Excess Observed in CDF $B^0_s \to \mu^{+} \mu^{-}$ and SUSY at the LHC

TL;DR

This paper explores the implications of the CDF observed excess in $B^0_s o \mu^{+} \mu^{-}$ decays for supersymmetric models, analyzing parameter space constraints and potential early LHC signatures.

Contribution

It provides a comprehensive analysis of supersymmetric parameter space considering recent experimental constraints and discusses possible signatures for early LHC discovery.

Findings

Predicted $B^0_s o \mu^{+} ext{ }\mu^{-}$ branching ratios compatible with constraints.

Identifies NLSP candidates: chargino, stau, stop, or Higgs.

Establishes bounds on sparticle masses from combined experimental data.

Abstract

The recent excess observed by CDF in $B^0_s \to \mu^{+} \mu^{-}$ is interpreted in terms of a possible supersymmetric origin. An analysis is given of the parameter space of mSUGRA and non-universal SUGRA models under the combined constraints from LHC-7 with 165 pb$^{-1}$ of integrated luminosity, under the new XENON-100 limits on the neutralino-proton spin independent cross section and under the CDF $B^0_s \to \mu^{+} \mu^{-}$ 90% C.L. limit reported to arise from an excess number of dimuon events. It is found that the predicted value of the branching ratio $B^0_s \to \mu^{+} \mu^{-}$ consistent with all the constraints contains the following set of NLSPs: chargino, stau, stop or CP odd (even) Higgs. The lower bounds of sparticles, including those from the LHC, XENON and CDF $B^0_s\to \mu^+\mu^-$ constraint, are exhibited and the shift in the allowed range of sparticle masses arising solely due to the extra constraint from the CDF result is given. It is pointed out that the two sided CDF 90% C.L. limit puts upper bounds on sparticle masses. An analysis of possible signatures for early discovery at the LHC is carried out corresponding to the signal region in $B^0_s \to \mu^{+} \mu^{-}$. Implications of GUT-scale non-universalities in the gaugino and Higgs sectors are discussed. If the excess seen by the CDF Collaboration is supported by further data from LHCb or D0, this new result could be a harbinger for the discovery of supersymmetry.