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Abstract
The decay-time-dependent asymmetry in decays is measured using proton–proton collision data, corresponding to an integrated luminosity of , collected with the LHCb detector at a centre-of-mass energy of in 2015 and 2016. Using a sample of approximately 117 000 signal decays with an invariant mass in the vicinity of the resonance, the -violating phase is measured, along with the difference in decay widths of the light and heavy mass eigenstates of the - system, . The difference of the average and meson decay widths, , is determined using in addition a sample of decays. The values obtained are , and , where the first uncertainty is statistical and the second systematic. These are the most precise single measurements of these quantities to date and are consistent with expectations based on the Standard Model and with a previous LHCb analysis of this decay using data recorded at centre-of-mass energies 7 and 8 TeV. Finally, the results are combined with recent results from decays obtained using the same dataset as this analysis, and with previous independent LHCb results.
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1 Nikhef National Institute for Subatomic Physics, Amsterdam, The Netherlands (GRID:grid.420012.5) (ISNI:0000 0004 0646 2193)
2 Universität Zürich, Physik-Institut, Zürich, Switzerland (GRID:grid.7400.3) (ISNI:0000 0004 1937 0650)
3 University of Liverpool, Oliver Lodge Laboratory, Liverpool, UK (GRID:grid.10025.36) (ISNI:0000 0004 1936 8470)
4 Universidade de Santiago de Compostela, Instituto Galego de Física de Altas Enerxías (IGFAE), Santiago de Compostela, Spain (GRID:grid.11794.3a) (ISNI:0000000109410645)
5 University of Bristol, H.H. Wills Physics Laboratory, Bristol, UK (GRID:grid.5337.2) (ISNI:0000 0004 1936 7603)
6 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.5337.2)
7 University of Michigan, Ann Arbor, USA (GRID:grid.214458.e) (ISNI:0000000086837370)
8 INFN Sezione di Milano, Milan, Italy (GRID:grid.470206.7)
9 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.470206.7)
10 University of Cincinnati, Cincinnati, USA (GRID:grid.24827.3b) (ISNI:0000 0001 2179 9593)
11 INFN Laboratori Nazionali di Frascati, Frascati, Italy (GRID:grid.463190.9) (ISNI:0000 0004 0648 0236)
12 Technische Universität Dortmund, Fakultät Physik, Dortmund, Germany (GRID:grid.5675.1) (ISNI:0000 0001 0416 9637)
13 European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
14 University of Glasgow, School of Physics and Astronomy, Glasgow, UK (GRID:grid.8756.c) (ISNI:0000 0001 2193 314X)
15 Universitat de Barcelona, ICCUB, Barcelona, Spain (GRID:grid.5841.8) (ISNI:0000 0004 1937 0247)
16 Petersburg Nuclear Physics Institute NRC Kurchatov Institute (PNPI NRC KI), Gatchina, Russia (GRID:grid.430219.d) (ISNI:0000 0004 0619 3376)
17 Imperial College London, London, UK (GRID:grid.7445.2) (ISNI:0000 0001 2113 8111)
18 Universidade Federal do Rio de Janeiro (UFRJ), Rio de Janeiro, Brazil (GRID:grid.8536.8) (ISNI:0000 0001 2294 473X)
19 Université Paris-Saclay, LAL, Univ. Paris-Sud, CNRS/IN2P3, Orsay, France (GRID:grid.460789.4) (ISNI:0000 0004 4910 6535)
20 INFN Sezione di Firenze, Firenze, Italy (GRID:grid.470204.5)
21 Ecole Polytechnique Fédérale de Lausanne (EPFL), Institute of Physics, Lausanne, Switzerland (GRID:grid.5333.6) (ISNI:0000000121839049)
22 INFN Sezione di Ferrara, Ferrara, Italy (GRID:grid.470200.1) (ISNI:0000 0004 1765 4414)
23 Ruprecht-Karls-Universität Heidelberg, Physikalisches Institut, Heidelberg, Germany (GRID:grid.7700.0) (ISNI:0000 0001 2190 4373)
24 CPPM, Aix Marseille Univ, CNRS/IN2P3, Marseille, France (GRID:grid.470046.1) (ISNI:0000 0004 0452 0652)
25 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.470046.1)
26 Syracuse University, Syracuse, USA (GRID:grid.264484.8) (ISNI:0000 0001 2189 1568)
27 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.264484.8)
28 INFN Sezione di Cagliari, Monserrato, Italy (GRID:grid.470195.e)
29 University of Warwick, Department of Physics, Coventry, UK (GRID:grid.7372.1) (ISNI:0000 0000 8809 1613)
30 INFN Sezione di Ferrara, Ferrara, Italy (GRID:grid.470200.1) (ISNI:0000 0004 1765 4414); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
31 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.9132.9)
32 University of Manchester, School of Physics and Astronomy, Manchester, UK (GRID:grid.5379.8) (ISNI:0000000121662407)
33 INFN Sezione di Genova, Geneva, Italy (GRID:grid.470205.4)
34 National University of Science and Technology “MISIS”, Moscow, Russia (GRID:grid.35043.31) (ISNI:0000 0001 0010 3972)
35 INFN Sezione di Pisa, Pisa, Italy (GRID:grid.470216.6)
36 National Center for Nuclear Research (NCBJ), Warsaw, Poland (GRID:grid.450295.f) (ISNI:0000 0001 0941 0848)
37 Centro Brasileiro de Pesquisas Físicas (CBPF), Rio de Janeiro, Brazil (GRID:grid.418228.5) (ISNI:0000 0004 0643 8134)
38 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.420012.5)
39 University of Chinese Academy of Sciences, Beijing, China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419)
40 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.5333.6)
41 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.5333.6)
42 CNRS/IN2P3, LPNHE, Sorbonne Université, Paris Diderot Sorbonne Paris Cité, Paris, France (GRID:grid.433124.3) (ISNI:0000 0001 0664 3574)
43 RWTH Aachen University, I. Physikalisches Institut, Aachen, Germany (GRID:grid.1957.a) (ISNI:0000 0001 0728 696X)
44 Moscow State University (SINP MSU), Institute of Nuclear Physics, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668)
45 INFN Sezione di Padova, Padova, Italy (GRID:grid.470212.2)
46 INFN Sezione di Bologna, Bologna, Italy (GRID:grid.470193.8)
47 University of Cambridge, Cavendish Laboratory, Cambridge, UK (GRID:grid.5335.0) (ISNI:0000000121885934)
48 Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences, Kraków, Poland (GRID:grid.418860.3) (ISNI:0000 0001 0942 8941)
49 University of Birmingham, Birmingham, UK (GRID:grid.6572.6) (ISNI:0000 0004 1936 7486)
50 University of Oxford, Department of Physics, Oxford, UK (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948)
51 INFN Sezione di Roma La Sapienza, Rome, Italy (GRID:grid.470218.8)
52 Massachusetts Institute of Technology, Cambridge, USA (GRID:grid.116068.8) (ISNI:0000 0001 2341 2786)
53 National Research University Higher School of Economics, Moscow, Russia (GRID:grid.410682.9) (ISNI:0000 0004 0578 2005)
54 Budker Institute of Nuclear Physics (SB RAS), Novosibirsk, Russia (GRID:grid.418495.5)
55 European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X); University of Manchester, School of Physics and Astronomy, Manchester, UK (GRID:grid.5379.8) (ISNI:0000000121662407)
56 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.5379.8)
57 INFN Sezione di Cagliari, Monserrato, Italy (GRID:grid.470195.e); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
58 Wuhan University, School of Physics and Technology, Wuhan, China (GRID:grid.49470.3e) (ISNI:0000 0001 2331 6153)
59 INFN Sezione di Milano-Bicocca, Milan, Italy (GRID:grid.470207.6)
60 INFN Sezione di Roma Tor Vergata, Rome, Italy (GRID:grid.470219.9)
61 CNRS/IN2P3, LPNHE, Sorbonne Université, Paris Diderot Sorbonne Paris Cité, Paris, France (GRID:grid.433124.3) (ISNI:0000 0001 0664 3574); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
62 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.6572.6)
63 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.6572.6)
64 Tsinghua University, Center for High Energy Physics, Beijing, China (GRID:grid.12527.33) (ISNI:0000 0001 0662 3178)
65 University of Edinburgh, School of Physics and Astronomy, Edinburgh, UK (GRID:grid.4305.2) (ISNI:0000 0004 1936 7988)
66 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.470046.1)
67 Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest, Magurele, Romania (GRID:grid.443874.8) (ISNI:0000 0000 9463 5349)
68 Los Alamos National Laboratory (LANL), Los Alamos, USA (GRID:grid.148313.c) (ISNI:0000 0004 0428 3079)
69 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.11794.3a)
70 INFN Sezione di Bari, Bari, Italy (GRID:grid.470190.b)
71 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.214458.e)
72 Max-Planck-Institut für Kernphysik (MPIK), Heidelberg, Germany (GRID:grid.419604.e) (ISNI:0000 0001 2288 6103)
73 Faculty of Physics and Applied Computer Science, AGH - University of Science and Technology, Kraków, Poland (GRID:grid.9922.0) (ISNI:0000 0000 9174 1488)
74 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.410682.9)
75 Institute of Particle Physics, Central China Normal University, Wuhan, China (GRID:grid.411407.7) (ISNI:0000 0004 1760 2614)
76 NSC Kharkiv Institute of Physics and Technology (NSC KIPT), Kharkiv, Ukraine (GRID:grid.425540.2) (ISNI:0000 0000 9526 3153)
77 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.5379.8)
78 STFC Rutherford Appleton Laboratory, Didcot, UK (GRID:grid.76978.37) (ISNI:0000 0001 2296 6998)
79 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.7445.2)
80 Institute for Nuclear Research of the Russian Academy of Sciences (INR RAS), Moscow, Russia (GRID:grid.425051.7) (ISNI:0000 0000 9467 3767)
81 University of Maryland, College Park, USA (GRID:grid.164295.d) (ISNI:0000 0001 0941 7177)
82 Centro Mixto Universidad de Valencia - CSIC, Instituto de Fisica Corpuscular, Valencia, Spain (GRID:grid.5338.d) (ISNI:0000 0001 2173 938X)
83 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.9132.9)
84 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.470046.1)
85 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.433124.3)
86 Imperial College London, London, UK (GRID:grid.7445.2) (ISNI:0000 0001 2113 8111); National University of Science and Technology “MISIS”, Moscow, Russia (GRID:grid.35043.31) (ISNI:0000 0001 0010 3972)
87 South China Normal University, Guangzhou, China (GRID:grid.263785.d) (ISNI:0000 0004 0368 7397)
88 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.1957.a); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
89 Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio), Rio de Janeiro, Brazil (GRID:grid.4839.6) (ISNI:0000 0001 2323 852X)
90 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.4991.5)
91 Universität Rostock, Institut für Physik, Rostock, Germany (GRID:grid.10493.3f) (ISNI:0000000121858338)
92 Laboratory of Mathematical and Subatomic Physics, Constantine, Algeria (GRID:grid.10493.3f)
93 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.430219.d)
94 Nikhef National Institute for Subatomic Physics and VU University Amsterdam, Amsterdam, The Netherlands (GRID:grid.420012.5) (ISNI:0000 0004 0646 2193)
95 National Research Tomsk Polytechnic University, Tomsk, Russia (GRID:grid.27736.37) (ISNI:0000 0000 9321 1499)
96 Institute for Nuclear Research of the National Academy of Sciences (KINR), Kyiv, Ukraine (GRID:grid.450331.0)
97 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.35043.31)
98 Nikhef National Institute for Subatomic Physics, Amsterdam, The Netherlands (GRID:grid.420012.5) (ISNI:0000 0004 0646 2193); Institute for Nuclear Research of the National Academy of Sciences (KINR), Kyiv, Ukraine (GRID:grid.450331.0)
99 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.430219.d)
100 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.14476.30)
101 Institute of High Energy Physics (ihep), Beijing, China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097)
102 Petersburg Nuclear Physics Institute NRC Kurchatov Institute (PNPI NRC KI), Gatchina, Russia (GRID:grid.430219.d) (ISNI:0000 0004 0619 3376); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
103 National Research Centre Kurchatov Institute, Moscow, Russia (GRID:grid.18919.38) (ISNI:0000000406204151)
104 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.470206.7)
105 INFN Sezione di Milano-Bicocca, Milan, Italy (GRID:grid.470207.6); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
106 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.9132.9)
107 European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X); Imperial College London, London, UK (GRID:grid.7445.2) (ISNI:0000 0001 2113 8111)
108 University College Dublin, School of Physics, Dublin, Ireland (GRID:grid.7886.1) (ISNI:0000 0001 0768 2743)
109 Universidad Nacional de Colombia, Departamento de Fisica, Bogota, Colombia (GRID:grid.10689.36) (ISNI:0000 0001 0286 3748)
110 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.7372.1)
111 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.7372.1)
112 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.10689.36)
113 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.9922.0)
114 University of Groningen, Van Swinderen Institute, Groningen, The Netherlands (GRID:grid.4830.f) (ISNI:0000 0004 0407 1981)
115 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.8536.8)
116 INFN Sezione di Firenze, Firenze, Italy (GRID:grid.470204.5); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
117 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.470193.8)
118 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.470193.8)
119 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.9132.9)
120 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.6572.6)
121 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.433124.3)
122 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.8536.8); National Research University Higher School of Economics, Moscow, Russia (GRID:grid.410682.9) (ISNI:0000 0004 0578 2005)
123 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.9132.9)
124 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.4991.5)
125 INFN Laboratori Nazionali di Frascati, Frascati, Italy (GRID:grid.463190.9) (ISNI:0000 0004 0648 0236); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
126 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.410726.6); Moscow State University (SINP MSU), Institute of Nuclear Physics, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668)
127 Laboratory of Mathematical and Subatomic Physics, Constantine, Algeria (GRID:grid.470218.8)
128 Russia, Institute of Theoretical and Experimental Physics NRC Kurchatov Institute (ITEP NRC KI), Moscow, Moscow, Russia (GRID:grid.470218.8)
129 European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X); University of Birmingham, Birmingham, UK (GRID:grid.6572.6) (ISNI:0000 0004 1936 7486)
130 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.214458.e)
131 National Research Centre Kurchatov Institute, Moscow, Russia (GRID:grid.18919.38) (ISNI:0000000406204151); National University of Science and Technology “MISIS”, Moscow, Russia (GRID:grid.35043.31) (ISNI:0000 0001 0010 3972)
132 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.7700.0)
133 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.410726.6)
134 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.7445.2)
135 IN2P3-LAPP, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, Annecy, France (GRID:grid.433124.3)
136 INFN Sezione di Pisa, Pisa, Italy (GRID:grid.470216.6); European Organization for Nuclear Research (CERN), Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X)
137 Yandex School of Data Analysis, Moscow, Russia (GRID:grid.460789.4); National Research University Higher School of Economics, Moscow, Russia (GRID:grid.410682.9) (ISNI:0000 0004 0578 2005)
138 LPC, Université Clermont Auvergne, CNRS/IN2P3, Clermont-Ferrand, France (GRID:grid.264484.8)
139 Russia, Institute for High Energy Physics NRC Kurchatov Institute (IHEP NRC KI), Protvino, Protvino, Russia (GRID:grid.264484.8)
140 RWTH Aachen University, I. Physikalisches Institut, Aachen, Germany (GRID:grid.1957.a) (ISNI:0000 0001 0728 696X); Moscow State University (SINP MSU), Institute of Nuclear Physics, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668)