Abstract

We report a measurement of the amplitude ratio $r_S$ of $B^0 \to D^0K^{\ast 0}$ and $B^0 \to \bar {D^0}K^{\ast 0}$ decays with a Dalitz analysis of $D\to K_S^0\pi ^+\pi ^-$ decays, for the first time using a model-independent method. We set an upper limit $r_S < 0.87$ at the 68% confidence level, using the full data sample of $711\,{\rm fb}^{-1}$ corresponding to $772\times 10^6$$B\bar {B}$ pairs collected at the $\Upsilon (4S)$ resonance with the Belle detector at the KEKB $e^+e^-$ collider. This result is obtained from observables $x_- = +0.4 ^{+1.0 +0.0}_{-0.6 -0.1} \pm 0.0$, $y_- = -0.6 ^{+0.8 +0.1}_{-1.0 -0.0} \pm 0.1$, $x_+ = +0.1 ^{+0.7 +0.0}_{-0.4 -0.1} \pm 0.1$, and $y_+ = +0.3 ^{+0.5 +0.0}_{-0.8 -0.1} \pm 0.1$, where $x_\pm = r_S \cos (\delta _S \pm \phi _3)$, $y_\pm = r_S \sin (\delta _S \pm \phi _3)$, and $\phi _3\ (\delta _S)$ is the weak (strong) phase difference between $B^0 \to D^0K^{\ast 0}$ and $B^0 \to \bar {D^0}K^{\ast 0}$.

Details

Title
First model-independent Dalitz analysis of B0→DK∗0, D→KS0π+π− decay
Author
Negishi, K 1 ; Ishikawa, A 1 ; Yamamoto, H 1 ; Abdesselam, A 2 ; Adachi, I 3 ; Aihara, H 4 ; A Al Said 5 ; Asner, D M 6 ; Aulchenko, V 7 ; Aushev, T 8 ; Ayad, R 2 ; Babu, V 9 ; Badhrees, I 10 ; Bahinipati, S 11 ; Bakich, A M 12 ; Barberio, E 13 ; Biswal, J 14 ; Bonvicini, G 15 ; Bozek, A 16 ; Bračko, M 17 ; Browder, T E 18 ; Chekelian, V 19 ; Chen, A 20 ; Cheon, B G 21 ; Chilikin, K 22 ; Chistov, R 22 ; Cho, K 23 ; Chobanova, V 19 ; S-K, Choi 24 ; Choi, Y 25 ; Cinabro, D 15 ; Dalseno, J 26 ; Danilov, M 27 ; Doležal, Z 28 ; Drutskoy, A 27 ; Dutta, D 9 ; Eidelman, S 7 ; Farhat, H 15 ; Fast, J E 6 ; Ferber, T 29 ; Fulsom, B G 6 ; Gaur, V 9 ; Gabyshev, N 7 ; Garmash, A 7 ; Getzkow, D 30 ; Gillard, R 15 ; Glattauer, R 31 ; Goh, Y M 21 ; Goldenzweig, P 32 ; Golob, B 33 ; Grzymkowska, O 16 ; Haba, J 3 ; Hara, T 3 ; Hayasaka, K 34 ; Hayashii, H 35 ; He, X H 36 ; Horiguchi, T 1 ; W-S Hou 37 ; Iijima, T 38 ; Inami, K 39 ; Itoh, R 3 ; Iwasaki, Y 40 ; Jaegle, I 18 ; Joffe, D 41 ; Joo, K K 42 ; Julius, T 13 ; Kang, K H 43 ; Kawasaki, T 44 ; Kiesling, C 19 ; Kim, D Y 45 ; Kim, J B 46 ; Kim, J H 23 ; Kim, K T 46 ; Kim, M J 43 ; Kim, S H 21 ; Kim, Y J 23 ; Kinoshita, K 47 ; Ko, B R 46 ; Kodyš, P 28 ; Korpar, S 17 ; Križan, P 33 ; Krokovny, P 7 ; Kumita, T 48 ; Kuzmin, A 7 ; Y-J, Kwon 49 ; Lange, J S 30 ; Lee, I S 21 ; Lewis, P 18 ; Y Li 50 ; LiGioi, L 19 ; Libby, J 51 ; Liventsev, D 52 ; Lukin, P 7 ; Masuda, M 53 ; Matvienko, D 7 ; Miyabayashi, K 35 ; Miyata, H 44 ; Mizuk, R 27 ; Mohanty, G B 9 ; Moll, A 26 ; Moon, H K 46 ; Mussa, R 54 ; Nakao, M 3 ; Nanut, T 14 ; Natkaniec, Z 16 ; Nayak, M 51 ; Nisar, N K 9 ; Nishida, S 3 ; Ogawa, S 55 ; Okuno, S 56 ; Onuki, Y 4 ; Pakhlov, P 27 ; Pakhlova, G 8 ; Pal, B 47 ; Park, C W 25 ; Park, H 43 ; Pedlar, T K 57 ; Pesántez, L 58 ; Pestotnik, R 14 ; Petrič, M 14 ; Piilonen, L E 50 ; Pulvermacher, C 32 ; Ribežl, E 14 ; Ritter, M 19 ; Rostomyan, A 29 ; Sakai, Y 3 ; Sandilya, S 9 ; Santelj, L 40 ; Sanuki, T 1 ; Sato, Y 39 ; Savinov, V 59 ; Schneider, O 60 ; Schnell, G 61 ; Schwanda, C 31 ; Senyo, K 62 ; Sevior, M E 13 ; Shebalin, V 7 ; Shen, C P 63 ; T-A Shibata 64 ; J-G Shiu 37 ; Simon, F 26 ; Y-S, Sohn 49 ; Solovieva, E 22 ; Stanič, S 65 ; Starič, M 14 ; Steder, M 29 ; Sumihama, M 66 ; Sumiyoshi, T 48 ; Tamponi, U 67 ; Teramoto, Y 68 ; Uchida, M 64 ; Unno, Y 21 ; Uno, S 3 ; Urquijo, P 13 ; C Van Hulse 69 ; Vanhoefer, P 19 ; Varner, G 18 ; Vinokurova, A 7 ; Vossen, A 70 ; Wagner, M N 30 ; Wang, C H 71 ; M-Z, Wang 37 ; Wang, P 72 ; Wang, X L 50 ; Watanabe, M 44 ; Watanabe, Y 56 ; Wehle, S 29 ; Williams, M K 50 ; Won, E 46 ; Yamaoka, J 6 ; Yamashita, Y 73 ; Yashchenko, S 29 ; Yelton, J 74 ; Yook, Y 49 ; Yuan, C Z 72 ; Yusa, Y 44 ; Zhang, Z P 75 ; Zhilich, V 7 ; Zhulanov, V 7 ; Zupanc, A 14 

 Tohoku University, Sendai 980-8578, Japan 
 Department of Physics, Faculty of Science, University of Tabuk, Tabuk 71451, Saudi Arabia 
 High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan; SOKENDAI (The Graduate University for Advanced Studies), Hayama 240-0193, Japan 
 Department of Physics, University of Tokyo, Tokyo 113-0033, Japan 
 Department of Physics, Faculty of Science, University of Tabuk, Tabuk 71451, Saudi Arabia; Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 
 Pacific Northwest National Laboratory, Richland, WA 99352, USA 
 Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090, Russian Federation; Novosibirsk State University, Novosibirsk 630090, Russian Federation 
 Moscow Institute of Physics and Technology, Moscow Region 141700, Russian Federation; Institute for Theoretical and Experimental Physics, Moscow 117218, Russian Federation 
 Tata Institute of Fundamental Research, Mumbai 400005, India 
10  Department of Physics, Faculty of Science, University of Tabuk, Tabuk 71451, Saudi Arabia; King Abdulaziz City for Science and Technology, Riyadh 11442, Saudi Arabia 
11  Indian Institute of Technology Bhubaneswar, Satya Nagar 751007, India 
12  School of Physics, University of Sydney, NSW 2006, Australia 
13  School of Physics, University of Melbourne, Victoria 3010, Australia 
14  J. Stefan Institute, 1000 Ljubljana, Slovenia 
15  Wayne State University, Detroit, MI 48202, USA 
16  H. Niewodniczanski Institute of Nuclear Physics, Krakow 31-342, Poland 
17  University of Maribor, 2000 Maribor, Slovenia; J. Stefan Institute, 1000 Ljubljana, Slovenia 
18  University of Hawaii, Honolulu, HI 96822, USA 
19  Max-Planck-Institut für Physik, 80805 München, Germany 
20  National Central University, Chung-li 32054, Taiwan 
21  Hanyang University, Seoul 133-791, South Korea 
22  Institute for Theoretical and Experimental Physics, Moscow 117218, Russian Federation 
23  Korea Institute of Science and Technology Information, Daejeon 305-806, South Korea 
24  Gyeongsang National University, Chinju 660-701, South Korea 
25  Sungkyunkwan University, Suwon 440-746, South Korea 
26  Max-Planck-Institut für Physik, 80805 München, Germany; Excellence Cluster Universe, Technische Universität München, 85748 Garching, Germany 
27  Institute for Theoretical and Experimental Physics, Moscow 117218, Russian Federation; Moscow Physical Engineering Institute, Moscow 115409, Russian Federation 
28  Faculty of Mathematics and Physics, Charles University, 121 16 Prague, The Czech Republic 
29  Deutsches Elektronen–Synchrotron, 22607 Hamburg, Germany 
30  Justus-Liebig-Universität Gießen, 35392 Gießen, Germany 
31  Institute of High Energy Physics, Vienna 1050, Austria 
32  Institut für Experimentelle Kernphysik, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany 
33  Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia; J. Stefan Institute, 1000 Ljubljana, Slovenia 
34  Kobayashi-Maskawa Institute, Nagoya University, Nagoya 464-8602, Japan 
35  Nara Women's University, Nara 630-8506, Japan 
36  Peking University, Beijing 100871, PR China 
37  Department of Physics, National Taiwan University, Taipei 10617, Taiwan 
38  Kobayashi-Maskawa Institute, Nagoya University, Nagoya 464-8602, Japan; Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan 
39  Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan 
40  High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan 
41  Kennesaw State University, Kennesaw GA 30144, USA 
42  Chonnam National University, Kwangju 660-701, Korea 
43  Kyungpook National University, Daegu 702-701, South Korea 
44  Niigata University, Niigata 950-2181, Japan 
45  Soongsil University, Seoul 156-743, South Korea 
46  Korea University, Seoul 136-713, South Korea 
47  University of Cincinnati, Cincinnati, OH 45221, USA 
48  Tokyo Metropolitan University, Tokyo 192-0397, Japan 
49  Yonsei University, Seoul 120-749, South Korea 
50  CNP, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA 
51  Indian Institute of Technology Madras, Chennai 600036, India 
52  CNP, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA; High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan 
53  Earthquake Research Institute, University of Tokyo, Tokyo 113-0032, Japan 
54  INFN - Sezione di Torino, 10125 Torino, Italy 
55  Toho University, Funabashi 274-8510, Japan 
56  Kanagawa University, Yokohama 221-8686, Japan 
57  Luther College, Decorah, IA 52101, USA 
58  University of Bonn, 53115 Bonn, Germany 
59  University of Pittsburgh, Pittsburgh, PA 15260, USA 
60  École Polytechnique Fédérale de Lausanne (EPFL), Lausanne 1015, Switzerland 
61  University of the Basque Country UPV/EHU, 48080 Bilbao, Spain; IKERBASQUE, Basque Foundation for Science, 48013 Bilbao, Spain 
62  Yamagata University, Yamagata 990-8560, Japan 
63  Beihang University, Beijing 100191, PR China 
64  Tokyo Institute of Technology, Tokyo 152-8550, Japan 
65  University of Nova Gorica, 5000 Nova Gorica, Slovenia 
66  Gifu University, Gifu 501-1193, Japan 
67  INFN - Sezione di Torino, 10125 Torino, Italy; University of Torino, 10124 Torino, Italy 
68  Osaka City University, Osaka 558-8585, Japan 
69  University of the Basque Country UPV/EHU, 48080 Bilbao, Spain 
70  Indiana University, Bloomington, IN 47408, USA 
71  National United University, Miao Li 36003, Taiwan 
72  Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, PR China 
73  Nippon Dental University, Niigata 951-8580, Japan 
74  University of Florida, Gainesville, FL 32611, USA 
75  University of Science and Technology of China, Hefei 230026, PR China 
Publication year
2016
Publication date
Apr 2016
Publisher
Oxford University Press
e-ISSN
20503911
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3171475914
Copyright
© The Author(s) 2016. Published by Oxford University Press on behalf of the Physical Society of Japan. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.