Motivated by the recent measurement of the lepton flavour nonuniversality ratio $R_{ K^*}$ by the LHCb Collaboration, we study the implications of vector leptoquarks on the observed anomalies associated with the $\bar B \to \bar K^* l^+ l^-$ decay processes. The leptoquark couplings are constrained from the measured branching ratios of $B_s \to l^+ l^-$, $K_L \to l^+ l^-$ and $B_s \to \mu^\mp e^\pm$ processes. Using these constrained couplings, we estimate the branching ratios, forward-backward and lepton polarization asymmetries and also the form factor independent optimized observables ($P_{ i}^{ (\prime)}$) for $\bar B \to \bar K^* l^+ l^-$ modes in the high recoil limit. We also study the other lepton flavour universality violating observables, such as $Q_{ F_{ L, T}}$, $Q_{ i}$ and $B_{ 5, 6s}$, where $i=1,2,\cdots6, 8$. Furthermore, we investigate the lepton flavour violating $K_L \to \mu^\mp e^\pm$ decay process in this model.
Categories: hep-ph