Relating B_s Mixing and B_s -> mu+mu- with New Physics

We perform a study of the Standard Model (SM) fit to the mixing quantities $\Delta M_{B_s}$, and $\Delta \Gamma_{B_s}/\Delta M_{B_s}$ in order to bound contributions of New Physics to $B_s$ mixing. We then use this to explore the branching fraction of $B_{s} \to \mu^+\mu^-$ in certain models of New Physics (NP). In most cases, this constrains NP amplitudes for $B_{s} \to \mu^+\mu^-$ to lie below the SM component.