Polarization observables in rare decay B->K*(->K Pi )l+l-

G.S. Nurbakova, N. Habyl, В.А. Mukushev, Zh.Zh. Tyulemissov


Our article is devoted to the study of the B->K*(->K Pi )l+l- decay. Rare decay B->K*(->K Pi )l+l- is one of the best modes to search for new physics beyond the Standard Model (SM). A large number of observables allow for unique tests of the SM contributions. We calculate the relevant form factors in the framework of the covariant quark model with infrared confinement in the full kinematical momentum transfer region. The calculated form factors are used to evaluate branching fractions and polarization observables in the cascade decay B->K*(->K Pi )l+l-. We compare the obtained results with available experimental data and the results from other theoretical approaches. We show the relation of our helicity formalism with an approach based on the transversality amplitudes which is widely used by both experimentalists and theorists.

Ключевые слова

relativistic quark model, confinement, B-meson, rare decay, form factor, polarization observables.

Полный текст:

PDF (English)


Langenbruch C. LHCb Collaboration Latest results on rare decays from LHCb // http://arxiv.org/abs/1505.04160.

Aaij R. et al. LHCb Collaboration Test of lepton universality using Bkll  decays // Phys. Rev. Lett. – 2014. – Vol.113. – P. 151-601.

Aaij R. et al. LHCb Collaboration Measurement of form-factor independent observables in the decay 0 0Bk   // Phys. Rev. Lett. – 2013. – Vol.111. – P. 191-801.

Zhaugasheva S.A., Nurbakova G.S., Saidullaeva G.G., Khabyl N. Form factors for BKll decay // International Journal of mathematics and physics 5. – 2014. – No. 2. – P. 52-56.

Zhaugasheva S.A., Saidullaeva G.G., Nurbakova G.S., Khabyl N., Bekbaev A.K. Rare bs - decays in the covariant quark model // International Journal of mathematics and physics 5. – 2014. – No. 2. – P. 68-76.

Branz T., Faessler A., Gutsche T., Ivanov M. A., K¨orner J. G., Lyubovitskij V. E. Relativistic constituent quark model with infrared confinement // Phys. Rev. D – 2010. – Vol.81. – P. 034010.

Ganbold G., Gutsche T., Ivanov M. A. and Lyubovitskij V. E. On the meson mass spectrum in the covariant confined quark model // J. Phys. G. – 2015. – Vol.42. – P. 075002.

Kruger F. and Matias J. Probing New Physics Via the Transverse Amplitudes of B0-> K*0(-> K-pi+) l+l- at Large Recoil // Phys. Rev. D. – 2005. – Vol.71. – P. 094009.

Matias J., Mescia F., Ramon M. and Virto J. Complete Anatomy of BKll and its angular distribution // JHEP. – 2012. – Vol.1204. – P. 104.

Descotes–Genon S., Hurth T., Matias J. and Virto J. Optimizing the basis of BKll observables in the full kinematic range // JHEP. – 2013. – Vol.1305. – P. 137.

Olive K. A. et al. Particle Data Group Collaboration // Chin. Phys. C. – 2014. – Vol.38. – P. 090001.

Aaij R. et al. LHCb Collaboration Differential branching fractions and isospin asymmetries of BK    decays // JHEP. – 2014. – Vol.1406. – P. 133.

Pescatore L. LHCb Collaboration Rare decays at the LHCb experiment // http://arxiv.org/abs/14