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

This year, LHC provided a very stringent bound on Br(Bs→μ+μ−), bringing it closer to the value predicted by the Standard Model (SM). Bs→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→Kℓ+ℓ− decay mode. We provide a prediction Br(B→Kℓ+ℓ−) based on the first lattice QCD results for all three relevant form factors, f0,+(q2) and fT(q2). We were then able to provide the model-independent bounds on the complex couplings to scalar and pseudoscalr operators in the b→s sector.