Revisiting the Kπ puzzle in the pQCD factorization approach

  • In this paper, we calculated the branching ratios and direct CP violation of the four B→Kπ decays with the inclusion of all currently known next-to-leading order (NLO) contributions by employing the perturbative QCD (pQCD) factorization approach. We found that (a) Besides the 10% enhancement from the NLO vertex corrections, the quark-loops and magnetic penguins, the NLO contributions to the form factors can provide an additional ~15% enhancement to the branching ratios, and lead to a very good agreement with the data; (b) The NLO pQCD predictions are ACPsir (B0→K+π-)=(-6.5±3.1)% and ACPsir (B0→K+π0)=(2.2±2.0)%, become well consistent with the data due to the inclusion of the NLO contributions.
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  • [1] Particle Data Group, Beringer J et al. Phys. Rev. D, 2012, 86: 010001[2] Heavy Flavor Averaging Group, Amhis Y. et al. arXiv:1207.1158 [hep-ex]; www.slac.stanford.edu/xorg/hfag[3] Aaij R et al. (LHCb collaboration). Phys. Rev. Lett., 2012, 108: 201601[4] LI H N, Mishima S, Sanda A I. Phys. Rev. D, 2005, 72: 114005[5] LI H N, SHEN Y L, WANG Y M. Phys. Rev. D, 2012, 85: 074004[6] LI H N. Prog. Part. Nucl. Phys., 2003, 51: 85[7] Keum Y Y, LI H N, Sanda A I. Phys. Rev. D, 2001, 504: 6; Phys. Rev. D, 2001, 63: 054008[8] L C D, Ukai K, YANG M Z. Phys. Rev. D, 2001, 63: 074009[9] XIAO Z J, ZHANG Z Q, LIU X, GUO L B. Phys. Rev. D, 2008, 78: 114001[10] Ball P. J. High Energy Phys., 1998, 09: 005; J. High Energy Phys., 1999, 01: 010; Ball P, Zwicky R. Phys. Rev. D, 2005, 71: 014015; Ball P, Braun V M, Lenz A. J. High Energy Phys., 2006, 05: 004[11] LI Y, L C D, XIAO Z J, YU X Q. Phys. Rev. D, 2004, 70: 034009[12] Ali A, Kramer G, LI Y, LU C D, SHEN Y L, WANG W, WANG Y M. Phys. Rev. D, 2007, 76: 074018[13] FAN Y Y, WANG W F, CHENG S, XIAO Z J. Phys. Rev. D, 2013, 87: 094003[14] Buchalla G, Buras A J, Lautenbacher M E. mp, 1996, 68: 1215[15] Mishima S, Sanda A I. Prog. Theor. Phys., 2003, 110: 549[16] Beneke M, Buchalla G, Neubert M, Sachrajda C T. Phys. Rev. Lett., 1999, 83: 1914; pb, 2000, 591: 313[17] Beneke M, Neubert M. pb, 2003, 675: 333[18] Beneke M. Nucl. Phys. B, Proc. Suppl., 2007, 170: 57[19] WANG W F, XIAO Z J. Phys. Rev. D, 2012, 86: 114025
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BAI Wei, LIU Min, FAN Ying-Ying, WANG Wen-Fei, CHENG Shan and XIAO Zhen-Jun. Revisiting the Kπ puzzle in the pQCD factorization approach[J]. Chinese Physics C, 2014, 38(3): 033101. doi: 10.1088/1674-1137/38/3/033101
BAI Wei, LIU Min, FAN Ying-Ying, WANG Wen-Fei, CHENG Shan and XIAO Zhen-Jun. Revisiting the Kπ puzzle in the pQCD factorization approach[J]. Chinese Physics C, 2014, 38(3): 033101.  doi: 10.1088/1674-1137/38/3/033101 shu
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Received: 2013-05-03
Revised: 1900-01-01
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Revisiting the Kπ puzzle in the pQCD factorization approach

    Corresponding author: XIAO Zhen-Jun,
  • 1. Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China

Abstract: In this paper, we calculated the branching ratios and direct CP violation of the four B→Kπ decays with the inclusion of all currently known next-to-leading order (NLO) contributions by employing the perturbative QCD (pQCD) factorization approach. We found that (a) Besides the 10% enhancement from the NLO vertex corrections, the quark-loops and magnetic penguins, the NLO contributions to the form factors can provide an additional ~15% enhancement to the branching ratios, and lead to a very good agreement with the data; (b) The NLO pQCD predictions are ACPsir (B0→K+π-)=(-6.5±3.1)% and ACPsir (B0→K+π0)=(2.2±2.0)%, become well consistent with the data due to the inclusion of the NLO contributions.

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