https://doi.org/10.1140/epjc/s10052-020-08790-2
Regular Article – Experimental Physics
Measurement of the branching fraction of the 
decay
1
Centro Brasileiro de Pesquisas Físicas (CBPF), Rio de Janeiro, Brazil
2
Universidade Federal do Rio de Janeiro (UFRJ), Rio de Janeiro, Brazil
3
Center for High Energy Physics, Tsinghua University, Beijing, China
4
Institute Of High Energy Physics (IHEP), Beijing, China
5
School of Physics State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, China
6
University of Chinese Academy of Sciences, Beijing, China
7
Institute of Particle Physics, Central China Normal University, Wuhan, Hubei, China
8
Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, IN2P3-LAPP, Annecy, France
9
Université Clermont Auvergne, CNRS/IN2P3, LPC, Clermont-Ferrand, France
10
Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France
11
Université Paris-Saclay, CNRS/IN2P3, IJCLab, Orsay, France
12
Laboratoire Leprince-ringuet (llr), Palaiseau, France
13
LPNHE, Sorbonne Université, Paris Diderot Sorbonne Paris Cité, CNRS/IN2P3, Paris, France
14
I. Physikalisches Institut, RWTH Aachen University, Aachen, Germany
15
Fakultät Physik, Technische Universität Dortmund, Dortmund, Germany
16
Max-Planck-Institut für Kernphysik (MPIK), Heidelberg, Germany
17
Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
18
School of Physics, University College Dublin, Dublin, Ireland
19
INFN Sezione di Bari, Bari, Italy
20
INFN Sezione di Bologna, Bologna, Italy
21
INFN Sezione di Ferrara, Ferrara, Italy
22
INFN Sezione di Firenze, Firenze, Italy
23
INFN Laboratori Nazionali di Frascati, Frascati, Italy
24
INFN Sezione di Genova, Genova, Italy
25
INFN Sezione di Milano, Milano, Italy
26
INFN Sezione di Milano-Bicocca, Milano, Italy
27
INFN Sezione di Cagliari, Monserrato, Italy
28
Universita degli Studi di Padova, Universita e INFN, Padova, Padova, Italy
29
INFN Sezione di Pisa, Pisa, Italy
30
INFN Sezione di Roma La Sapienza, Roma, Italy
31
INFN Sezione di Roma Tor Vergata, Roma, Italy
32
Nikhef National Institute for Subatomic Physics, Amsterdam, Netherlands
33
Nikhef National Institute for Subatomic Physics and VU University Amsterdam, Amsterdam, Netherlands
34
AGH - University of Science and Technology, Faculty of Physics and Applied Computer Science, Kraków, Poland
35
Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences, Kraków, Poland
36
National Center for Nuclear Research (NCBJ), Warsaw, Poland
37
Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest-Magurele, Romania
38
Petersburg Nuclear Physics Institute NRC Kurchatov Institute (PNPI NRC KI), Gatchina, Russia
39
Institute for Nuclear Research of the Russian Academy of Sciences (INR RAS), Moscow, Russia
40
Institute of Nuclear Physics, Moscow State University (SINP MSU), Moscow, Russia
41
Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Russia
42
Yandex School of Data Analysis, Moscow, Russia
43
Budker Institute of Nuclear Physics (SB RAS), Novosibirsk, Russia
44
Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Russia, Protvino, Russia
45
ICCUB, Universitat de Barcelona, Barcelona, Spain
46
Instituto Galego de Física de Altas Enerxías (IGFAE), Universidade de Santiago de Compostela, Santiago de Compostela, Spain
47
Instituto de Fisica Corpuscular, Centro Mixto Universidad de Valencia - CSIC, Valencia, Spain
48
European Organization for Nuclear Research (CERN), Geneva, Switzerland
49
Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
50
Physik-Institut, Universität Zürich, Zürich, Switzerland
51
NSC Kharkiv Institute of Physics and Technology (NSC KIPT), Kharkiv, Ukraine
52
Institute for Nuclear Research of the National Academy of Sciences (KINR), Kyiv, Ukraine
53
University of Birmingham, Birmingham, UK
54
H.H. Wills Physics Laboratory, University of Bristol, Bristol, UK
55
Cavendish Laboratory, University of Cambridge, Cambridge, UK
56
Department of Physics, University of Warwick, Coventry, UK
57
STFC Rutherford Appleton Laboratory, Didcot, UK
58
School of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
59
School of Physics and Astronomy, University of Glasgow, Glasgow, UK
60
Oliver Lodge Laboratory, University of Liverpool, Liverpool, UK
61
Imperial College London, London, UK
62
Department of Physics and Astronomy, University of Manchester, Manchester, UK
63
Department of Physics, University of Oxford, Oxford, UK
64
Massachusetts Institute of Technology, Cambridge, MA, USA
65
University of Cincinnati, Cincinnati, OH, USA
66
University of Maryland, College Park, MD, USA
67
Los Alamos National Laboratory (LANL), Los Alamos, USA
68
Syracuse University, Syracuse, NY, USA
69
School of Physics and Astronomy, Monash University, Melbourne, Australia
70
Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio), Rio de Janeiro, Brazil
71
Physics and Micro Electronic College, Hunan University, Changsha City, China
72
Guangdong Provencial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou, China
73
School of Physics and Technology, Wuhan University, Wuhan, China
74
Departamento de Fisica, Universidad Nacional de Colombia, Bogota, Colombia
75
Universität Bonn-Helmholtz-Institut für Strahlen und Kernphysik, Bonn, Germany
76
Institut für Physik, Universität Rostock, Rostock, Germany
77
INFN Sezione di Perugia, Perugia, Italy
78
Van Swinderen Institute, University of Groningen, Groningen, Netherlands
79
Universiteit Maastricht, Maastricht, Netherlands
80
National Research Centre Kurchatov Institute, Moscow, Russia
81
National Research University Higher School of Economics, Moscow, Russia
82
National University of Science and Technology “MISIS”, Moscow, Russia
83
National Research Tomsk Polytechnic University, Tomsk, Russia
84
DS4DS, La Salle, Universitat Ramon Llull, Barcelona, Spain
85
University of Michigan, Ann Arbor, USA
86
Universidade Federal do Triângulo Mineiro (UFTM), Uberaba-MG, Brazil
87
Università di Bari, Bari, Italy
88
Università di Bologna, Bologna, Italy
89
Università di Cagliari, Cagliari, Italy
90
Università di Ferrara, Ferrara, Italy
91
Università di Firenze, Firenze, Italy
92
Università di Genova, Genova, Italy
93
Università degli Studi di Milano, Milano, Italy
94
Università di Milano Bicocca, Milano, Italy
95
Università di Modena e Reggio Emilia, Modena, Italy
96
Università di Padova, Padova, Italy
97
Scuola Normale Superiore, Pisa, Italy
98
Università di Pisa, Pisa, Italy
99
Università della Basilicata, Potenza, Italy
100
Università di Roma Tor Vergata, Roma, Italy
101
Università di Siena, Siena, Italy
102
Università di Urbino, Urbino, Italy
103
MSU - Iligan Institute of Technology (MSU-IIT), Iligan, Philippines
104
AGH - University of Science and Technology, Faculty of Computer Science, Electronics and Telecommunications, Kraków, Poland
105
P.N. Lebedev Physical Institute, Russian Academy of Science (LPI RAS), Moscow, Russia
106
Novosibirsk State University, Novosibirsk, Russia
107
Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden
108
Hanoi University of Science, Hanoi, Vietnam
109
CERN, 1211 Geneva 23, Switzerland
Received:
26
October
2020
Accepted:
19
December
2020
Published online:
12
April
2021
A branching fraction measurement of the decay is presented using proton–proton collision data collected with the LHCb experiment, corresponding to an integrated luminosity of 
. The branching fraction is found to be 
, where the first uncertainty is statistical, the second systematic and the third is due to the uncertainty on the 
, 
and 
branching fractions. This is the most precise single measurement of this quantity to date. As this decay proceeds through a single amplitude involving a 
charged-current transition, the result provides information on non-factorisable strong interaction effects and the magnitude of the Cabibbo–Kobayashi–Maskawa matrix element 
. Additionally, the collision energy dependence of the hadronisation-fraction ratio 
is measured through 
and decays.
© CERN for the benefit of the LHCb collaboration 2021. corrected publication 2021
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