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The recent excess observed by CDF in $B^0_s \to \mu^{+} \mu^{-}$ isinterpreted in terms of a possible supersymmetric origin. An analysis is givenof the parameter space of mSUGRA and non-universal SUGRA models under thecombined constraints from LHC-7 with 165 pb$^{-1}$ of integrated luminosity,under the new XENON-100 limits on the neutralino-proton spin independent crosssection and under the CDF $B^0_s \to \mu^{+} \mu^{-}$ 90% C.L. limit reportedto arise from an excess number of dimuon events. It is found that the predictedvalue of the branching ratio $B^0_s \to \mu^{+} \mu^{-}$ consistent with allthe constraints contains the following set of NLSPs: chargino, stau, stop or CPodd (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 inthe allowed range of sparticle masses arising solely due to the extraconstraint from the CDF result is given. It is pointed out that the two sidedCDF 90% C.L. limit puts upper bounds on sparticle masses. An analysis ofpossible signatures for early discovery at the LHC is carried out correspondingto the signal region in $B^0_s \to \mu^{+} \mu^{-}$. Implications of GUT-scalenon-universalities in the gaugino and Higgs sectors are discussed. If theexcess seen by the CDF Collaboration is supported by further data from LHCb orD0, this new result could be a harbinger for the discovery of supersymmetry.

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