Analysis of $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ decay within supersymmetry

Abstract

Motivated by the first measurement on $\mathcal{B}(B_s\to \varphi {\mu }^{+}{\mu }^{-})$ by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ decay. In our evaluations, we analyze the dependences of the dimuon invariant mass spectrum and the forward-backward asymmetry on relevant supersymmetric couplings in the MSSM with and without R-parity. The analyses show the new experimental upper limits of $\mathcal{B}(B_s\to {\mu }^{+}{\mu }^{-})$ from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and $({\delta }_{LL}^u{)}_{23}$ as well as $({\delta }_{LL,RR}^d{)}_{23}$ mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from $\mathcal{B}(B_s\to \varphi {\mu }^{+}{\mu }^{-})$, $\mathcal{B}(B\to K^{(\ast )}{\mu }^{+}{\mu }^{-})$ and $\mathcal{B}(B_s\to {\mu }^{+}{\mu }^{-})$, the dimuon forward-backward asymmetry and the differential dimuon forward-backward asymmetry of $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ are highly sensitive to the squark exchange contribution and the $({\delta }_{LL}^u{)}_{23}$ mass insertion contribution. The results obtained in this work will be very useful in searching supersymmetric signal at the LHC.

Comments: 12 pages, 4 figures