Form factors for BK l+l- decay

Authors

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

DOI:

https://doi.org/10.26577/2218-7987-2014-5-2-52-56
        46 50

Abstract

The exclusive BV(P)l+l- and BV decays, with a vector (V=K*, , …) or pseudo scalar (P=K, , …) meson in the final state are important for the search for flavour-changing new physics. In this paper we study one of the exclusive rare decays of pseudo scalar B mesons: BKl+l- by using a relativistic constituent quark model, including infrared connement. We calculate the relevant form factors of the (BP) transitions in the full kinematical range of momentum transfer. The calculated form factors are used to evaluate differential decay rates and polarization observables. We present numerical results on these observables using the covariant quark model. This model can be viewed as an effective quantum field theory approach based on an interaction Lagrangian of hadrons interacting with their constituent quarks. Universal and reliable predictions for exclusive processes involving both mesons composed from a quark and antiquark and baryons composed from three quarks result from this approach.

References

1. Abe K. et al. Observation of the decay BKl+l- // Phys. Rev. Lett. – 2002. – Vol. 88. – P. 021801.
2. Ivanov M.A., Korner J.G., Lyubovitskij V.E. b  and c  baryon decays at finite values of heavy quark masses // Phys. Lett. B – 1999. – Vol. 448. – P. 143.
3. Faessler A., Gutsche T., Ivanov M.A., Korner J.G., Lyubovitskij V.E. Semileptonic decays of double heavy baryons // Phys. Lett. B. –
2001. – Vol. 518. – P. 55-62.
4. Salam A. Lagrangian Theory of Composite Particles // Nuovo Cim. – 1963. – V.25. – P.224.
5. Efimov G.V., Ivanov M.A. The Quark Confinement Model of Hadrons // Int. J. Mod. Phys. A – 1989. – Vol. 4. – P. 2031.
6. Ball P., Zwicky R., * Bd ,s ,,K , decay form factors from light cone sum rules reexamined // Phys. Rev. D. – 2005. – Vol. 71. – P.014029.
7. 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.
8. Ivanov M.A., Kalinovsky Y.L., Roberts C.D. Survey of heavy-meson observables // Phys. Rev. D – 1999. – Vol. 60. – P.034018.
9. Branz T., Faessler A., Gutsche T., Ivanov M.A., Korner J.G., and Lyubovitskij V.E. Relativistic constituent quark model with infrared confinement // Phys. Rev. D – 2010. – Vol. 81. – P.034010.

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How to Cite

Zhaugasheva, S. A., Nurbakova, G. S., Saidullaeva, G. G., & Khabyl, N. (2014). Form factors for BK l+l- decay. International Journal of Mathematics and Physics, 5(2), 57–60. https://doi.org/10.26577/2218-7987-2014-5-2-52-56