Complementarity of Bs→μ+μ− and B→Kℓ+ℓ− in New Physics searches

Abstract This year, LHC provided a very stringent bound on Br ( B s → μ + μ − ) , bringing it closer to the value predicted by the Standard Model (SM). B s → μ + μ − was believed to be the golden mode at LHCb to find SUSY because a large enhancement was expected in the regime of moderate and large values of tan β. Other scenarios are still possible and a correlation with other decay channels is needed. We show that a complementary information on New Physics (NP) can be obtained model-indepedently from the B → K l + l − decay mode. We provide a prediction Br ( B → K l + l − ) based on the first lattice QCD results for all three relevant form factors, f 0 , + ( q 2 ) and f T ( q 2 ) . We were then able to provide the model-independent bounds on the complex couplings to scalar and pseudoscalr operators in the b → s sector.