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Abstract
We present the first model-independent measurement of the CKM unitarity triangle angle ϕ3 using B±→ D(\[ {K}_{\mathrm{S}}^0 \]π+π−π0) K± decays, where D indicates either a D0 or \[ \overline{D} \]0 meson. Measurements of the strong-phase difference of the D →\[ {K}_{\mathrm{S}}^0 \]π+π−π0 amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of 772 × 106B\[ \overline{B} \] events collected at the Υ(4S) resonance. We obtain ϕ3 = (\[ {5.7}_{-8.8}^{+10.2} \]±3.5±5.7)° and the suppressed amplitude ratio rB = 0.323±0.147±0.023±0.051. Here the first uncertainty is statistical, the second is the experimental systematic, and the third is due to the precision of the strong-phase parameters measured from CLEO-c data. The 95% confidence interval on ϕ3 is (−29.7, 109.5)°, which is consistent with the current world average.
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1 Indian Institute of Technology Madras, Chennai, India
2 LAL, Univ. Paris-Sud, CNRS/IN2P3, Université Paris-Saclay, Orsay, France
3 High Energy Accelerator Research Organization (KEK), Tsukuba, Japan; SOKENDAI (The Graduate University for Advanced Studies), Hayama, Japan
4 Department of Physics, University of Tokyo, Tokyo, Japan
5 Department of Physics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia; Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
6 Brookhaven National Laboratory, Upton, New York, USA
7 Budker Institute of Nuclear Physics SB RAS, Novosibirsk, Russian Federation; Novosibirsk State University, Novosibirsk, Russian Federation
8 Moscow Institute of Physics and Technology, Moscow, Russian Federation
9 Deutsches Elektronen-Synchrotron, Hamburg, Germany
10 Department of Physics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia; King Abdulaziz City for Science and Technology, Riyadh, Saudi Arabia
11 School of Physics, University of Sydney, New South Wales, Australia
12 II. Physikalisches Institut, Georg-August-Universität Göttingen, Göttingen, Germany
13 University of Mississippi, University, MS, USA
14 Indian Institute of Science Education and Research Mohali, Nagar, India
15 Indian Institute of Technology Guwahati, Assam, India
16 Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
17 J. Stefan Institute, Ljubljana, Slovenia
18 H. Niewodniczanski Institute of Nuclear Physics, Krakow, Poland
19 University of Maribor, Maribor, Slovenia; J. Stefan Institute, Ljubljana, Slovenia
20 INFN — Sezione di Napoli, Napoli, Italy; Università di Napoli Federico II, Napoli, Italy
21 National Central University, Chung-li, Taiwan
22 Department of Physics and Institute of Natural Sciences, Hanyang University, Seoul, South Korea
23 Korea Institute of Science and Technology Information, Daejeon, South Korea
24 Sungkyunkwan University, Suwon, South Korea
25 Indian Institute of Technology Hyderabad, Telangana, India
26 Wayne State University, Detroit, MI, USA
27 Indian Institute of Technology Bhubaneswar, Satya Nagar, India
28 Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai, PR China
29 Budker Institute of Nuclear Physics SB RAS, Novosibirsk, Russian Federation; Novosibirsk State University, Novosibirsk, Russian Federation; P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation
30 Pacific Northwest National Laboratory, Richland, WA, USA
31 Panjab University, Chandigarh, India
32 Virginia Polytechnic Institute and State University, Blacksburg, VA, USA
33 Institut für Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, Karlsruhe, Germany
34 Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia; J. Stefan Institute, Ljubljana, Slovenia
35 University of Cincinnati, Cincinnati, OH, USA
36 Niigata University, Niigata, Japan
37 Nara Women’s University, Nara, Japan
38 Department of Physics, National Taiwan University, Taipei, Taiwan
39 Kobayashi-Maskawa Institute, Nagoya University, Nagoya, Japan; Graduate School of Science, Nagoya University, Nagoya, Japan
40 Graduate School of Science, Nagoya University, Nagoya, Japan
41 Institute of High Energy Physics, Vienna, Austria
42 Osaka City University, Osaka, Japan
43 High Energy Accelerator Research Organization (KEK), Tsukuba, Japan
44 Indiana University, Bloomington, IN, USA
45 Kyungpook National University, Daegu, South Korea
46 Kennesaw State University, Kennesaw, GA, USA
47 Kitasato University, Sagamihara, Japan
48 Max-Planck-Institut für Physik, München, Germany
49 Soongsil University, Seoul, South Korea
50 Korea University, Seoul, South Korea
51 University of Hawaii, Honolulu, HI, USA
52 Ludwig Maximilians University, Munich, Germany
53 Punjab Agricultural University, Ludhiana, India
54 Yonsei University, Seoul, South Korea
55 Peking University, Beijing, PR China
56 Virginia Polytechnic Institute and State University, Blacksburg, VA, USA; High Energy Accelerator Research Organization (KEK), Tsukuba, Japan
57 School of Physics, University of Melbourne, Victoria, Australia
58 Earthquake Research Institute, University of Tokyo, Tokyo, Japan
59 University of Miyazaki, Miyazaki, Japan
60 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation; Moscow Institute of Physics and Technology, Moscow, Russian Federation
61 Tata Institute of Fundamental Research, Mumbai, India
62 Research Center for Nuclear Physics, Osaka University, Osaka, Japan
63 Wayne State University, Detroit, MI, USA; High Energy Accelerator Research Organization (KEK), Tsukuba, Japan
64 Kyoto University, Kyoto, Japan
65 University of Pittsburgh, Pittsburgh, PA, USA
66 Toho University, Funabashi, Japan
67 Nippon Dental University, Niigata, Japan; Niigata University, Niigata, Japan
68 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation; Moscow Physical Engineering Institute, Moscow, Russian Federation
69 INFN — Sezione di Napoli, Napoli, Italy
70 Luther College, Decorah, IA, USA
71 Forschungszentrum Jülich, Jülich, Germany
72 Università di Napoli Federico II, Napoli, Italy
73 Department of Physics, Tohoku University, Sendai, Japan
74 École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
75 University of the Basque Country UPV/EHU, Bilbao, Spain; IKERBASQUE, Basque Foundation for Science, Bilbao, Spain
76 Yamagata University, Yamagata, Japan
77 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation
78 Tokyo Metropolitan University, Tokyo, Japan
79 Showa Pharmaceutical University, Tokyo, Japan; J-PARC Branch, KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba, Japan; Theoretical Research Division, Nishina Center, RIKEN, Saitama, Japan
80 INFN — Sezione di Torino, Torino, Italy
81 Advanced Science Research Center, Japan Atomic Energy Agency, Naka, Japan
82 Tokyo Institute of Technology, Tokyo, Japan
83 Duke University, Durham, NC, USA
84 National United University, Miao Li, Taiwan
85 University of Science and Technology of China, Hefei, PR China




