Are operators describing b→sγ?

  • The operators of b→sγ, b→sl+l- are usually regarded as being sufficient to describe b→sγγ, b→sl+l-γ with the statement that contributions from diagrams without an effective vertex b→sγ to processes b→sγγ and b→sl+l-γ are negligible. In this work we present a comprehensive analysis of the transition b→sγγ and find that 1) Effects due to off-shell quarks in vertex b→sγ on b→sγγ are large; 2) Contributions from diagrams without an effective vertex b→sγ to b→sγγ are not negligible compared with others; 3) These effects cancel each other out exactly, so the operators of b→sγ can safely be used to describe b→sγγ.
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  • [1] HENG Z et al. Phys. Rev. D, 2008, 77: 095012. LU G, XIONG Z, CAO Y. Nucl. Phys. B, 1997, 487: 43; XIONG Z H, YANG J M. Nucl. Phys. B, 2001 602: 289 and 2002, 628: 193; LU G et al. Phys. Rev. D, 1996, 54: 5647; LU C D, ZHANG D X, Phys. Lett.B, 1997, 397: 279; XU Y, WANG R, YANG Y D. Phys. Rev. D, 2006, 74: 114019; LI W J, DAI Y B, HUANG C S. Eur. Phys. J. C, 2005, 40: 565; HUANG C S, WU X H. Nucl. Phys. B, 2003, 657: 304; HUANG C S, LIAO W, YAN Q S, ZHU S H. Eur. Phys. J. C, 2002, 25: 103; Phys. Rev. D, 2001, 63: 1140212 Aliev T M, Iltan E O. Phys. Rev. D, 1998, 58: 095014; Aliev T M, Ozpineci A, Savci M. Phys. Rev. D, 1997, 55: 7059; Kim C S, Kim Y G, LU C D. Phys. Rev. D, 2001, 64: 094014; Ali A, Hiller G. Phys. Rev. D, 1999, 60: 034017; CHEN J X, HOU Z Y, LU C D. Commun. Theor. Phys. 2007, 47: 299; XIAO Z J, LU C D, HUO W J. Phys. Rev. D, 2003, 67: 094021; ZOU W J, XIAO Z J. Phys. Rev. D, 2005, 72: 094026; HUANG C S, LIAO W. Phys. Lett. B, 2002, 525: 107; HUANG C S, ZHU S H. Eur. Phys. Rev.D, 2001, 61: 015001; XIAO Z J, LU L X. Phys. Rev.D, 2006, 74: 034016; LIU W, YUE C X, YANG H D. arXiv:0901.34633 CAO J J, LU G U, XIAO Z J. Phys. Rev. D, 2001, 64: 0140124 CHANG C U, LIN G L, YAO Y P. Phys. Lett. B,1997, 415: 395; LIN G L, LIU J, YAO Y P. Phys. Rev. Lett., 1990, 64: 1498 and Phys. Rev. D, 1990, 42: 2314; Low F E, Phys. Rev., 1958, 110: 9745 Deshande N G, Nazerimonfarde M, Nucl. Phys. B, 1983, 213: 3906 Gunion J F, Haber H E. Nucl. Phys. B, 1986, 278: 4497 Inami T, Lim C S, Prog. Theor. Phys., 1981, 65: 2978 Chetyrkin K, Misiak M, Munz M. Phys. Lett. B, 1997, 400: 206; Ciuchini M, Degrassi G, Gambino P, Neubert M, Nucl. Phys. B, 1998, 527: 21; Kagan A K, Neubert M. Eur. Phys. J. C, 1999, 7: 5
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DONG Fan-Long, WANG Wen-Yu and XIONG Zhao-Hua. Are operators describing b→sγ?[J]. Chinese Physics C, 2011, 35(1): 6-10. doi: 10.1088/1674-1137/35/1/002
DONG Fan-Long, WANG Wen-Yu and XIONG Zhao-Hua. Are operators describing b→sγ?[J]. Chinese Physics C, 2011, 35(1): 6-10.  doi: 10.1088/1674-1137/35/1/002 shu
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Received: 2010-03-09
Revised: 2010-03-22
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Are operators describing b→sγ?

Abstract: The operators of b→sγ, b→sl+l- are usually regarded as being sufficient to describe b→sγγ, b→sl+l-γ with the statement that contributions from diagrams without an effective vertex b→sγ to processes b→sγγ and b→sl+l-γ are negligible. In this work we present a comprehensive analysis of the transition b→sγγ and find that 1) Effects due to off-shell quarks in vertex b→sγ on b→sγγ are large; 2) Contributions from diagrams without an effective vertex b→sγ to b→sγγ are not negligible compared with others; 3) These effects cancel each other out exactly, so the operators of b→sγ can safely be used to describe b→sγγ.

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