$B_s \rightarrow \mu^{+} \mu^{-}$ at the LHC

Due to its sensitivity to New Physics contributions, the branching ratio of the very rare decay $B_s \rightarrow \mu^{+} \mu^{-}$ is one of the most interesting measurements that can be performed at the LHC. The current limit from the CDF experiment is still one order of magnitude above the Standard Model prediction. In this article, the analysis strategy for this channel in the LHC experiments is presented, as well as the potential of the LHC experiments in such studies. The first 10 months of LHC running can be enough to overtake the current CDF upper limit, or even the expected limit at the end of Tevatron’s Run II. With five years of data taking at nominal luminosity, values smaller than the Standard Model prediction can be observed.