Rare $B_s$ decays to $\hat{I}\cdot$ and $\hat{I}{\cdot }^{\prime }$ final states

Abstract

We study exclusive $B_s$ decays to final states with $\hat{I}\cdot$ and $\hat{I}{\cdot }^{\prime }$, induced by the rare $b\to s{\ell }^{+}{\ell }^{-}$ and $b\to s\hat{I}½\bar{\hat{I}}½$ transitions. Differential decay rates and total branching fractions are predicted in the Standard Model, adopting the flavour scheme for the description of the $\hat{I}\cdot$-$\hat{I}{\cdot }^{\prime }$ mixing. We discuss the theoretical uncertainty related to the hadronic matrix elements. We also consider these decay modes in a new Physics scenario with a single universal extra dimension, studying the dependence of branching ratios and decay distributions on the compactification scale $R^{-1}$ of the extra dimension.

RevTeX, 10 pages, 4 figures