Supersymmetric effects on the forward-backward asymmetries of $\overrightarrow{B}K{\mathrm{\tau }}^{+}{\mathrm{\tau }}^{-}$

Leptonic and semileptonic rare decays of B mesons provide significant (both theoretically and experimentally) signatures of any new physics beyond the standard model (SM). More specifically the decay $\overrightarrow{B}K{\mathcal{l}}^{-}{\mathcal{l}}^{+}$ has been theoretically observed to be very sensitive to new physics, as the forward-backward (FB) asymmetry in this decay mode vanishes in the SM. Supersymmetry, however, predicts a nonvanishing value of this asymmetry. In this work we will study the polarized lepton pair FB asymmetry, i.e. the FB asymmetry of the lepton when one (or both) final state lepton(s) are polarized. We will study these asymmetries both within the SM and for supersymmetric corrections to the SM.