Rare bs - decays in the covariant quark model

Authors

  • S. A. Zhaugasheva
  • G. G. Saidullaeva
  • G. S. Nurbakova
  • N. Khabyl
  • A. K. Bekbaev

DOI:

https://doi.org/10.26577/2218-7987-2014-5-2-68-76
        42 47

Abstract

Considering the surge of great interest to the problem of CP violation recently observed in a Bs  Bs system, decays of Bs to D  D and color suppressed decay Bs → J/ψ φ attracted the attention of both theorists and experimentalists. We find new values for the covariant quark model parameters (with built-in infrared confinement) in the meson sector by fitting the leptonic decay constants and a number of electromagnetic decays, and then evaluate in a parameter-free way the form factors of B(Bs) → P(V) transitions within an entire kinematic range of the momentum transfer. Our results are applied to calculating the widths of nonleptonic Bs decays to , * * S S S S S S DD D D  DD  and * * S S D D  . The largest contribution to ΔΓ for s s B  B system comes from these modes. The nonleptonic decay Bs → J/ψφ is also considered. Though this decay mode is color suppressed it has important implications in the search for possible CP-violating novel physics effects in s s B  B mixing.

References

1. El-Bennich B., J.P.B.C. de Melo, Leitner O., Loiseau B., Dedonder J.P. // in Erice School on Nuclear Physics 2011: From Quarks and Gluons to
Hadrons and Nuclei (unpublished).
2. Faller S., Fleischer R., Mannel T. Precision Physics with Bs → J/ψφ at the LHC: The Quest for New Physics // Phys. Rev. D. – 2009. – Vol. 79. – P.014005.
3. Buchalla G., Buras A.J., Lautenbacher M.E. Weak decays beyond leading logarithms // Rev. Mod. Phys. – 1996. – Vol. 68. – P.1125-1144.
4. Beneke M., Buchalla G., Neubert M. and Sachrajda C.T. QCD factorization for B decays: Strong phases and CP violation in the
heavy quark limit // Phys. Rev. Lett. – 1999. – Vol.
83. – P.1914.
5. Beneke M., Neubert M. QCD factorization for B  P P and BVP decays // Nucl. Phys. B. – 2003. – Vol. 675. – P.333-415.
6. Feldmann T. Soft-Collinear Effective Theory: Recent Results and Applications // PoS Confinement8: Book of proceedings. – 2008. – N.
007. – 10 p.
7. Bauer C.W., Fleming S., Pirjol D., Stewart I.W. An Effective eld theory for collinear and soft gluons: Heavy to light decays // Phys. Rev. D. –
2001. – Vol. 63. – P.114020.
8. Ball P. and Zwicky R. * , , , , d sB  K  decay
form factors from light cone sum rules reexamined // Phys. Rev. D. – 2005. – Vol. 71. – P.014029.
9. Khodjamirian A., Mannel T., and Offen N. Form factors from light cone sum rules with BMeson Distribution Amplitudes // Phys. Rev. D –
2007. – Vol. 75. – P. 054013.
10. Grinstein B., Pirjol D. Exclusive rare BK l l  – decays at low recoil: Controlling the
long-distance effects // Phys. Rev. D. – 2004. –
Vol. 70. – P.114005.
11. Bobeth C., Hiller G., van Dyk D. The Bene.ts of BK l l  decays at Low Recoil // Journal of High Energy Physics. – 2010. – Vol.
1007. – P. 098.
12. Bobeth C., Hiller G., van Dyk D. More Benefits of Semileptonic Rare B Decays at Low Recoil: CP Violation // Journal of High Energy
Physics. – 2011. – V.1107. – P.067.
13. Ivanov M.A., K.orner J.G., Kovalenko S. G., Roberts C. D. B to light-meson transition formfactors
// Phys. Rev. D. – 2007. – Vol. 76. –
P.034018.
14. Melikhov D., Nikitin N. and Simula S. Rare exclusive semileptonic b –> s transitions in the standard model // Phys. Rev. D. – 1998. – Vol. 57.
– P.6814.
15. Melikhov D. Dispersion approach to quarkbinding e.ects in weak decays of heavy mesons // Eur. Phys. J. direct C. – 2002. – Vol. 4. – P.1.
16. Ebert D., Faustov R.N., Galkin V.O. New analysis of semileptonic B decays in the relativistic
quark model // Phys. Rev. D. – 2007. – V. 75. –
P.074008.
17. Ladisa M., Nardulli G., Santorelli P. Semileptonic and rare B meson decays into a light pseudoscalar meson // Phys. Lett. B. – 1999. –
V.455. – P.283-290.
18. Colangelo P., De Fazio F., Ladisa M.
Nardulli G., Santorelli P. and Tricarico A. Semileptonic and rare B meson transitions in a QCD relativistic potential model // Eur. Phys. J.C. –
1999. – V.8. – P.81.
19. Colangelo P., De Fazio F., Santorelli P.,
Scrimieri E. QCD sum rule analysis of the decays
BK l l  and BK* ll // Phys. Rev. D. –
1996. – V.53. – P.3672-3686.
20. Colangelo P., Santorelli P. Dependence of the form-factors of B lepton neutrino on the heavy quark mass // Phys. Lett. B. – 1994. – V.327. – P.123-128.
21. Ivanov M. A., K.orner J. G., Kovalenko S. G., Santorelli P. and Saidullaeva G. G. Form factors for semileptonic, nonleptonic and rare B (Bs) meson decays // Phys. Rev. D. – 2012. – Vol. 85. –
P.034004.

Downloads

How to Cite

Zhaugasheva, S. A., Saidullaeva, G. G., Nurbakova, G. S., Khabyl, N., & Bekbaev, A. K. (2014). Rare bs - decays in the covariant quark model. International Journal of Mathematics and Physics, 5(2), 68–76. https://doi.org/10.26577/2218-7987-2014-5-2-68-76

Issue

Section

Nuclear Physics and Nanotechnology