Lepton polarization asymmetry in radiative dileptonic B-meson decays in the minimal supersymmetric standard model

Abstract

In this paper we study the polarization asymmetries of the final state lepton in the radiative dileptonic decay of the B meson (B_s→l⁺l^-γ) in the framework of the minimal supersymmetric standard model (MSSM) and various other unified models within the framework of the MSSM, e.g., MSUGRA, SUGRA (where the condition of universality of scalar masses is relaxed), etc. Lepton polarization, in addition to having a longitudinal component (P_L), can have two other components P_T and P_N lying in and perpendicular to the decay plane, which are proportional to m_l and hence are significant for the final state being μ⁺μ^- or τ⁺τ^-. We analyze the dependence of these polarization asymmetries on the parameters of the various models.