Probing New Physics via the $B_s^0\to {\mu }^{+}{\mu }^{-}$ Effective Lifetime

Abstract

We have recently seen new upper bounds for $B_s^0\to {\mu }^{+}{\mu }^{-}$, a key decay to search for physics beyond the Standard Model. Furthermore a non-vanishing decay width difference $\Delta {\Gamma }_s$ of the $B_s$ system has been measured. We show that $\Delta {\Gamma }_s$ affects the extraction of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ branching ratio and the resulting constraints on the New Physics parameter space, and give formulae for including this effect. Moreover, we point out that $\Delta {\Gamma }_s$ provides a new observable, the effective $B_s^0\to {\mu }^{+}{\mu }^{-}$ lifetime ${\tau }_{{\mu }^{+}{\mu }^{-}}$, which offers a theoretically clean probe for New Physics searches that is complementary to the branching ratio. Should the $B_s^0\to {\mu }^{+}{\mu }^{-}$ branching ratio agree with the Standard Model, the measurement of ${\tau }_{{\mu }^{+}{\mu }^{-}}$, which appears feasible at upgrades of the LHC experiments, may still reveal large New Physics effects.

6 pages, 2 figures, title matches published version in Physical Review Letters

References in corpus (2)

• Strong constraints on the rare decays Bs -> mu+ mu- and B0 -> mu+ mu-
• Search for the decay Bs0 -> mu mu with the ATLAS detector

Cited by in corpus (13)

• Branching Ratio Measurements of $B_s$ Decays
• The Anatomy of Quark Flavour Observables in 331 Models in the Flavour Precision Era
• Indirect Probes of the MSSM after the Higgs Discovery
• Cornering New Physics in b --> s Transitions
• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• Supersymmetric constraints from Bs -> mu+mu- and B -> K* mu+mu- observables
• Supersymmetry confronts Bs -> mu+mu-: Present and future status
• The Minimal Flavour Violation benchmark in view of the latest LHCb data
• MSSM: Cornered and Correlated
• Search for the rare decay Bs->mumu
• B-meson decay constants and mixing on the lattice
• Rare Decays With LHCb
• Search for Pure Leptonic B Decays at ATLAS and CMS