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2024年10月30日

Semileptonic decays Bc→(ηc,J/Ψ)lv in the perturbative QCD approach

  • In this paper we study the semileptonic decays of Bc-→(ηc,J/Ψ)l-vl. We first evaluate the Bc→(ηc,J/Ψ) transition form factors F0(q2), F+(q2), V(q2) and A0,1,2(q2) by employing the pQCD factorization approach, and then we calculate the branching ratios for all considered semileptonic decays. Based on the numerical results and the phenomenological analysis, we find that: (a) the pQCD predictions for the values of the Bc→ηc and Bc→J/Ψ transition form factors agree well with those obtained by using other methods; (b) the pQCD predictions for the branching ratios of the considered decays are Br(Bc-→ηc e-ve-vμ)=(4.41-1.09+1.22)×10-3, Br(Bc-→ηcτ-vτ) =(1.37-0.34+0.37)×10-3, Br(Bc-→J/Ψ e-ve-vμ)) =(10.03-1.18+1.33)×10-3, and Br(Bc-→J/Ψτ-vτ) =(2.92-0.34+0.40)×10-3; and (c) we also define and calculate two ratios of the branching ratios Rηc and RJ/Ψ, which will be tested by LHCb and the forthcoming Super-B experiments.
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  • [1] Abe F et al. (CDF collaboration). Phys. Rev. D, 1998, 58: 112004[2] Gouz I P, Kiselev V V, Likhoded A K, Romanovsky V I, Yushchenko O P. Phys. At. Nucl., 2004, 67: 1559[3] Quarkonium Working Group, Brambilla N et al. Report No: CERN-2005-005; Altarelli M P, Teubert F. Int. J. Mod. Phys. A, 2008, 23: 5117[4] Dhir R, Verma R C. Phys. Rev. D, 2009, 79: 034004[5] Hernandez E, Nieves J, Verde-Velasco J M. Phys. Rev. D, 2006, 74: 074008[6] Ivanov M A, Korner J G, Santorelli P. Phys. Rev. D, 2005, 71: 094006; 2007, 75: 019901(E)[7] Ebert D, Faustov R N, Galkin V O. Phys. Rev. D, 2003, 68: 094020; Eur. Phys. J. C, 2003, 32: 29[8] SUN J F, YANG Y L, DU W J, MA H L. Phys. Rev. D, 2008, 77: 114004[9] WANG W, SHEN Y L, L C D. Phys. Rev. D, 2009, 79: 054012[10] QIAO C F, ZHU R L. Phys. Rev. D, 2013, 87: 014009[11] XIAO Z J, LIU X. Phys. Rev. D, 2011, 84: 074033; LIU X, XIAO Z J, L C D. Phys. Rev. D, 2010, 81: 014022[12] CHENG J F, DU D S, L C D. Eur. Phys. J. C, 2006, 45: 711[13] SUN J F, DU D S, YANG Y L. Eur. Phys. J. C, 2009, 60: 107[14] Yeh T W, LI H N. Phys. Rev. D, 1997, 56: 1615; LI H N, YU H L. Phys. Rev. Lett., 1995, 74: 4388; Phys. Lett. B, 1995, 353: 301; Phys. Rev. D, 1996, 53: 2480.[15] L C D, Ukai K, YANG M Z. Phys. Rev. D, 2001, 63: 074009[16] Kurimoto T, LI H N, Sanda A I. Phys. Rev. D, 2003, 67, 054028[17] LI Y, L C D. Phys. Rev. D, 2006, 73: 094006[18] LIU X, ZHANG Z Q, XIAO Z J. Chin. Phys. C, 2010, 34:937; Bondar A E, Chernyak V L. Phys. Lett. B, 2005, 612: 215[19] Kurimoto T, LI H N, Sanda A I. Phys. Rev. D, 2001, 65: 014007[20] WEI Z T, YANG M Z. pb, 2002, 642: 263; L C D, YANG M Z. Eur. Phys. J. C, 2002, 23: 275; Eur. Phys. J. C, 2003, 28: 515; LI R H, L C D, WANG W, WANG X X. Phys. Rev. D, 2009, 79: 014013; HUANG T, WU X G. Phys. Rev. D, 2005, 71: 034018[21] Wirbel M, Stech B, Bauerm. Z. Phys. C, 1985, 29: 637; Colangelo P, de Fazio F, Santorelli P, Scrimieri E. Phys. Lett. B, 1997, 395: 339[22] Beneke M, Feldmann T. pb, 2001, 592: 3[23] Buchalla G, Buras A J, Lautenbacher M E. Rev. Mod. Phys., 1996, 68: 1125[24] Colangelo P, de Fazio F, Ferrandes R, Pham T N. Phys. Rev. D, 2006, 73: 115006[25] LI H N, SHEN Y L, WANG Y M. Phys. Rev. D, 2012, 85: 074004[26] WANG W F, XIAO Z J. Phys. Rev. D, 2012, 86: 114025[27] CHEN C H, GENG C Q. JHEP, 2006, 10: 053; Ball P, Braun V M. Phys. Rev. D, 1997, 55: 5561[28] del Amo Sanchez P et al. (BABAR collaboration). Phys. Rev. D, 2011, 83: 032007[29] Beringer J et al. (Particle Data Group). Phys. Rev. D, 2012, 86: 010001[30] WANG Z G. arXiv:1209.1157v1[hep-ph]
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WANG Wen-Fei, FAN Ying-Ying and XIAO Zhen-Jun. Semileptonic decays Bc→(ηc,J/Ψ)lv in the perturbative QCD approach[J]. Chinese Physics C, 2013, 37(9): 093102. doi: 10.1088/1674-1137/37/9/093102
WANG Wen-Fei, FAN Ying-Ying and XIAO Zhen-Jun. Semileptonic decays Bc→(ηc,J/Ψ)lv in the perturbative QCD approach[J]. Chinese Physics C, 2013, 37(9): 093102.  doi: 10.1088/1674-1137/37/9/093102 shu
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Received: 2012-12-14
Revised: 2013-01-22
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Semileptonic decays Bc→(ηc,J/Ψ)lv in the perturbative QCD approach

    Corresponding author: XIAO Zhen-Jun,

Abstract: In this paper we study the semileptonic decays of Bc-→(ηc,J/Ψ)l-vl. We first evaluate the Bc→(ηc,J/Ψ) transition form factors F0(q2), F+(q2), V(q2) and A0,1,2(q2) by employing the pQCD factorization approach, and then we calculate the branching ratios for all considered semileptonic decays. Based on the numerical results and the phenomenological analysis, we find that: (a) the pQCD predictions for the values of the Bc→ηc and Bc→J/Ψ transition form factors agree well with those obtained by using other methods; (b) the pQCD predictions for the branching ratios of the considered decays are Br(Bc-→ηc e-ve-vμ)=(4.41-1.09+1.22)×10-3, Br(Bc-→ηcτ-vτ) =(1.37-0.34+0.37)×10-3, Br(Bc-→J/Ψ e-ve-vμ)) =(10.03-1.18+1.33)×10-3, and Br(Bc-→J/Ψτ-vτ) =(2.92-0.34+0.40)×10-3; and (c) we also define and calculate two ratios of the branching ratios Rηc and RJ/Ψ, which will be tested by LHCb and the forthcoming Super-B experiments.

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