Bs→l+l−in a type-II two-Higgs-doublet model and the minimal supersymmetric standard model

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In this paper we analyze the process ${B}_{s}\ensuremath{\rightarrow}{l}^{+}{l}^{\ensuremath{-}}$ in a type-II two-Higgs-doublet model (2HDM) and the minimal supersymmetric standard model (MSSM). All the leading terms of Wilson coefficients relevant to the process are given in the large $\mathrm{tan}\ensuremath{\beta}$ limit. It is shown that the decay width for ${B}_{s}\ensuremath{\rightarrow}{l}^{+}{l}^{\ensuremath{-}}$ depends on all parameters except ${m}_{{A}^{0}}$ in the 2HDM. The branching ratio of ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ can reach its experimental bound in some large $\mathrm{tan}\ensuremath{\beta}$ regions of the parameter space in the MSSM because the amplitude increases as ${\mathrm{tan}}^{3}\ensuremath{\beta}$ in the regions. For $l=\ensuremath{\tau},$ the branching ratio can even reach ${10}^{\ensuremath{-}4}$ in the regions. Therefore, the experimental measurements of leptonic decays of ${B}_{s}$ could put a constraint on the contributions of neutral Higgs bosons and consequently the parameter space in the MSSM.