Exclusive Semileptonic Rare Decays B → (K,K∗)l+l− in Supersymmetric Theories

The invariant mass spectrum, forward-backward asymmetry, and lepton longitude polarization of the exclusive processes B → K(K)ll, l = μ, τ are analyzed under supersymmetric context. Special attention is given to the effects of neutral Higgs bosons. Our analysis shows that for the process B → Kμμ, the branching ratio can be quite largely modified by the effects neutral Higgs bosons and the forward-backward asymmetry would not vanish. For the process B → Kμμ, the lepton transverse polarization is quite sensitive to the effects of NHBs, while the invariant mass spectrum, forward-backward asymmetry, and lepton longitude polarization are not. For both B → Kττ and B → Kττ, the effects of NHBs are quite significant. The partial decay widths of these processes are also analyzed, and our analysis manifest that even taking into account the theoretical uncertainties in calculating weak form factors, the effects of NHBs could make SUSY shown up. Pacs numbers: 13.20.He, 13.25.Hw, 12.60.Jv ∗ E-mail : [email protected]; [email protected] † E-mail : [email protected] ‡ E-mail: [email protected] § E-mail: [email protected]