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2024年10月30日

B → A transitions in the light-cone QCD sum rules with the chiral current

  • In this article, we calculate the form-factors of the transitions B → a1(1260), b1(1235) in the leading-order approximation using the light-cone QCD sum rules. In calculations, we choose the chiral current to interpolate the B-meson, which has the outstanding advantage that the twist-3 light-cone distribution amplitudes of the axial-vector mesons makes no contributions, and the resulting sum rules for the form-factors suffer from far fewer uncertainties. Then we study the semi-leptonic decays B → a1(1260) lvl, b1(1235) lvl (l=e,μ,τ), and make predictions for the differential decay widths and decay widths, which can be compared with the experimental data in the coming future.
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  • [1] Deandrea A, Gatto R, Nardulli G et al. Phys. Rev. D, 1999, 59: 074012 [arXiv:hepph/9811259][2] Alexander J P et al. (CLEO collaboration). Phys. Rev. Lett., 1996, 77: 5000[3] Kane G, Pierce A. Perspectives On LHC Physics. Singapore: World Scientific Publishing Company, 2008[4] CHENG H Y, CHUA C K, HWANG C W. Phys. Rev. D, 2004, 69: 074025 [arXiv:hepph/0310359][5] Scora D, Isgur N. Phys. Rev. D, 1995, 52: 2783 [arXiv:hepph/9503486][6] Aliev T M, Savci M. Phys. Lett. B, 1999, 456: 256 [arXiv:hepph/9901395][7] WANG Z G. Phys. Lett. B, 2008, 666: 477 [arXiv:0804.0907 [hepph]][8] YANG K C. Phys. Rev. D, 2008, 78: 034018 [arXiv:0807.1171 [hepph]][9] LI R H, L C D, WANG W. Phys. Rev. D, 2009, 79: 034014 [arXiv:0901.0307 [hepph]][10] HUANG T, LI Z H. Phys. Rev. D, 1998, 57: 1993[11] HUANG T, LI Z H, ZHANG H C, J. Phys. G, 1999, 25: 1179 [arXiv:hepph/9911308][12] HUANG T, LI Z H, WU X G. Phys. Rev. D, 2001, 63: 094001[13] WANG Z G, ZHOU M Z, HUANG T. Phys. Rev. D,2003, 67: 094006 [arXiv:hepph/0212336][14] SUN Y J, LI Z H, HUANG T. Phys. Rev. D, 2011, 83: 025024 [arXiv:1011.3901 [hepph]][15] Balitsky I I, Braun V M, Kolesnichenko A V. Nucl. Phys. B, 1989, 312: 509[16] YANG K C. JHEP, 2005, 0510: 108 [arXiv:hepph/0509337][17] YANG K C. Nucl. Phys. B, 2007, 776: 187 [arXiv:0705.0692 [hepph]][18] Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys. B, 1979, 147: 385[19] Chernyak V L, Zhitnitsky I R. Nucl. Phys. B, 1990, 345: 137[20] Colangelo P, Khodjamirian A. [arXiv:hepph/0010175][21] HUANG T, LI Z H, ZUO F. Eur. Phys. J. C, 2009, 60: 63 [arXiv:0809.0130 [hepph]][22] HUANG T, ZUO F. Eur. Phys. J. C, 2007, 51: 833 [arXiv:hepph/0702147][23] Bauer C W, Fleming S, Pirjol D et al. Phys. Rev. D, 2001, 63: 114020 [arXiv:hepph/0011336][24] WANG Y M, Aslam M J, L C D. Phys. Rev. D, 2008, 78: 014006 [arXiv:0804.2204 [hepph]][25] Khodjamirian A, Ruckl R. Adv. Ser. Direct. High Energy Phys., 1998, 15: 345 [arXiv:hepph/9801443]; Gray A et al. (HPQCD collaboration). Phys. Rev. Lett., 2005, 95: 212001 [arXiv:heplat/0507015]; Penin A A, Steinhauser M. Phys. Rev. D, 2002, 65: 054006 [arXiv:hepph/0108110]; Jamin M, Lange B O. Phys. Rev. D, 2002, 65: 056005 [arXiv:hepph/0108135][26] Nakamura K et al. (Particle Data Group), J. Phys. G, 2010, 37: 075021[27] HUANG T, LI Z H. Phys. Lett. B, 1998, 438: 159[28] Colangelo P, Fazio F D, Bartolomeo N D et al. Phys. Rev. D, 1995, 52: 6422[29] WANG Z G. Phys. Rev. D, 2008, 77: 054024[30] Lucha W, Melikhov D, Simula S. Phys. Rev. D, 2009, 79: 096011 [arXiv:0902.4202 [hepph]]
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SUN Yan-Jun, WANG Zhi-Gang and HUANG Tao. B → A transitions in the light-cone QCD sum rules with the chiral current[J]. Chinese Physics C, 2012, 36(11): 1046-1054. doi: 10.1088/1674-1137/36/11/003
SUN Yan-Jun, WANG Zhi-Gang and HUANG Tao. B → A transitions in the light-cone QCD sum rules with the chiral current[J]. Chinese Physics C, 2012, 36(11): 1046-1054.  doi: 10.1088/1674-1137/36/11/003 shu
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Received: 2012-02-15
Revised: 2012-03-14
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B → A transitions in the light-cone QCD sum rules with the chiral current

    Corresponding author: SUN Yan-Jun,
    Corresponding author: WANG Zhi-Gang,
    Corresponding author: HUANG Tao,

Abstract: In this article, we calculate the form-factors of the transitions B → a1(1260), b1(1235) in the leading-order approximation using the light-cone QCD sum rules. In calculations, we choose the chiral current to interpolate the B-meson, which has the outstanding advantage that the twist-3 light-cone distribution amplitudes of the axial-vector mesons makes no contributions, and the resulting sum rules for the form-factors suffer from far fewer uncertainties. Then we study the semi-leptonic decays B → a1(1260) lvl, b1(1235) lvl (l=e,μ,τ), and make predictions for the differential decay widths and decay widths, which can be compared with the experimental data in the coming future.

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