${\bar B_s} \to \mu^+ \mu^-$ decay in the Randall-Sundrum model

Abstract

We investigate the ${\bar B_s} \to \mu^+ \mu^-$ decay in the presence of a light stabilized radion in Randall-Sundrum model. The branching ratio $BR({\bar B_s} \to \mu^+ \mu^-)$ in the standard model is found to be $3.17 \times 10^{-9}$ (two order smaller than the experimental upper bound) and raises the question whether some new physics can play a crucial role or not. We found that for a reasonable range of parameters (i.e. radion mass $m_\phi$ and radion vev $\vphi$), the above deficit between the experimental bound and the standard model result can well be accomodated. Using this upper bound on $BR({\bar B_s} \to \mu^+ \mu^-)$, we obtain the lower bound on $\vphi$.