Promising process to distinguish supersymmetric models with large tan beta from the standard model: B -> X-s mu(+)mu(-)

It is shown that in supersymmetric models the large supersymmetric contributions to 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 beta 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 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 beta greater than or equal to 30.