  We perform a model independent analysis to identify new physics operators
which can enhance the branching ratio of $B_s^* \rightarrow \mu^+ \mu^-$ above
its Standard Model (SM) prediction. We find that none of the new physics
operators which provide a good fit to $b \rightarrow s \mu^+ \mu^-$ data can
enhance the Br($B_s^* \rightarrow \mu^+ \mu^-$) above its SM value.
