Decay $B\to K^{\ast }(\to K\pi ){\ell }^{+}{\ell }^{-}$ in covariant quark model

Abstract

Our article is devoted to the study of the rare $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$~decay where $\ell =e,\mu ,\tau$. We compute 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 $B\to K^{\ast }(\to K\pi ){\ell }^{+}{\ell }^{-}$. We compare the obtained results with available experimental data and the results from other theoretical approaches.

Comments: 39 pages, 11 figures. References and discussion added. Accepted by Few-Body Systems for publication. arXiv admin note: text overlap with arXiv:hep-ph/0608015 by other authors