Study of the rare semileptonic decays $B_d^0\to K^{\ast }{l}^{+}{l}^{-}$ in scalar leptoquark model

Abstract

We study the effect of scalar leptoquarks on the exclusive rare $B$ meson decays ${\bar{B}}_d^0\to {\bar{K}}^{\ast 0}\left(\to K^{-}{\pi }^{+}\right)l^{+}{l}^{-}$ in the full kinematically accessible physical region. We work out the constraints on leptoquark parameter space using the measured branching ratio of $B_s\to {\mu }^{+}{\mu }^{-}$ process by the CMS and LHCb collaborations. We compute the branching ratio, forward-backward asymmetry and isospin asymmetry distribution using the constrained parameter space. We also look into various form factor independent and CP violating observables in the scalar leptoquark model.

Comments: 34 pages, 11 figures, version to appear in Phys. Rev. D