A New Window for New Physics in $B^0_s\to μ^+μ^-$

Details A New Window for New Physics in $B^0_s\to μ^+μ^-$ A New Window for New Physics in $B^0_s\to μ^+μ^-$

2012-04-08

arxiv.org/abs/1204.1737v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 2 figures, arXiv identifier of a reference added

Scientific paper

We have recently seen new upper bounds for $B^0_s\to \mu^+\mu^-$, 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 $B^0_s\to \mu^+\mu^-$ 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 $B^0_s\to \mu^+\mu^-$ lifetime $\tau_{\mu^+\mu^-}$, which offers a theoretically clean probe for New Physics searches that is complementary to the branching ratio. Should the $B^0_s\to \mu^+\mu^-$ 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.

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