Exclusive semileptonic rare decays B→K(*)l+l- in a SUSY SO(10) GUT

In the SUSY SO(10) GUT context, we study the exclusive processes B→K(*)l+l-(l=μ,τ). Using the Wilson coefficients of the relevant operators including the new operators Q1,2' which are induced by neutral Higgs boson (NHB) penguins, we evaluate some possible observables associated with these processes like the invariant mass spectrum (IMS), lepton pair forward-backward asymmetry (FBA), lepton polarization asymmetries etc. In this model the contributions from Wilson coefficients CQ1,2', among new contributions, are dominant. Our results show that the NHB effects are sensitive to the FBA, dL/ds, and dT/ds ofB →K(*)τ+τ- decay, which are expected to be measured in B factories, the deviation of dT/ds in B→Kμ+μ- can reach 0.1 from SM, which could be seen in B factories, and the average of the normal polarization dN/ds can reach several percent for B→Kμ+μ- and it is 0.05 or so for B→Kτ+τ-, which could be measured in the future super B factories and provide useful information to probe new physics and discriminate different models. (orig.)