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

Abstract

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.

27 pages, 5 figures; corrected misprints, updated numerical inputs and new references

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• Implications of LHCb measurements and future prospects
• One constraint to kill them all?
• New Physics in b -> s mu+ mu-: CP-Conserving Observables
• B_s->D_s/B->D Semileptonic Form-Factor Ratios and Their Application to BR(B^0_s->μ^+μ^-)
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