Probe the effects of split SUSY in rare B decays

Abstract

We study the decays of $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ in split supersymmetry with R-parity violation. We find that the decay branching ratio of $B\to K{\tau }^{+}{\tau }^{-}$ in the new physics model due to the scalar interactions can be $1.8\times 10^{-6}$ which is about one order of magnitude larger that in the standard model, whereas those of $B\to K{\ell }^{+}{\ell }^{-}$ ($\ell =e$ and $\mu$) and the $K^{\ast }$ modes are insensitive to the new physics. On the other hand, the forward-backward asymmetries of $B\to K{\tau }^{+}{\tau }^{-}$ and $K{\mu }^{+}{\mu }^{-}$, 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 $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$.

Comments: 15 pages, 1 table, 5 figures, refs. added, typos revised, published version