${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ 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 $m_{\varphi }$ 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 $\vphi$.

arXiv comment17 pages, one tex file, 6 eps and 1 ps figures. Discussion on radion signal is made and few more references are added. Accepted in Phys Rev D

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