Excess observed in CDF Bs0→μ ⁺μ ^- and supersymmetry at the LHC

The recent excess observed by CDF in Bs0→μ ⁺μ ^- is interpreted in terms of a possible supersymmetric origin. An analysis is given of the parameter space of mSUGRA and nonuniversal SUGRA under the combined constraints from LHC-7 with 1.04fb ^-1 of integrated luminosity, under the new XENON-100 limits on the neutralino-proton spin-independent cross section and under the CDF Bs0→μ ⁺μ ^- 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 Bs0→μ ⁺μ ^- for mSUGRA parameter points consistent with all constraints contains the following set of next to lightest particles beyond the standard model: chargino, stau, stop or CP odd (even) Higgs. The lower bounds of sparticles, including those from the LHC, XENON and CDF Bs0→μ ⁺μ ^- 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 Bs0→μ ⁺μ ^-. Implications of GUT-scale nonuniversalities in the gaugino and Higgs sectors are discussed.