Re-examination of the rare decay $B_s \to \phi \mu^+ \mu^-$ using holographic light-front QCD

Abstract

We calculate the Standard Model (SM) predictions for the differential branching ratio of the rare $B_s \to \phi\mu^+ \mu^-$ decays using $B_s \to \phi$ transition form factors (TFFs) obtained using holographic light-front QCD (hQCD) instead of the traditional QCD sum rules (QCDSR) . Our predictions for the differential branching ratio is in better agreement with the LHCb data. Also, we find that the hQCD prediction for $R_{K^*\phi}$, the ratio of the branching fraction of $B \to K^* \mu^+ \mu^-$ to that of $B_s \to \phi\mu^+ \mu^-$ , is in excellent agreement with both the LHCb and CDF results in low $q^2$ range.