Rare semileptonic $B\to K(\pi )l_i^{-}{l}_j^{+}$ decay in vector leptoquark model

Abstract

We investigate the consequence of vector leptoquarks on the rare semileptonic lepton flavour violating decays of $B$ meson which are more promising and effective channels to probe the new physics signal. We constrain the resulting new leptoquark parameter space by using the branching ratios of $B_{s,d}\to l^{+}{l}^{-}$, $K_L\to l^{+}{l}^{-}$ and ${\tau }^{-}\to l^{-}\gamma$ processes. We estimate the branching ratios of rare lepton flavour violating $B\to K(\pi )l_i^{-}{l}_j^{+}$ processes using the constrained leptoquark couplings. We also compute the forward-backward asymmetries and the lepton non-universality parameters of the LFV decays in the vector leptoquark model. Furthermore, we study the effect of vector leptoquark on $(g-2{)}_{\mu }$ anomaly.

Comments: 33 pages, 15 figures, version to appear in PRD