Promising process to distinguish supersymmetric models with large tan β from the standard model:B→Xsμ+μ−

It is shown that in supersymmetric models the large supersymmetric contributions to $\overrightarrow{B}{X}_s{\mu }^{+}{\mu }^{-}$ come from the Feynman diagrams which consist of exchanging neutral Higgs boson loops and are proportional to $m_b{m}_{\mu }{\tan }^3\beta {/m}_h^2$ when tan β is large and the mass of the lightest neutral Higgs boson $m_h$ is not too large (say, less than 150 GeV). Numerical results show that the branching ratios of $\overrightarrow{B}{X}_s{\mu }^{+}{\mu }^{-}$ can be enhanced by more than 100% compared to the standard model (SM) and the backward-forward asymmetry of the lepton is significantly different from that in the SM when tan β⩾30.