Abstract
The purely leptonic rare decay ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ is very sensitive to supersymmetric contributions which are free from the helicity suppression of its Standard Model diagrams. The recent observation of the decay by the LHCb experiment and the first determination of its branching fraction motivate a review of their impact on the viable parameter space of supersymmetry (SUSY). In this paper we discuss the implications of the present and expected future accuracy on $\mathrm{BR}({B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}})$ for constrained and unconstrained scenarios of the minimal supersymmetric extension of the Standard Model, in relation to the results from direct SUSY searches and the Higgs data at the LHC. While the constraints from $\mathrm{BR}({B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}})$ can be very important in specific SUSY regions, we show that the current result, and even foreseen future improvements in its accuracy, will leave a major fraction of the SUSY parameter space, compatible with the results of direct searches, unconstrained. We also highlight the complementarity of the ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ decay with direct SUSY searches.
Highlights
The rare decay Bs → μ+μ− has been recognised as a probe of new physics beyond the Standard Model (SM) and one of the high priority channels for study in the LHC B physics program
The observation of the rare decay Bs → μ+μ− and the first determination of its branching fraction by the LHCb experiment represent a major milestone of the probe of physics beyond the SM through rare decays of b hadrons
We have reviewed the predictions for the branching fraction of this decay in the SM and the Minimal Supersymmetric Standard Model (MSSM) and discussed the impact of the new LHCb result and the expected final LHC accuracy on the supersymmetric extensions of the SM (SUSY) parameter space in two models: the Constrained MSSM (CMSSM) and the phenomenological MSSM (pMSSM)
Summary
The rare decay Bs → μ+μ− has been recognised as a probe of new physics beyond the Standard Model (SM) and one of the high priority channels for study in the LHC B physics program. We discuss these implications in the context of constrained and unconstrained MSSM models, with R-parity and CP conservation, with an eye on the future experimental progress of this measurement at the LHC. We show that the constraining power of BR(Bs → μ+μ−) is important in specific regions of the MSSM, but leaves substantial room for the SUSY parameters We quantify this by studying the fraction of the MSSM model points, obtained in flat scans of the parameter space, which are compatible with the present and future BR(Bs → μ+μ−) constraints in the framework of the Constrained MSSM (CMSSM) and the phenomenological MSSM (pMSSM) with 19 free parameters, and account for the results on the Higgs mass and direct SUSY searches at ATLAS and CMS.
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