Prospects for $B^0_s\rightarrow\mu^+\mu^-$ at CMS

The Flavor Changing Neutral Current decay $B^0_s\rightarrow\mu^+\mu^-$ is highly suppressed in the Standard Model, but its branching fraction could be significantly enhanced through contributions from new physics. At the LHC, this rare decay could be observed for the first time. In this contribution, the prospects for search for $B^0_s\rightarrow\mu^+\mu^-$ with the CMS detector in a low luminosity LHC phase (${\mathcal L}=2\times 10^{33}$ cm$^{-2}$s$^{-1}$) are presented. In particular, some aspects of the experimental setup, the first and high level trigger selections, and the offline analysis are discussed.