$B \to X_{s} τ^{+} τ^{-}$ in the flipped SU(5) model

We perform a detailed study of the inclusive branching ratio and the forward-backward asymmetry of the rare B decay process $B \longrightarrow X_{s} \tau^{+} \tau^{-}$ in the flipped SU(5) model, a predictive model which has only two free parameters, plus the sign of the higgs mixing mass $\mu$, to describe mass spectrum and mixings of about 30 sparticles. In contrast to other works dealing with such a topic, our study has included the contributions of the neutral higgs bosons through penguin diagrams to this process under the context of supersymmetry. In some regions of the parameter space, due to the substantial enhancement effects coming from supersymmetry, these contributions become quite significant and could make the flavor change process $B \longrightarrow X_{s} \tau^{+} \tau^{-}$ a microscope to probe the regions of large tan$\beta$ and a window to gain an insight into new physics beyond the standard model(SM).