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First measurement of $ϕ_{3}$ with a model-independent Dalitz plot analysis of $B^{\pm} \to D K^{\pm}$ , $D \to K_{S}^{0} π^{+} π^{-}$ decay

H. Aihara⁵⁰, K. Arinstein², D. M. Asner³⁸, V. Aulchenko², T. Aushev¹⁵, A. M. Bakich⁴⁴, K. Belous¹⁴, B. Bhuyan¹⁰, M. Bischofberger³⁰ et al. (Belle Collaboration)

M. Bischofberger³⁰, A. Bondar², G. Bonvicini⁵⁵, A. Bozek³³, M. Bračko^25,16, T. E. Browder⁷, M.-C. Chang⁵, P. Chang³², B. G. Cheon⁶, K. Chilikin¹⁵, R. Chistov¹⁵, K. Cho¹⁹, Y. Choi⁴³, J. Dalseno^26,46, Z. Doležal³, A. Drutskoy¹⁵, S. Eidelman², D. Epifanov², J. E. Fast³⁸, M. Feindt¹⁸, V. Gaur⁴⁵, N. Gabyshev², A. Garmash², Y. M. Goh⁶, B. Golob^23,16, J. Haba⁸, H. Hayashii³⁰, Y. Horii²⁹, Y. Hoshi⁴⁸, W.-S. Hou³², Y. B. Hsiung³², H. J. Hyun²¹, T. Iijima^29,28, A. Ishikawa⁴⁹, R. Itoh⁸, M. Iwabuchi⁵⁷, T. Julius²⁷, J. H. Kang⁵⁷, T. Kawasaki³⁵, C. Kiesling²⁶, H. J. Kim²¹, H. O. Kim²¹, J. B. Kim²⁰, J. H. Kim¹⁹, K. T. Kim²⁰, M. J. Kim²¹, Y. J. Kim¹⁹, K. Kinoshita⁴, B. R. Ko²⁰, S. Koblitz²⁶, P. Kodyš³, S. Korpar^25,16, P. Križan^23,16, P. Krokovny², B. Kronenbitter¹⁸, T. Kuhr¹⁸, T. Kumita⁵², A. Kuzmin², Y.-J. Kwon⁵⁷, S.-H. Lee²⁰, J. Li⁴², Y. Li⁵⁴, J. Libby¹¹, C. Liu⁴¹, Y. Liu⁴, Z. Q. Liu¹², D. Liventsev¹⁵, R. Louvot²², D. Matvienko², K. Miyabayashi³⁰, H. Miyata³⁵, R. Mizuk¹⁵, G. B. Mohanty⁴⁵, A. Moll^26,46, T. Mori²⁸, N. Muramatsu⁴⁰, Y. Nagasaka⁹, E. Nakano³⁷, M. Nakao⁸, Z. Natkaniec³³, S. Nishida⁸, O. Nitoh⁵³, S. Ogawa⁴⁷, T. Ohshima²⁸, S. Okuno¹⁷, S. L. Olsen^42,7, G. Pakhlova¹⁵, C. W. Park⁴³, H. Park²¹, H. K. Park²¹, K. S. Park⁴³, T. K. Pedlar²⁴, R. Pestotnik¹⁶, M. Petrič¹⁶, L. E. Piilonen⁵⁴, A. Poluektov², K. Prothmann^26,46, M. Ritter²⁶, M. Röhrken¹⁸, M. Rozanska³³, S. Ryu⁴², H. Sahoo⁷, Y. Sakai⁸, T. Sanuki⁴⁹, Y. Sato⁴⁹, O. Schneider²², C. Schwanda¹³, A. J. Schwartz⁴, K. Senyo⁵⁶, O. Seon²⁸, M. E. Sevior²⁷, M. Shapkin¹⁴, T.-A. Shibata⁵¹, J.-G. Shiu³², B. Shwartz², A. Sibidanov⁴⁴, F. Simon^26,46, J. B. Singh³⁹, P. Smerkol¹⁶, Y.-S. Sohn⁵⁷, A. Sokolov¹⁴, E. Solovieva¹⁵, S. Stanič³⁶, M. Starič¹⁶, K. Sumisawa⁸, T. Sumiyoshi⁵², G. Tatishvili³⁸, K. Trabelsi⁸, M. Uchida⁵¹, S. Uehara⁸, Y. Unno⁶, S. Uno⁸, P. Urquijo¹, P. Vanhoefer²⁶, G. Varner⁷, K. E. Varvell⁴⁴, A. Vinokurova², V. Vorobyev², C. H. Wang³¹, M.-Z. Wang³², P. Wang¹², Y. Watanabe¹⁷, K. M. Williams⁵⁴, E. Won²⁰, B. D. Yabsley⁴⁴, H. Yamamoto⁴⁹, J. Yamaoka⁷, Y. Yamashita³⁴, C. Z. Yuan¹², Z. P. Zhang⁴¹, V. Zhilich², V. Zhulanov², and A. Zupanc¹⁸ (Belle Collaboration)

¹University of Bonn, Bonn
²Budker Institute of Nuclear Physics SB RAS and Novosibirsk State University, Novosibirsk 630090
³Faculty of Mathematics and Physics, Charles University, Prague
⁴University of Cincinnati, Cincinnati, Ohio 45221
⁵Department of Physics, Fu Jen Catholic University, Taipei
⁶Hanyang University, Seoul
⁷University of Hawaii, Honolulu, Hawaii 96822
⁸High Energy Accelerator Research Organization (KEK), Tsukuba
⁹Hiroshima Institute of Technology, Hiroshima
¹⁰Indian Institute of Technology Guwahati, Guwahati
¹¹Indian Institute of Technology Madras, Madras
¹²Institute of High Energy Physics, Chinese Academy of Sciences, Beijing
¹³Institute of High Energy Physics, Vienna
¹⁴Institute of High Energy Physics, Protvino
¹⁵Institute for Theoretical and Experimental Physics, Moscow
¹⁶J. Stefan Institute, Ljubljana
¹⁷Kanagawa University, Yokohama
¹⁸Institut für Experimentelle Kernphysik, Karlsruher Institut für Technologie, Karlsruhe
¹⁹Korea Institute of Science and Technology Information, Daejeon
²⁰Korea University, Seoul
²¹Kyungpook National University, Taegu
²²École Polytechnique Fédérale de Lausanne (EPFL), Lausanne
²³Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana
²⁴Luther College, Decorah, Iowa 52101
²⁵University of Maribor, Maribor
²⁶Max-Planck-Institut für Physik, München
²⁷University of Melbourne, School of Physics, Victoria 3010
²⁸Graduate School of Science, Nagoya University, Nagoya
²⁹Kobayashi-Maskawa Institute, Nagoya University, Nagoya
³⁰Nara Women’s University, Nara
³¹National United University, Miao Li
³²Department of Physics, National Taiwan University, Taipei
³³H. Niewodniczanski Institute of Nuclear Physics, Krakow
³⁴Nippon Dental University, Niigata
³⁵Niigata University, Niigata
³⁶University of Nova Gorica, Nova Gorica
³⁷Osaka City University, Osaka
³⁸Pacific Northwest National Laboratory, Richland, Washington 99352
³⁹Panjab University, Chandigarh
⁴⁰Research Center for Nuclear Physics, Osaka University, Osaka
⁴¹University of Science and Technology of China, Hefei
⁴²Seoul National University, Seoul
⁴³Sungkyunkwan University, Suwon
⁴⁴School of Physics, University of Sydney, NSW 2006
⁴⁵Tata Institute of Fundamental Research, Mumbai
⁴⁶Excellence Cluster Universe, Technische Universität München, Garching
⁴⁷Toho University, Funabashi
⁴⁸Tohoku Gakuin University, Tagajo
⁴⁹Tohoku University, Sendai
⁵⁰Department of Physics, University of Tokyo, Tokyo
⁵¹Tokyo Institute of Technology, Tokyo
⁵²Tokyo Metropolitan University, Tokyo
⁵³Tokyo University of Agriculture and Technology, Tokyo
⁵⁴CNP, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
⁵⁵Wayne State University, Detroit, Michigan 48202
⁵⁶Yamagata University, Yamagata
⁵⁷Yonsei University, Seoul

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Phys. Rev. D 85, 112014 – Published 26 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.112014

Abstract

We present the first measurement of the angle $ϕ_{3}$ of the unitarity triangle using a model-independent Dalitz plot analysis of $B^{\pm} \to D K^{\pm}$ , $D \to K_{S}^{0} π^{+} π^{-}$ decays. The method uses, as input, measurements of the strong phase of the $D \to K_{S}^{0} π^{+} π^{-}$ amplitude from the CLEO Collaboration. The result is based on the full data set of $772 \times 10^{6}$ $B \bar{B}$ pairs collected by the Belle experiment at the $Υ (4 S)$ resonance. We obtain $ϕ_{3} = ({77.3}_{- 14.9}^{+ 15.1} \pm 4.1 \pm 4.3) °$ and the suppressed amplitude ratio $r_{B} = 0.145 \pm 0.030 \pm 0.010 \pm 0.011$ . Here the first error is statistical, the second is the experimental systematic uncertainty, and the third is the error due to the precision of the strong-phase parameters obtained by CLEO.

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First measurement of $ϕ_{3}$ with a model-independent Dalitz plot analysis of $B^{\pm} \to D K^{\pm}$ , $D \to K_{S}^{0} π^{+} π^{-}$ decay

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First measurement of ϕ3 with a model-independent Dalitz plot analysis of B±→DK±, D→KS0π+π− decay

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First measurement of $ϕ_{3}$ with a model-independent Dalitz plot analysis of $B^{\pm} \to D K^{\pm}$ , $D \to K_{S}^{0} π^{+} π^{-}$ decay