoria,
British Columbia V8W 2Y2, Canada  D. Rodríguez Pérez  Universidad Autonoma de
Sinaloa, Sinaloa 80000, Mexico  J. M. Roney  University of Victoria, Victoria,
British Columbia, V8W 3P6, Canada  Institute of Particle Physics (Canada),
Victoria, British Columbia V8W 2Y2, Canada  C. Rosenfeld  University of South
Carolina, Columbia, South Carolina 29208, U.S.A.  A. Rostomyan  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  N. Rout  Indian Institute of
Technology Madras, Chennai 600036, India  M. Rozanska  H. Niewodniczanski
Institute of Nuclear Physics, Krakow 31-342, Poland  G. Russo  Dipartimento di
Scienze Fisiche, Università di Napoli Federico II, I-80126 Napoli, Italy  INFN
Sezione di Napoli, I-80126 Napoli, Italy  D. Sahoo  Tata Institute of
Fundamental Research, Mumbai 400005, India  Y. Sakai  High Energy Accelerator
Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate University
for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  D. A. Sanders
University of Mississippi, University, Mississippi 38677, U.S.A.  S. Sandilya
University of Cincinnati, Cincinnati, Ohio 45221, U.S.A.  A. Sangal
University of Cincinnati, Cincinnati, Ohio 45221, U.S.A.  L. Santelj  Faculty
of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
J. Stefan Institute, 1000 Ljubljana, Slovenia  P. Sartori  Dipartimento di
Fisica e Astronomia, Università di Padova, I-35131 Padova, Italy  INFN Sezione
di Padova, I-35131 Padova, Italy  J. Sasaki  Department of Physics, University
of Tokyo, Tokyo 113-0033, Japan  Y. Sato  Department of Physics, Tohoku
University, Sendai 980-8578, Japan  V. Savinov  University of Pittsburgh,
Pittsburgh, Pennsylvania 15260, U.S.A.  B. Scavino  Johannes Gutenberg-
Universität Mainz, Institut für Kernphysik, D-55099 Mainz, Germany  M. Schram
Pacific Northwest National Laboratory, Richland, Washington 99352, U.S.A.  H.
Schreeck  II. Physikalisches Institut, Georg-August-Universität Göttingen,
37073 Göttingen, Germany  J. Schueler  University of Hawaii, Honolulu, Hawaii
96822, U.S.A.  C. Schwanda  Institute of High Energy Physics, Vienna 1050,
Austria  A. J. Schwartz  University of Cincinnati, Cincinnati, Ohio 45221,
U.S.A.  B. Schwenker  II. Physikalisches Institut, Georg-August-Universität
Göttingen, 37073 Göttingen, Germany  R. M. Seddon  McGill University,
Montréal, Québec, H3A 2T8, Canada  Y. Seino  Niigata University, Niigata
950-2181, Japan  A. Selce  Università di Roma “La Sapienza,” I-00185 Roma,
Italy  INFN Sezione di Roma, I-00185 Roma, Italy  K. Senyo  Yamagata
University, Yamagata 990-8560, Japan  I. S. Seong  University of Hawaii,
Honolulu, Hawaii 96822, U.S.A.  J. Serrano  Aix Marseille Université,
CNRS/IN2P3, CPPM, 13288 Marseille, France  M. E. Sevior  School of Physics,
University of Melbourne, Victoria 3010, Australia  C. Sfienti  Johannes
Gutenberg-Universität Mainz, Institut für Kernphysik, D-55099 Mainz, Germany
V. Shebalin  University of Hawaii, Honolulu, Hawaii 96822, U.S.A.  C. P. Shen
Beihang University, Beijing 100191, China  H. Shibuya  Toho University,
Funabashi 274-8510, Japan  J.-G. Shiu  Department of Physics, National Taiwan
University, Taipei 10617, Taiwan  B. Shwartz  Budker Institute of Nuclear
Physics SB RAS, Novosibirsk 630090, Russian Federation  Novosibirsk State
University, Novosibirsk 630090, Russian Federation  A. Sibidanov  University
of Victoria, Victoria, British Columbia, V8W 3P6, Canada  F. Simon  Max-
Planck-Institut für Physik, 80805 München, Germany  J. B. Singh  Panjab
University, Chandigarh 160014, India  S. Skambraks  Max-Planck-Institut für
Physik, 80805 München, Germany  K. Smith  School of Physics, University of
Melbourne, Victoria 3010, Australia  R. J. Sobie  University of Victoria,
Victoria, British Columbia, V8W 3P6, Canada  Institute of Particle Physics
(Canada), Victoria, British Columbia V8W 2Y2, Canada  A. Soffer  Tel Aviv
University, School of Physics and Astronomy, Tel Aviv, 69978, Israel  A.
Sokolov  Institute for High Energy Physics, Protvino 142281, Russian
Federation  Y. Soloviev  Deutsches Elektronen–Synchrotron, 22607 Hamburg,
Germany  E. Solovieva  P.N. Lebedev Physical Institute of the Russian Academy
of Sciences, Moscow 119991, Russian Federation  S. Spataro  Dipartimento di
Fisica, Università di Torino, I-10125 Torino, Italy  INFN Sezione di Torino,
I-10125 Torino, Italy  B. Spruck  Johannes Gutenberg-Universität Mainz,
Institut für Kernphysik, D-55099 Mainz, Germany  M. Starič  J. Stefan
Institute, 1000 Ljubljana, Slovenia  S. Stefkova  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  Z. S. Stottler  Virginia
Polytechnic Institute and State University, Blacksburg, Virginia 24061, U.S.A.
R. Stroili  Dipartimento di Fisica e Astronomia, Università di Padova, I-35131
Padova, Italy  INFN Sezione di Padova, I-35131 Padova, Italy  J. Strube
Pacific Northwest National Laboratory, Richland, Washington 99352, U.S.A.  J.
Stypula  H. Niewodniczanski Institute of Nuclear Physics, Krakow 31-342,
Poland  M. Sumihama  Gifu University, Gifu 501-1193, Japan  Research Center
for Nuclear Physics, Osaka University, Osaka 567-0047, Japan  K. Sumisawa
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
The Graduate University for Advanced Studies (SOKENDAI), Hayama 240-0193,
Japan  T. Sumiyoshi  Tokyo Metropolitan University, Tokyo 192-0397, Japan  D.
J. Summers  University of Mississippi, University, Mississippi 38677, U.S.A.
W. Sutcliffe  University of Bonn, 53115 Bonn, Germany  K. Suzuki  Graduate
School of Science, Nagoya University, Nagoya 464-8602, Japan  S. Y. Suzuki
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
The Graduate University for Advanced Studies (SOKENDAI), Hayama 240-0193,
Japan  H. Svidras  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany
M. Tabata  Chiba University, Chiba 263-8522, Japan  M. Takahashi  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  M. Takizawa  Meson Science
Laboratory, Cluster for Pioneering Research, RIKEN, Saitama 351-0198, Japan
J-PARC Branch, KEK Theory Center, High Energy Accelerator Research
Organization (KEK), Tsukuba 305-0801, Japan  Showa Pharmaceutical University,
Tokyo 194-8543, Japan  U. Tamponi  INFN Sezione di Torino, I-10125 Torino,
Italy  S. Tanaka  High Energy Accelerator Research Organization (KEK), Tsukuba
305-0801, Japan  The Graduate University for Advanced Studies (SOKENDAI),
Hayama 240-0193, Japan  K. Tanida  Advanced Science Research Center, Japan
Atomic Energy Agency, Naka 319-1195, Japan  H. Tanigawa  Department of
Physics, University of Tokyo, Tokyo 113-0033, Japan  N. Taniguchi  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  Y. Tao
University of Florida, Gainesville, Florida 32611, U.S.A.  P. Taras
Université de Montréal, Physique des Particules, Montréal, Québec, H3C 3J7,
Canada  F. Tenchini  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany
D. Tonelli  INFN Sezione di Trieste, I-34127 Trieste, Italy  E. Torassa  INFN
Sezione di Padova, I-35131 Padova, Italy  K. Trabelsi  Université Paris-
Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France  T. Tsuboyama  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate
University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  N. Tsuzuki
Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan  M.
Uchida  Tokyo Institute of Technology, Tokyo 152-8550, Japan  I. Ueda  High
Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The
Graduate University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan
S. Uehara  High Energy Accelerator Research Organization (KEK), Tsukuba
305-0801, Japan  The Graduate University for Advanced Studies (SOKENDAI),
Hayama 240-0193, Japan  T. Ueno  Department of Physics, Tohoku University,
Sendai 980-8578, Japan  T. Uglov  P.N. Lebedev Physical Institute of the
Russian Academy of Sciences, Moscow 119991, Russian Federation  Higher School
of Economics (HSE), Moscow 101000, Russian Federation  K. Unger  Institut für
Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, 76131
Karlsruhe, Germany  Y. Unno  Department of Physics and Institute of Natural
Sciences, Hanyang University, Seoul 04763, South Korea  S. Uno  High Energy
Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  The Graduate
University for Advanced Studies (SOKENDAI), Hayama 240-0193, Japan  P. Urquijo
School of Physics, University of Melbourne, Victoria 3010, Australia  Y.
Ushiroda  High Energy Accelerator Research Organization (KEK), Tsukuba
305-0801, Japan  The Graduate University for Advanced Studies (SOKENDAI),
Hayama 240-0193, Japan  Department of Physics, University of Tokyo, Tokyo
113-0033, Japan  Y. Usov  Budker Institute of Nuclear Physics SB RAS,
Novosibirsk 630090, Russian Federation  Novosibirsk State University,
Novosibirsk 630090, Russian Federation  S. E. Vahsen  University of Hawaii,
Honolulu, Hawaii 96822, U.S.A.  R. van Tonder  University of Bonn, 53115 Bonn,
Germany  G. S. Varner  University of Hawaii, Honolulu, Hawaii 96822, U.S.A.
K. E. Varvell  School of Physics, University of Sydney, New South Wales 2006,
Australia  A. Vinokurova  Budker Institute of Nuclear Physics SB RAS,
Novosibirsk 630090, Russian Federation  Novosibirsk State University,
Novosibirsk 630090, Russian Federation  L. Vitale  Dipartimento di Fisica,
Università di Trieste, I-34127 Trieste, Italy  INFN Sezione di Trieste,
I-34127 Trieste, Italy  V. Vorobyev  Budker Institute of Nuclear Physics SB
RAS, Novosibirsk 630090, Russian Federation  P.N. Lebedev Physical Institute
of the Russian Academy of Sciences, Moscow 119991, Russian Federation
Novosibirsk State University, Novosibirsk 630090, Russian Federation  A.
Vossen  Duke University, Durham, North Carolina 27708, U.S.A.  E. Waheed  High
Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan  H. M.
Wakeling  McGill University, Montréal, Québec, H3A 2T8, Canada  K. Wan
Department of Physics, University of Tokyo, Tokyo 113-0033, Japan  W. Wan
Abdullah  National Centre for Particle Physics, University Malaya, 50603 Kuala
Lumpur, Malaysia  B. Wang  Max-Planck-Institut für Physik, 80805 München,
Germany  C. H. Wang  National United University, Miao Li 36003, Taiwan  M.-Z.
Wang  Department of Physics, National Taiwan University, Taipei 10617, Taiwan
X. L. Wang  Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)
and Institute of Modern Physics, Fudan University, Shanghai 200443, China  A.
Warburton  McGill University, Montréal, Québec, H3A 2T8, Canada  M. Watanabe
Niigata University, Niigata 950-2181, Japan  S. Watanuki  Université Paris-
Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France  I. Watson  Department of
Physics, University of Tokyo, Tokyo 113-0033, Japan  J. Webb  School of
Physics, University of Melbourne, Victoria 3010, Australia  S. Wehle
Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany  M. Welsch
University of Bonn, 53115 Bonn, Germany  C. Wessel  University of Bonn, 53115
Bonn, Germany  J. Wiechczynski  INFN Sezione di Pisa, I-56127 Pisa, Italy  P.
Wieduwilt  II. Physikalisches Institut, Georg-August-Universität Göttingen,
37073 Göttingen, Germany  H. Windel  Max-Planck-Institut für Physik, 80805
München, Germany  E. Won  Korea University, Seoul 02841, South Korea  L. J. Wu
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049,
China  X. P. Xu  Soochow University, Suzhou 215006, China  B. Yabsley  School
of Physics, University of Sydney, New South Wales 2006, Australia  S. Yamada
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
W. Yan  University of Science and Technology of China, Hefei 230026, China  S.
B. Yang  Korea University, Seoul 02841, South Korea  H. Ye  Deutsches
Elektronen–Synchrotron, 22607 Hamburg, Germany  J. Yelton  University of
Florida, Gainesville, Florida 32611, U.S.A.  I. Yeo  Korea Institute of
Science and Technology Information, Daejeon 34141, South Korea  J. H. Yin
Korea University, Seoul 02841, South Korea  M. Yonenaga  Tokyo Metropolitan
University, Tokyo 192-0397, Japan  Y. M. Yook  Institute of High Energy
Physics, Chinese Academy of Sciences, Beijing 100049, China  T. Yoshinobu
Niigata University, Niigata 950-2181, Japan  C. Z. Yuan  Institute of High
Energy Physics, Chinese Academy of Sciences, Beijing 100049, China  G. Yuan
University of Science and Technology of China, Hefei 230026, China  W. Yuan
INFN Sezione di Padova, I-35131 Padova, Italy  Y. Yusa  Niigata University,
Niigata 950-2181, Japan  L. Zani  Aix Marseille Université, CNRS/IN2P3, CPPM,
13288 Marseille, France  J. Z. Zhang  Institute of High Energy Physics,
Chinese Academy of Sciences, Beijing 100049, China  Y. Zhang  University of
Science and Technology of China, Hefei 230026, China  Z. Zhang  University of
Science and Technology of China, Hefei 230026, China  V. Zhilich  Budker
Institute of Nuclear Physics SB RAS, Novosibirsk 630090, Russian Federation
Novosibirsk State University, Novosibirsk 630090, Russian Federation  Q. D.
Zhou  Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan
Institute for Advanced Research, Nagoya University, Nagoya 464-8602, Japan  X.
Y. Zhou  Beihang University, Beijing 100191, China  V. I. Zhukova  P.N.
Lebedev Physical Institute of the Russian Academy of Sciences, Moscow 119991,
Russian Federation  V. Zhulanov  Budker Institute of Nuclear Physics SB RAS,
Novosibirsk 630090, Russian Federation  Novosibirsk State University,
Novosibirsk 630090, Russian Federation  A. Zupanc  J. Stefan Institute, 1000
Ljubljana, Slovenia

###### Abstract

Tag-side reconstruction is an important method for reconstructing $B$ meson
decays with missing energy. The Belle II tag-side reconstruction algorithm,
Full Event Interpretation, relies on a hierarchical reconstruction of $B$
meson decays with multivariate classification employed at each stage of
reconstruction. Given the large numbers of classifiers employed and decay
chains reconstructed, the performance of the algorithm on data and simulation
differs significantly. Here, calibration factors are derived for hadronic tag-
side $B$ decays by measuring a signal side decay, $B\rightarrow X\ell\nu$, in
$34.6$ fb-1 of Belle II data. For a very loose selection on the tag-side $B$
multivariate classifier, the calibration factors are $0.65\pm 0.02$ and
$0.83\pm 0.03$ for tag-side $B^{+}$ and $B^{0}$ mesons, respectively.

Belle II, …

##  1 Introduction

The Belle II experiment ref:b2tip  is an $e^{+}e^{-}$ collider experiment in
Japan, which began its main physics runs in early 2019 and has collected $74$
fb-1 of data at a centre-of-mass (CM) energy, $\sqrt{s}$, corresponding to the
mass of the $\mathchar 28935\relax(4S)$ resonance. The clean environment of
$e^{+}e^{-}$ collisions together with the unique event topology of Belle II,
in which an $\mathchar 28935\relax(4S)$ meson is produced and subsequently
decays in a pair of $B$ mesons, allows a wide range of physics measurements to
be performed that are difficult or impossible at hadron colliders. In
particular, measurements in which there is missing energy, which includes
semileptonic decays with missing neutrinos, can benefit substantially from the
additional constraints provided by the collision environment of Belle II. This
includes the measurement of the ratio of branching fractions,
$R(D^{*})=\mathcal{B}(B\rightarrow D^{(*)}\tau\nu)/\mathcal{B}(B\rightarrow
D^{(*)}\ell\nu)$, inclusive determinations of the CKM matrix elements
$|V_{ub}|$ and $|V_{cb}|$ from $B\rightarrow X_{u/c}\ell\nu$ decays and
searches for the rare decay $B\rightarrow K^{*}\nu\bar{\nu}$.

Full Event Interpretation Keck:2018lcd  is an algorithm for tag-side $B$ meson
reconstruction at Belle II. The algorithm utilises a hierarchical
reconstruction of exclusive decay chains of $B$ mesons, with multivariate
classifiers utilised to identify each unique sub-decay channel. Given the
large number of decay chains reconstructed and multivariate classifiers
employed, there can be significant differences between the tag-side
reconstruction efficiency in simulation and data. In order to correct for
this, a calibration can be performed by measuring a decay with a well known
branching fraction and sufficient available statistics after selection. A
suitable choice, given the current Belle II dataset, is inclusive
$B\rightarrow X\ell\nu$ decays due to their substantial branching fraction of
$\sim$$20$%.

##  2 Detector and simulation

The Belle II detector Abe:2010sj ; ref:b2tip  operates at the SuperKEKB
asymmetric-energy electron-positron collider superkekb , located at the KEK
laboratory in Tsukuba, Japan. The detector consists of several nested detector
subsystems arranged around the beam pipe in a cylindrical geometry.

The innermost subsystem is the vertex detector, which includes two layers of
silicon pixel detectors and four outer layers of silicon strip detectors.
Currently, the second pixel layer is installed in only a small part of the
solid angle, while the remaining vertex detector layers are fully installed.
Most of the tracking volume consists of a helium- and ethane-based small-cell
drift chamber.

Outside the drift chamber, a Cherenkov-light imaging and time-of-propagation
detector provides charged-particle identification in the barrel region. In the
forward endcap, this function is provided by a proximity-focusing, ring-
imaging Cherenkov detector with an aerogel radiator. Further out is an
electromagnetic calorimeter, consisting of a barrel and two endcap sections
made of CsI(Tl) crystals. A uniform 1.5 T magnetic field is provided by a
superconducting solenoid situated outside the calorimeter. Multiple layers of
scintillators and resistive plate chambers, located between the magnetic flux-
return iron plates, constitute the $K_{L}$ and muon identification system.

The data used in this analysis were collected at a CM energy, $\sqrt{s}$, of
10.58 GeV, corresponding to the mass of the $\mathchar 28935\relax$(4S)
resonance. The energies of the electron and positron beams are
$7\mathrm{\,Ge\kern-1.00006ptV}$ and $4\mathrm{\,Ge\kern-1.00006ptV}$,
respectively, resulting in a boost of $\beta\gamma=0.28$ of the CM frame
relative to the lab frame. The integrated luminosity of the data is
$34.6~{}{\rm fb}^{-1}$. In addition, a smaller sample of $3.23$ fb-1 off-
resonance data was collected at a CM energy of $10.52$ GeV.

The analysis utilises several samples of simulated events. These include a
sample of $e^{+}e^{-}\rightarrow(\mathchar 28935\relax(4S)\rightarrow
B\bar{B})$ with generic $B$-meson decays, generated with EvtGen Lange:2001uf ,
and corresponding to an integrated luminosity of 100 ${\rm fb}^{-1}$. A 100
${\rm fb}^{-1}$ sample of continuum $e^{+}e^{-}\rightarrow
q\bar{q}~{}(q=u,d,s,c)$ is simulated with KKMC ref:kkmc  interfaced with
PYTHIA Sjostrand:2007gs . All data samples were analyzed (and, for Monte Carlo
(MC) events, generated and simulated) in the basf2 basf2  framework.

##  3 The Algorithm

The Full Event Interpretation employs a hierarchical reconstruction of
exclusive $B$ meson decay chains, in which each unique decay channel of a
particle has its own designated multivariate classifier. The algorithm
utilises several stages of reconstruction, which are shown in Fig. 1. The
algorithm starts by selecting candidates for stable particles, which include
muons, electrons, pions, kaons, protons and photons, from tracks and EM
clusters in the event. Subsequently, the algorithm carries out several stages
of reconstruction of intermediate particles such as $\pi^{0}$, $K^{0}_{S}$,
${J\mskip-3.0mu/\mskip-2.0mu\psi\mskip 2.0mu}$, $D$ and $D^{*}$ mesons and, in
addition, $\mathchar 28934\relax$, $\mathchar 28931\relax$ and $\mathchar
28931\relax_{c}$ baryons. The addition of baryonic modes is a recent extension
of the algorithm. Intermediate particles are reconstructed in specific decay
modes from a combination of stable and other intermediate particle candidates.
The final stage of the algorithm reconstructs the $B^{+}$ and $B^{0}$ mesons
in 36 (8) and 31 (8) hadronic (semileptonic) modes.

Tracks Displaced Vertices Neutral Clusters
$\mathup{{{\pi}}^{\scriptstyle{0}}}$
$\mathup{{{K}}{}_{\scriptstyle{L}}^{\scriptstyle{0}}}$
$\mathup{{{K}}{}_{\scriptstyle{S}}^{\scriptstyle{0}}}$
$\mathup{{{\pi}}^{\scriptstyle{+}}}$ $\mathup{{{e}}^{\scriptstyle{+}}}$
$\mathup{{{\mu}}^{\scriptstyle{+}}}$ $\mathup{{{K}}^{\scriptstyle{+}}}$ $p$
$\mathchar 28934\relax+$ $\mathup{{{\gamma}}}$
$\mathup{{{D}}^{\scriptstyle{\ast}}}^{0}\
\mathup{{{D}}^{\scriptstyle{\ast}}}^{+}\
\mathup{{{D}}{}_{\scriptstyle{s}}^{\scriptstyle{\ast}}}$
$\mathup{{{B}}^{\scriptstyle{0}}}\ \mathup{{{B}}^{\scriptstyle{+}}}$
$\mathup{{{D}}^{\scriptstyle{0}}}\ \mathup{{{D}}^{\scriptstyle{+}}}\
\mathup{{{D}}{}_{\scriptstyle{s}}}$ $\mathchar 28931\relax_{c}$
$\mathup{{{J\mspace{-2.0mu}/\mspace{-2.0mu}\psi}}}$ $\mathchar 28931\relax$
$\mathup{{{K}}{}_{\scriptstyle{S}}^{\scriptstyle{0}}}$ Figure 1: The stages of
reconstruction employed by Full Event Interpretation.

(a)

(b)

Figure 2: (a) Comparison of the distribution of $\log\mathcal{P_{\rm tag}}$ in
early Belle II data to the shape expectation from simulation. Here,
$\log\mathcal{P_{\rm tag}}$ is the logarithm of the tag-side $B^{+}$ meson
classifier output, $\mathcal{P_{\rm tag}}$. Reference selection criteria of
$\mathcal{P_{\rm tag}}>0.1$ and $\mathcal{P_{\rm tag}}>0.5$ are illustrated.
(b) Fits to the beam-constrained-mass, $M_{\rm bc}$, distribution of
reconstructed $B^{+}$ (top) and $B^{0}$ (bottom) tag-side $B$ mesons in data.
A looser selection criteria of $\mathcal{P_{\rm tag}}>0.1$ (left) and a
tighter selection criteria of $\mathcal{P_{\rm tag}}>0.5$ (right) are applied
on the $B$ meson classifier $\mathcal{P_{\rm tag}}$ to select samples with
different levels of purity.

Each stage consists of pre-reconstruction and post-reconstruction steps. In
the pre-reconstruction step, candidates for particles are reconstructed, an
inital pre-selection is applied and a best candidate selection is made on a
discriminating variable. Subsequently, in the post-reconstruction step, vertex
fits are performed where applicable, pre-trained classifiers are applied and a
best-candidate selection is made on the classifier output. Classifiers for
stable particles utilise kinematic and particle identification information as
features; meanwhile, intermediate and $B$ classifiers utilise the kinematic
information from all daughters, daughter classifier outputs and information
from vertex fits as features.

The algorithm requires a training procedure, in which all of the particle
classifiers are trained. For the calibration studies performed here, the
training was performed on simulated $\mathchar 28935\relax(4S)\rightarrow
B\bar{B}$ events corresponding to an integrated luminosity of $100$ fb-1. The
training of the algorithm utilises an equivalent reconstruction procedure to
produce training datasets for each particle decay channel classifier.

Subsequently, the tag-side $B$ classifier, $\mathcal{P_{\rm tag}}$, can be
used to select a pure sample of correctly reconstructed tag-side $B$ mesons.
This is demonstrated in Fig. 2, which shows fits to the beam constrained mass
distribution, $M_{\rm bc}=\sqrt{E^{2}_{\rm beam}-(p^{\rm CM}_{\rm tag})^{2}}$,
for reconstructed tag-side $B^{0}$ and $B^{+}$ mesons, for selections
requiring $\mathcal{P_{\rm tag}}$ to be greater than 0.1 and 0.5. The
contribution from correctly reconstructed tag-side $B$ mesons is parametrised
by a Crystal Ball function Skwarnicki:1986xj ; backgrounds from
$e^{+}e^{-}\rightarrow q\bar{q}$ and incorrectly reconstructed $B$ mesons are
modelled with an Argus function Albrecht:1990am . By applying a tighter
selection on the classifier output, a higher purity sample of tag-side $B$
mesons can be selected with the sacrifice of a lower tag-side efficiency,
which is proportional to the yield of correctly reconstructed tag-side $B$
mesons.

##  4 Selection

The selection process begins by requiring that there is at most one tag-side
$B$ meson candidate in each event. This is achieved by selecting the tag-side
candidate with the highest tag-side $B$ classifier output, $\mathcal{P_{\rm
tag}}$. For correctly reconstructed tags, the beam energy difference, $\Delta
E$, should peak around $0$ with some mode-dependent resolution, which is
asymmetric with a skew towards lower values for modes containing
$\pi^{0}\rightarrow\gamma\gamma$ decays. Therefore, an asymmetric requirement
of $-0.15<\Delta E<0.1$ GeV is placed on the beam energy difference. To reduce
background from $e^{+}e^{-}\rightarrow q\bar{q}$ events, a requirement on the
event-level-normalised second Fox-Wolfram moment to be less than 0.3 is made.
Fig. 3 shows a breakdown of the $M_{bc}$ distribution in data into several
categories of tag-side decay mode after the above selection and the loose
purity requirement that $\mathcal{P_{\rm tag}}>0.01$. The dominant tag-side
decay mode categories are $D\pi$, $D^{*}\pi$, $Dn\pi$ and $D^{*}n\pi$. The
recently added baryonic modes result in a small increase in the tag-side
efficiency, boosting the number of correctly reconstructed tag-side $B$ mesons
by roughly 3% (2%) for tag-side $B^{+}$ ($B^{0}$) mesons. The final selection
applied to the tag-side candidate, is a requirement that $M_{bc}$ is greater
than 5.27 GeV/$c^{2}$, which selects the region containing correctly
reconstructed tag-side $B$ mesons as can be seen in Fig. 2.

Figure 3: Contribution of different tag-side decay modes to the $M_{\rm bc}$
distribution in data for $B^{+}$ (left) and $B^{0}$ (right) parents for
$\mathcal{P_{\rm tag}}>0.01$. Contributions from the newly added baryonic
modes can also be seen.

After the tag-side selection, the signal-side selection is applied. In
particular, a lepton is selected with $p^{*}_{\ell}>1$ GeV/$c$, where
$p^{*}_{\ell}$ refers to the momentum of the lepton in the rest frame of the
signal-side $B$ meson, which can be determined using the four-momentum of the
recoiling tag-side $B$ meson. The distance of closest approach between each
track and the interaction point is required to be less than 2 cm along the $z$
direction (parallel to the beams) and less than 0.5 cm in the transverse
$r-\phi$ plane. Particle identification information from several sub-
detectors, including Cherenkov time of propagation (TOP), Aerogel ring imaging
Cherenkov and dedicated muon detectors, is combined into a likelihood for each
of electron and muon hypotheses in order to select each lepton species. The
selection on $p^{*}_{\ell}$ to be greater than $1$ GeV/$c$ was motivated by
the fact that lepton identification performance is found to degrade
significantly below $1$ GeV/$c$.

##  5 Calibration procedure

The calibration factor is defined as $\epsilon=N^{\rm Data}_{X\ell\nu}/N^{\rm
MC}_{X\ell\nu}$, where the yield of $B\rightarrow X\ell\nu$ decays in data,
$N^{\rm Data}_{X\ell\nu}$, is determined by fitting the $p^{*}_{\ell}$
distribution and the expected yield, $N^{\rm MC}_{X\ell\nu}$, is determined
using MC simulation.

The fitting procedure maximises a binned likelihood, $\mathcal{L}$, defined by
the following equation,

$\begin{split}-2\log\mathcal{L}=-2\log\prod_{i}{\rm P}(\nu^{\rm
obs}_{i}|\nu^{\rm exp}_{i})+\theta^{T}\mathchar
28934\relax^{-1}_{\theta}\theta^{T}+(k-k_{\rm constraints})^{T}\mathchar
28934\relax^{-1}_{\rm constraints}(k-k_{\rm constraints})\;,\end{split}$ (1)

where the probability to observe $\nu^{\rm obs}_{i}$ events in bin $i$ of
$p^{*}_{\ell}$ given that $\nu^{\rm exp}_{i}$ events were expected is ${\rm
P}(\nu^{\rm obs}_{i}|\nu^{\rm exp}_{i})$ and is governed by a Poisson
distribution. Here, $\nu^{\rm exp}_{i}$, is given by

$\begin{split}\nu^{\rm
exp}_{i}=\sum_{j}\nu^{j}\frac{p^{j}_{i}(1+\theta^{j}_{i})}{\sum_{k}p^{j}_{k}(1+\theta^{j}_{k})}\;,\end{split}$
(2)

where $p^{j}_{i}$ defines the probability for an event of process type $j$ to
have a reconstructed value of $p^{*}_{\ell}$ in bin $i$. The nuisance
parameters, $\theta^{j}_{i}$, account for both MC template statistics and
additional systematic effects. The associated bin-to-bin correlations arising
from systematic uncertainties are accounted for in the covariance matrix,
$\mathchar 28934\relax_{\theta}$.

Figure 4: Fits to $p^{*}_{\ell}$ in data for charged (top) and neutral
(bottom) tag-side $B$ mesons combined either with electron (left) or muon
(right) signal-side $B\rightarrow X\ell\nu$ decays.

The fit has three yields associated with three probability density functions
(pdfs), which describe the $B\rightarrow X\ell\nu$ signal decays, background
from $e^{+}e^{-}\rightarrow q\bar{q}$ events, and background in which the
lepton is fake or secondary. “Secondary” here refers to the situation in which
the lepton is not produced directly in the decay of the $B$ meson but rather
through a secondary cascade decay of a charmed meson. Meanwhile, “Fake” refers
to the case in which a hadron is mis-reconstructed as a lepton. The
$B\rightarrow X\ell\nu$ signal pdf has four sub-components, which include
$B\rightarrow D^{*}\ell\nu$, $B\rightarrow D\ell\nu$, $B\rightarrow
X_{u}\ell\nu$ and any remaining $B\rightarrow X_{c}\ell\nu$ decays
($B\rightarrow D^{**}\ell\nu$ and $B\rightarrow D^{(*)}n\pi\ell\nu$). The
relative contributions of these four components are parametrised by three
fractions ($f_{D}$, $f_{D^{*}}$ and $f_{X_{u}}$).

The last term, $(k-k_{\rm constraints})^{T}\mathchar 28934\relax^{-1}_{\rm
constraints}(k-k_{\rm constraints})$, in Equation 1 allows for constraints on
parameters in the fit. The parameter vector $k=(N(e^{+}e^{-}\rightarrow
q\bar{q}),f_{D},f_{D^{*}},f_{X_{u}})$ contains the subset of fit parameters,
which are subject to constraints. The vector $k_{\rm constraints}$ contains
the corresponding nominal values to which these parameters are constrained.
The continuum yield, $N(e^{+}e^{-}\rightarrow q\bar{q})$, is constrained to
its expectation based on counting off-resonance events and scaling up to
account for luminosity. The constraints on the three fractions are obtained
from MC expectation after all branching fraction corrections are made.

Fit results for the channels $B^{+}e^{-}$, $B^{+}\mu^{-}$, $B^{0}e^{-}$ and
$B^{0}\mu^{-}$ with a selection of $\mathcal{P}>0.001$ are shown in Fig. 4. A
good agreement between data and the fitted models is observed across all
channels. Fig. 5 shows the $B^{+}\ell^{-}$ fit channels in the region where
$p^{*}_{\ell}>2$ GeV/$c$. In this region, the contribution from $B\rightarrow
X_{u}\ell\nu$ decays becomes evident due to the lower kinematic endpoint of
$B\rightarrow X_{c}\ell\nu$ decays. This allows one to better constrain the
albeit small contribution from $B\rightarrow X_{u}\ell\nu$ decays.

Figure 5: Fits to $p^{*}_{\ell}$ in data in the region $p^{*}_{\ell}>2$
GeV/$c$. This region is enhanced in $B\rightarrow X_{u}\ell\nu$ decays
relative to $B\rightarrow X_{c}\ell\nu$ decays due to the lower kinematic
endpoint for $B\rightarrow X_{c}\ell\nu$ decays.

##  6 Sources of systematic uncertainty

The calibration procedure is affected by a number of sources of systematic
uncertainty. These can influence the determination of the MC expected yield
(normalisation uncertainties) or the shapes of pdfs in the fitting procedure
(shape uncertainties).

We first discuss the estimation of systematic uncertainties for the MC
expected yield, $N^{\rm MC}_{X\ell\nu}$. The first source of systematic
uncertainty considered is that arising from the knowledge of the $B\rightarrow
X\ell\nu$ branching fractions. Several branching fractions of the
$B\rightarrow X\ell\nu$ decay modes, including $B\rightarrow D\ell\nu$,
$B\rightarrow D^{*}\ell\nu$ and $B\rightarrow X_{u}\ell\nu$, were first
corrected to their latest PDG values. After having applied these corrections,
the overall charged and neutral $B\rightarrow X\ell\nu$ branching fractions
were scaled to match those in the PDG: $\mathcal{B}(B^{+}\rightarrow
X\ell\nu)=10.99\pm 0.28$ and $\mathcal{B}(B^{0}\rightarrow X\ell\nu)=10.33\pm
0.28$. The corresponding uncertainties are treated as a source of systematic
uncertainty. In addition to correcting several branching fractions, the form
factors of $D\ell\nu$ and $D^{*}\ell\nu$ decays are updated to the BGL
parametrisations of Ref. Grinstein:2017nlq ; Bigi:2017njr , with the central
parameter values in Ref. Dstlnu . The associated uncertainties on the form
factor parameters of these parameterisations are propagated in the analysis
using one-sigma variations in an uncorrelated eigenbasis of form factor
parameters of the corresponding BGL parametrisations. The form factor
uncertainties can influence $N^{\rm MC}_{X\ell\nu}$ due to the selection of
$p^{*}_{\ell}>1$ GeV/$c$.

The next sources of uncertainty relate to tracking and particle
identification. Due to mismatches in the reconstruction of tracks between
simulation and data, a systematic error of 0.91% is assigned for the single
signal-side track. The performance of lepton identification also differs
between data and MC. Consequently, the lepton identifcation rates and
$\pi\rightarrow\ell$ and $K\rightarrow\ell$ fake rates are corrected in bins
of lepton momentum and polar angle using corrections derived from data samples
of $J/\psi\rightarrow\ell^{+}\ell^{-}$, $D^{*+}\rightarrow(D^{0}\rightarrow
K^{-}\pi^{+})\pi^{+}$ and $K^{0}_{S}\rightarrow\pi^{+}\pi^{-}$ decays. The
systematic uncertainty associated with these corrections is determined by
generating gaussian variations on these weights according to their systematic
and statistical uncertainties, while assuming that the systematic
uncertainties across bins are 100% correlated. The final considered source of
systematic uncertainty on $N^{\rm MC}_{X\ell\nu}$ is the statistical size of
the MC sample used to estimate $N^{\rm MC}_{X\ell\nu}$.

A number of systematic effects can impact the expected $p^{*}_{\ell}$
distribution from simulation. These include the Monte Carlo statistics, the
$B\rightarrow D^{(*)}\ell\nu$ form factors, lepton identification and the
composition of $B\rightarrow X\ell\nu$ decays. The uncertainty associated with
the composition of $B\rightarrow X\ell\nu$ is propagated into the fit through
the freedom of the $B\rightarrow X\ell\nu$ pdf to change according to
aforementioned sub-pdf fractions. A multivariate Gaussian constraint on these
fractions is estimated, which accounts for the PDG uncertainty on several
branching fraction updates and Monte Carlo statistics. Given that the
contribution from $B\rightarrow D^{**}\ell\nu$ and $B\rightarrow
D^{(*)}n\pi\ell\nu$ is not very well known, the overall branching fraction of
these transitions is assigned a 20% uncertainty.

The shape impact for the remaining systematic sources of uncertainty are
accounted for by using the nuisance parameters associated with each bin of a
sub-pdf. For each systematic source of uncertainty, $s$, a $N_{\rm dim}\times
N_{\rm dim}$ covariance matrix, $\mathchar 28934\relax_{s}$, is estimated,
where $N_{\rm dim}=N_{\rm bins}\times N_{\rm pdfs}$. For lepton
identification, $\mathchar 28934\relax_{\rm LID}$, is estimated by filling
histograms with each independent weight variation. Meanwhile, for the
$D^{(*)}$ form factors, $\mathchar 28934\relax_{D^{(*)}{\rm FF}}$ is estimated
by combining covariance matrices associated with one-sigma eigen-variations of
BGL form factor parameters. Lastly, for MC statistics, $\mathchar
28934\relax_{\rm MC}$ is determined using Poisson statistics and is purely
diagonal. The total covariance matrix $\mathchar
28934\relax_{\theta}=\sum_{s}\mathchar 28934\relax_{s}$ is used in the
nuisance parameter constraint term of Equation 1.

##  7 results

Final results for the calibration factors as determined from the fitted yields
are shown in Fig. 6. The corresponding numerical results are itemised in
Appendix A along with the simulated and fitted yields of $B\rightarrow
X\ell\nu$ decays. Calibration factors for tag-side $B^{0}$ and $B^{+}$ mesons
are found to agree well for both lepton channels with the $B^{+}$ and $B^{0}$
calibration factors ranging from $0.60$-$0.63$ and $0.70$-$0.83$,
respectively. For tag-side $B^{0}$ mesons, the calibration factors with a
looser selection on the tag-side $B$ classifier output,
$\mathcal{P}_{B^{0}_{\rm tag}}$, are generally observed to be higher. This
appears to be due to the fact that a looser cut increases the contribution of
certain modes in the lower purity region. The sources uncertainties for the
calibration factors are shown in Table 1 for the threshold of
$\mathcal{P}>0.001$. The dominant systematic uncertainty is associated with
the shape freedom in the fit, which ranges from $2$ to $4\%$, depending on the
channel. The next largest sources of uncertainty are those associated with
$\mathcal{B}(B^{+/0}\rightarrow X\ell\nu)$ ($2.1\%$) and tracking ($0.91\%$).

The calibration factors are subsequently averaged across lepton modes as
displayed in Table 2 and in Fig. 6. The averaging procedure uses a weighted
average, that accounts for the relative uncertainties and correlations of the
measurements. In particular, the uncertainties from tracking,
$\mathcal{B}(B^{+/0}\rightarrow X\ell\nu)$, and the $D^{(*)}\ell\nu$ form
factors are deemed to be 100% correlated.

(a)(b)

Figure 6: (a) Calibration factors for each of the different channels and different signal probability, $\mathcal{P}_{\rm tag}$, selection choices. Good agreement is seen between the muon and electron channels for the signal-side $B\rightarrow X\ell\nu$ decay. (b) $\epsilon^{\rm MC}_{\rm tag}\times\epsilon_{\rm cal}$ against purity for $\mathcal{P}_{\rm tag}>0.001$, $0.01$ and $0.1$ for $B^{0}$ and $B^{+}$ mesons. Channel | MC Stat. | $\mathcal{B}(B^{0/+}\rightarrow X\ell\nu)$ | Tracking |  $D\ell\nu$ FF | Lepton ID |  $D^{*}\ell\nu$ FF | Fit Stat. | Fit Model
---|---|---|---|---|---|---|---|---
$B^{+}e^{-}$ | 0.39 | 2.09 | 0.91 | 0.06 | 0.76 | 0.41 | 0.93 | 2.67
$B^{+}\mu^{-}$ | 0.37 | 2.1 | 0.91 | 0.06 | 2.13 | 0.38 | 0.86 | 2.93
$B^{0}e^{-}$ | 0.62 | 2.1 | 0.91 | 0.07 | 0.73 | 0.43 | 1.22 | 3.72
$B^{0}\mu^{-}$ | 0.6 | 2.09 | 0.91 | 0.06 | 2.13 | 0.41 | 1.19 | 3.17
Table 1: Itemisation of the percentage contribution from the sources of
uncertainty on the calibration factors for the selection $\mathcal{P}_{\rm
tag}>0.001$.

$B^{+}$ |  |
---|---|---
$\mathcal{P}_{\rm tag}$ $>$ | $\epsilon$ | uncertainty [%]
0.001 | $0.65\pm 0.02$ | 3.0
0.01 | $0.61\pm 0.02$ | 3.1
0.1 | $0.64\pm 0.02$ | 3.3

$B^{0}$ |  |
---|---|---
$\mathcal{P}_{\rm tag}$ $>$ | $\epsilon$ | uncertainty [%]
0.001 | $0.83\pm 0.03$ | 3.4
0.01 | $0.78\pm 0.03$ | 3.5
0.1 | $0.72\pm 0.03$ | 3.9

Table 2: Final calibration factors averaged over lepton type. A weighted
average taking into account the uncertainties and correlated systematics is
used.

The final calibration factors, $\epsilon_{\rm cal}$, in Table 2 can be applied
in order to correct the tag-side efficiency in simulation, $\epsilon^{\rm
MC}_{\rm tag}$. In Fig. 6 the corrected tag-side efficiency from simulation,
$\epsilon^{\rm MC}_{\rm tag}\times\epsilon_{\rm cal}$, is shown against
purity, for the $\mathcal{P}_{\rm tag}$ thresholds of $0.001$, $0.01$ and
$0.1$. Here, the tag-side efficiency, $\epsilon^{\rm MC}_{\rm tag}$, refers to
ratio of the number of events containing a correctly reconstructed tag-side
$B$ meson in the region $M_{bc}>5.27$ GeV/$c^{2}$ to the total number of
simulated $\mathchar 28935\relax(4S)\rightarrow B\bar{B}$ events. Meanwhile
the purity is the ratio of the number of events containing a correctly
reconstructed tag-side $B$ meson in this region to the number of events
containing a reconstructed tag-side $B$ meson.

##  8 Conclusions

At Belle II, hadronic tag-side reconstruction will be a critical part of the
physics program, allowing a number of challenging final states with missing
energy to be measured. This includes measurements of $R(D^{(*)})$ with
$B\rightarrow D^{(*)}\tau\nu$ decays, measurements of the CKM matrix elements
$|V_{ub}|$ and $|V_{cb}|$ using inclusive $B\rightarrow X_{c/u}\ell\nu$
transitions and searches for the rare decay $B\rightarrow K^{*}\nu\bar{\nu}$.

The Belle II experiment’s tag-side reconstruction algorithm, Full Event
Interpretation, relies on a hierarchical reconstruction of around 10000 $B$
meson decays with over 200 multivariate classifiers. In order to employ the
algorithm in a physics analysis, it is necessary to account for differences in
the performance of the algorithm between data and simulation. Here, first
calibration factors were derived in order to correct for these effects by
measuring a well-known signal side of $B\rightarrow X\ell\nu$ decays.
Calibration factors are determined for both $B^{0}$ and $B^{+}$ mesons for a
range of selections on the tag-side $B$ multivariate classifier. For a very
loose selection, the calibration factors are $0.653\pm 0.020$ and $0.830\pm
0.029$ for tag-side $B^{+}$ and $B^{0}$ mesons, respectively.

##  9 ACKNOWLEDGEMENTS

We thank the SuperKEKB group for the excellent operation of the accelerator;
the KEK cryogenics group for the efficient operation of the solenoid; and the
KEK computer group for on-site computing support. This work was supported by
the following funding sources: Science Committee of the Republic of Armenia
Grant No. 18T-1C180; Australian Research Council and research grant Nos.
DP180102629, DP170102389, DP170102204, DP150103061, FT130100303, and
FT130100018; Austrian Federal Ministry of Education, Science and Research, and
Austrian Science Fund No. P 31361-N36; Natural Sciences and Engineering
Research Council of Canada, Compute Canada and CANARIE; Chinese Academy of
Sciences and research grant No. QYZDJ-SSW-SLH011, National Natural Science
Foundation of China and research grant Nos. 11521505, 11575017, 11675166,
11761141009, 11705209, and 11975076, LiaoNing Revitalization Talents Program
under contract No. XLYC1807135, Shanghai Municipal Science and Technology
Committee under contract No. 19ZR1403000, Shanghai Pujiang Program under Grant
No. 18PJ1401000, and the CAS Center for Excellence in Particle Physics
(CCEPP); the Ministry of Education, Youth and Sports of the Czech Republic
under Contract No. LTT17020 and Charles University grants SVV 260448 and GAUK
404316; European Research Council, 7th Framework PIEF-GA-2013-622527, Horizon
2020 Marie Sklodowska-Curie grant agreement No. 700525 ‘NIOBE,’ and Horizon
2020 Marie Sklodowska-Curie RISE project JENNIFER2 grant agreement No. 822070
(European grants); L’Institut National de Physique Nucléaire et de Physique
des Particules (IN2P3) du CNRS (France); BMBF, DFG, HGF, MPG, AvH Foundation,
and Deutsche Forschungsgemeinschaft (DFG) under Germany’s Excellence Strategy
– EXC2121 “Quantum Universe”’ – 390833306 (Germany); Department of Atomic
Energy and Department of Science and Technology (India); Israel Science
Foundation grant No. 2476/17 and United States-Israel Binational Science
Foundation grant No. 2016113; Istituto Nazionale di Fisica Nucleare and the
research grants BELLE2; Japan Society for the Promotion of Science, Grant-in-
Aid for Scientific Research grant Nos. 16H03968, 16H03993, 16H06492, 16K05323,
17H01133, 17H05405, 18K03621, 18H03710, 18H05226, 19H00682, 26220706, and
26400255, the National Institute of Informatics, and Science Information
NETwork 5 (SINET5), and the Ministry of Education, Culture, Sports, Science,
and Technology (MEXT) of Japan; National Research Foundation (NRF) of Korea
Grant Nos. 2016R1D1A1B01010135, 2016R1D1A1B02012900, 2018R1A2B3003643,
2018R1A6A1A06024970, 2018R1D1A1B07047294, 2019K1A3A7A09033840, and
2019R1I1A3A01058933, Radiation Science Research Institute, Foreign Large-size
Research Facility Application Supporting project, the Global Science
Experimental Data Hub Center of the Korea Institute of Science and Technology
Information and KREONET/GLORIAD; Universiti Malaya RU grant, Akademi Sains
Malaysia and Ministry of Education Malaysia; Frontiers of Science Program
contracts FOINS-296, CB-221329, CB-236394, CB-254409, and CB-180023, and SEP-
CINVESTAV research grant 237 (Mexico); the Polish Ministry of Science and
Higher Education and the National Science Center; the Ministry of Science and
Higher Education of the Russian Federation, Agreement 14.W03.31.0026;
University of Tabuk research grants S-1440-0321, S-0256-1438, and S-0280-1439
(Saudi Arabia); Slovenian Research Agency and research grant Nos. J1-9124 and
P1-0135; Agencia Estatal de Investigacion, Spain grant Nos. FPA2014-55613-P
and FPA2017-84445-P, and CIDEGENT/2018/020 of Generalitat Valenciana; Ministry
of Science and Technology and research grant Nos. MOST106-2112-M-002-005-MY3
and MOST107-2119-M-002-035-MY3, and the Ministry of Education (Taiwan);
Thailand Center of Excellence in Physics; TUBITAK ULAKBIM (Turkey); Ministry
of Education and Science of Ukraine; the US National Science Foundation and
research grant Nos. PHY-1807007 and PHY-1913789, and the US Department of
Energy and research grant Nos. DE-AC06-76RLO1830, DE-SC0007983, DE-SC0009824,
DE-SC0009973, DE-SC0010073, DE-SC0010118, DE-SC0010504, DE-SC0011784, DE-
SC0012704; and the National Foundation for Science and Technology Development
(NAFOSTED) of Vietnam under contract No 103.99-2018.45.

## References

  * (1) E. Kou et al., The Belle II Physics Book, PTEP 2019 (2019) no. 12, 123C01.
  * (2) T. Keck et al., The Full Event Interpretation – An exclusive tagging algorithm for the Belle II experiment, Comput Softw Big Sci 3 (2019) 6.
  * (3) T. Abe et al., Belle II Collaboration, Belle II Technical Design Report, arXiv:1011.0352 [physics.ins-det].
  * (4) K. Akai, K. Furukawa, and H. Koiso, SuperKEKB Collaboration, SuperKEKB Collider, Nucl. Instrum. Meth. A907 (2018) 188–199.
  * (5) D. Lange, The EvtGen particle decay simulation package, Nucl. Instrum. Meth. A 462 (2001) 152–155.
  * (6) S. Jadach, B. F. L. Ward, and Z. Was, The Precision Monte Carlo event generator K K for two fermion final states in $e^{+}e^{-}$ collisions, Comput. Phys. Commun. 130 (2000) 260–325.
  * (7) T. Sjostrand, S. Mrenna, and P. Z. Skands, A Brief Introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852–867, arXiv:0710.3820 [hep-ph].
  * (8) T. Kuhr, C. Pulvermacher, M. Ritter, T. Hauth, and N. Braun, Belle-II Framework Software Group, The Belle II Core Software, Comput. Softw. Big Sci. 3 (2019) no. 1, 1, arXiv:1809.04299 [physics.comp-ph].
  * (9) T. Skwarnicki, A study of the radiative CASCADE transitions between the Upsilon-Prime and Upsilon resonances.  PhD thesis, Cracow, INP, 1986.
  * (10) H. Albrecht et al., ARGUS, Search for Hadronic $b\rightarrow u$ Decays, Phys. Lett. B 241 (1990) 278–282.
  * (11) B. Grinstein and A. Kobach, Model-Independent Extraction of $|V_{cb}|$ from $\bar{B}\rightarrow D^{*}\ell\overline{\nu}$, Phys. Lett. B 771 (2017) 359–364, arXiv:1703.08170 [hep-ph].
  * (12) D. Bigi, P. Gambino, and S. Schacht, A fresh look at the determination of $|V_{cb}|$ from $B\rightarrow D^{*}\ell\nu$, Phys. Lett. B 769 (2017) 441–445, arXiv:1703.06124 [hep-ph].
  * (13) A. Abdesselam et al., Belle II Collaboration, A fresh look at the determination of $|V_{cb}|$ from $B\rightarrow D^{*}\ell\nu$, arXiv:1702.01521 [hep-ph].

## Appendix A

A summary of all fitted yields, $N^{\rm Data}_{X\ell\nu}$, MC expected yields,
$N^{\rm MC}_{X\ell\nu}$ and the corresponding calibration factors are provided
in Table 3.

Sig. Prob. $>0.001$ |  |  |
---|---|---|---
Channel | $N^{\rm MC}_{X\ell\nu}$ | $N^{\rm Data}_{X\ell\nu}$ | $\epsilon$
$B^{+}e^{-}$ | $(4.46\pm 0.11)\times 10^{4}$ | $(2.94\pm 0.08)\times 10^{4}$ | $0.66\pm 0.02$
$B^{+}\mu^{-}$ | $(4.78\pm 0.11)\times 10^{4}$ | $(3.10\pm 0.10)\times 10^{4}$ | $0.65\pm 0.03$
$B^{0}e^{-}$ | $(1.75\pm 0.04)\times 10^{4}$ | $(1.46\pm 0.07)\times 10^{4}$ | $0.83\pm 0.04$
$B^{0}\mu^{-}$ | $(1.85\pm 0.06)\times 10^{4}$ | $(1.54\pm 0.05)\times 10^{4}$ | $0.83\pm 0.04$

Sig. Prob. $>0.01$ |  |  |
---|---|---|---
Channel | $N^{\rm MC}_{X\ell\nu}$ | $N^{\rm Data}_{X\ell\nu}$ | $\epsilon$
$B^{+}e^{-}$ | $(2.65\pm 0.07)\times 10^{4}$ | $(1.63\pm 0.05)\times 10^{4}$ | $0.62\pm 0.02$
$B^{+}\mu^{-}$ | $(2.88\pm 0.09)\times 10^{4}$ | $(1.71\pm 0.05)\times 10^{4}$ | $0.59\pm 0.03$
$B^{0}e^{-}$ | $(1.11\pm 0.03)\times 10^{4}$ | $(0.84\pm 0.04)\times 10^{4}$ | $0.76\pm 0.04$
$B^{0}\mu^{-}$ | $(1.18\pm 0.04)\times 10^{4}$ | $(0.94\pm 0.03)\times 10^{4}$ | $0.80\pm 0.04$

Sig. Prob. $>0.1$ |  |  |
---|---|---|---
Channel | $N^{\rm MC}_{X\ell\nu}$ | $N^{\rm Data}_{X\ell\nu}$ | $\epsilon$
$B^{+}e^{-}$ | $(1.10\pm 0.03)\times 10^{4}$ | $(0.71\pm 0.03)\times 10^{4}$ | $0.65\pm 0.03$
$B^{+}\mu^{-}$ | $(1.21\pm 0.04)\times 10^{4}$ | $(0.78\pm 0.04)\times 10^{4}$ | $0.64\pm 0.03$
$B^{0}e^{-}$ | $(0.60\pm 0.02)\times 10^{4}$ | $(0.43\pm 0.02)\times 10^{4}$ | $0.72\pm 0.04$
$B^{0}\mu^{-}$ | $(0.64\pm 0.02)\times 10^{4}$ | $(0.46\pm 0.02)\times 10^{4}$ | $0.72\pm 0.04$

Table 3: Results for $N_{X\ell\nu}$ as determined from the fits to data and
simulation together with total uncertainties. The corresponding calibration
factors computed from the ratio of these yields are also shown for each
channel.