Probe the effects of split SUSY in rare B decays

We study the decays of B → K(*)l⁺l^- in split supersymmetry with R-parity violation. We find that the decay branching ratio of B → Kτ⁺τ^- in the new physics model due to the scalar interactions can be 1.8 × 10^-6 which is about one order of magnitude larger than in the standard model, whereas those of B → Kl⁺l^- (l = e and μ) and the K* modes are insensitive to the new physics. On the other hand, the forward-backward asymmetries of B → Kτ⁺τ^- and Kμ⁺μ^-, vanishing in the standard model, can be over 10 and 1%, respectively. In addition, we show that the new interactions will significantly change the forward-backward asymmetry in B → K*τ⁺τ^-.