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

Abstract

We calculate the Standard Model (SM) predictions for the differential branching ratio of the rare $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ decays using $B_s\to \varphi$ 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 $R_{K^{\ast }\varphi }$, the ratio of the branching fraction of $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ to that of $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ , is in excellent agreement with both the LHCb and CDF results in low $q^2$ range.

Comments: 17 pages, 6 figures, to appear in Physical Review D