Analysis of B_s→φμ⁺μ⁻ decay within supersymmetry

Motivated by the first measurement on ℬ(B_s → φμ⁺μ⁻) by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic B_s→φμ⁺μ⁻ 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 that the new experimental upper limits of ℬ(B_s → μ⁺μ⁻) from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and (δ^u_LL)₂₃ as well as (δ^d_LL,RR)₂₃ mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from ℬ(B_s→φμ⁺μ⁻), ℬ(B→K(*) μ⁺μ⁻) and ℬ(B_s→μ⁺μ⁻), the dimuon forward-backward asymmetry and the differential dimuon forward-backward asymmetry of B_s→φμ⁺μ⁻ are highly sensitive to the squark exchange contribution and the (δ^u_LL)₂₃ mass insertion contribution. The results obtained in this work will be very useful in searching for supersymmetric signals at the LHC.