Abstract
We investigate the rare decays \(B_{c} \rightarrow D_{s}(1968)\ell \overline{\ell}\) and \(B_{c}\rightarrow D_{s}^{*}(2317) \ell \overline{\ell}\) in the framework of the light-cone quark model (LCQM). The transition form factors are calculated in the space-like region and then analytically continued to the time-like region via exponential parametrization. The branching ratios and longitudinal lepton polarization asymmetries (LPAs) for the two decays are given and compared with each other. The results are helpful for investigating the structure of B c meson and for testing the unitarity of CKM quark mixing matrix. All these results can be tested in the future experiments at the LHC.
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T. Huang, X.G. Wu, M.Z. Zhou, Phys. Lett. B 611, 260 (2005)
J.P. Ma, Q. Wang, Phys. Lett. B 613, 39 (2005)
H.N. Li, H.S. Liao, Phys. Rev. D 70, 074030 (2004)
X.G. He, Y.K. Hsiao, J.Q. Shi, Y.L. Wu, Y.F. Zhou, Phys. Rev. D 64, 034002 (2001)
X.G. He, C.S. Li, L.L. Yang, Phys. Rev. D 71, 054006 (2005)
D.S. Du, C. Liu, D.X. Zhang, Phys. Lett. B 317, 179 (1993)
Y. Li, C.D. Lu, Z.J. Xiao, X.Q. Yu, Phys. Rev. D 70, 034009 (2004)
Y.L. Wu, Y.F. Zhou, Phys. Rev. D 71, 021701(R) (2005)
D.S. Du, H.Y. Jin, Y.D. Yang, Phys. Lett. B 414, 130 (1997)
Z.J. Xiao, K.T. Chao, C.S. Li, Phys. Rev. D 65, 114021 (2002)
C.H. Chang, Y.Q. Chen, Phys. Rev. D 46, 3845 (1992)
C.H. Chang, Y.Q. Chen, Phys. Rev. D 48, 4086 (1993)
C.H. Chang, Y.Q. Chen, Phys. Lett. B 284, 127 (1992)
C.H. Chang, C. Driouichi, P. Eerola, X.G. Wu, Comput. Phys. Commun. 159, 192 (2004)
C.H. Chang, X.G. Wu, Eur. Phys. J. C 38, 267 (2004)
C.H. Chang, C.F. Qiao, J.X. Wang, X.G. Wu, Phys. Rev. D 71, 074012 (2005)
C.H. Chang, J.X. Wang, X.G. Wu, Phys. Rev. D 77, 014022 (2008)
M.S. Alam et al. (CLEO Collaboration), Phys. Rev. Lett. 74, 2885 (1995)
K. Azizi, R. Khosravi, Phys. Rev. D 78, 036005 (2008)
C.Q. Geng, C.W. Hwang, C.C. Liu, Phys. Rev. D 65, 094037 (2002)
H.M. Choi, Phys. Rev. D 81, 054003 (2010)
A. Faessler, T. Gutsche, M.A. Ivanov, J.G. Korner, V.E. Lyubovitskij, Eur. Phys. J. C 4, 18 (2002)
N. Ghahramany, R. Khosravi, Z. Naseri, Phys. Rev. D 81, 036005 (2010)
B. Aubert et al. (BaBar Collaboration), Phys. Rev. Lett. 90, 242001 (2003)
S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)
S. Godfrey, R. Kokoski, Phys. Rev. D 43, 1679 (1991)
T. Barnes, F.E. Close, H.J. Lipkin, Phys. Rev. D 68, 054006 (2003)
A.P. Szczepaniak, Phys. Lett. B 567, 23 (2003)
H.Y. Cheng, W.S. Hou, Phys. Lett. B 566, 193 (2003)
W.A. Bardeen, E.J. Eichten, C.T. Hill, Phys. Rev. D 68, 054024 (2003)
M.A. Nowak, M. Rho, I. Zahed, Acta Phys. Pol. B 35, 2377 (2004)
G.P. Lepage, S.J. Brodsky, Phys. Rev. D 22, 2157 (1980)
S.J. Brodsky, T. Huang, G.P. Lepage, in Particles and Fields-2, ed. by A.Z. Capri, A.N. Kamal. Proceedings of the Banff Summer Institute, Banff, Alberta, 1981 (Plenum, New York, 1983), p. 143
S.J. Brodsky, H.C. Pauli, S.S. Pinsky, Phys. Rep. 301, 299 (1998)
H.Y. Cheng, C.Y. Cheung, C.W. Hwang, Phys. Rev. D 55, 1559 (1997)
H.Y. Cheng, C.K. Chua, C.W. Hwang, Phys. Rev. D 69, 074025 (2004)
H.M. Choi, C.R. Ji, L.S. Kisslinger, Phys. Rev. D 65, 074032 (2002)
J.H. Yu, T. Wang, C.R. Ji, B.-Q. Ma, Phys. Rev. D 76, 074009 (2007)
T. Huang, B.-Q. Ma, Q.-X. Shen, Phys. Rev. D 49, 1490 (1994)
B.-Q. Ma, T. Huang, J. Phys. G 21, 765 (1995)
B. Grinstein, M.B. Wise, M.J. Savage, Nucl. Phys. B 319, 271 (1989)
A.J. Buras, M. Münz, Phys. Rev. D 52, 186 (1995)
C.S. Lim, T. Morozumi, A.I. Sanda, Phys. Lett. B 218, 343 (1989)
N.G. Deshpande, J. Trampetic, K. Panose, Phys. Rev. D 39, 1461 (1989)
M. Wirbel, S. Stech, M. Bauer, Z. Phys. C 29, 637 (1985)
C.Q. Geng, C.P. Kao, Phys. Rev. D 54, 5636 (1996)
B.-Q. Ma, Z. Phys., A Hadrons Nucl. 345, 321 (1993)
B.-W. Xiao, X. Qian, B.-Q. Ma, Eur. Phys. J. C 15, 523 (2002)
B.-W. Xiao, B.-Q. Ma, Phys. Rev. D 68, 034020 (2003)
B.-W. Xiao, B.-Q. Ma, Phys. Rev. D 71, 014034 (2005)
E. Wigner, Ann. Math. 40, 149 (1939)
H.J. Melosh, Phys. Rev. D 9, 1095 (1974)
B.-Q. Ma, J. Phys. G 17, L53 (1991). arXiv:0711.2335 [hep-ph]
B.-Q. Ma, Q.-R. Zhang, Z. Phys. C 58, 479 (1993)
S.D. Drell, T.M. Yan, Phys. Rev. Lett. 24, 181 (1970)
G. West, Phys. Rev. Lett. 24, 1206 (1970)
C.R. Ji, H.M. Choi, Phys. Lett. B 513, 330 (2001)
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008)
X.X. Wang, W. Wang, C.D. Lu, Phys. Rev. D 79, 114018 (2009)
A.S. Kronfeld, arXiv:0912.0543 [hep-ph]
H.Y. Cheng, C.K. Chua, C.W. Hwang, Phys. Rev. D 69, 074025 (2004)
G. Burdman, Phys. Rev. D 52, 6400 (1995)
T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 103, 191802 (2009)
T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 100, 021803 (2008)
R. Louvot et al. (Belle Collaboration), Phys. Rev. Lett. 102, 021801 (2009)
D. Besson et al. (CLEO Collaboration), Phys. Rev. D 68, 032002 (2003)
B. Aubert et al. (BaBar Collaboration), Phys. Rev. D 69, 031101 (2004)
B. Aubert et al. (BaBar Collaboration), Phys. Rev. Lett. 93, 181801 (2004)
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Wang, T., Liu, T., Zhang, DX. et al. B c meson rare decays in the light-cone quark model. Eur. Phys. J. C 71, 1758 (2011). https://doi.org/10.1140/epjc/s10052-011-1758-3
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DOI: https://doi.org/10.1140/epjc/s10052-011-1758-3