Rare semileptonic $B\to K^* \ell^+ \ell^- $ decays in RS$_c$ model

Abstract

Recent LHCb measurements show small discrepancies with respect to the Standard Model (SM) predictions in selected angular distributions of the mode $B^0 \to K^{*0} \mu^+ \mu^-$. The possibility of explaining such tensions within theories beyond the SM crucially depends on the size of the deviations of the Wilson coefficients of the effective Hamiltonian for this mode, in comparison to their SM values. We analyse this issue in the framework of the Randall Sundrum model with custodial protection (RS$_c$); in our study we also consider the mode with $\tau$ leptons in the final state. We discuss the small deviations of RS$_c$ results from SM ones, found scanning the parameter space of the model.