Implications from $B\to K^* \ell^+\ell^-$ observables using LHCb data

Abstract

The decay $B\to K*\ell^+\ell^-$ is regarded as one of the most important modes to search for physics beyond the standard model as the angular distribution enables the independent measurement of a plethora of observables. To disentangle new physics from the standard model effect an ``exact'' test of standard model is needed. This drive us to derive a relation including all short-distance and long-distance effects, factorizable and non-factorizable contributions, complete electromagnetic corrections to hadronic operators up to all orders, resonance contributions and the finite lepton masses in a complete model independent approach. The violation of this relation will provide a smoking gun signal of new physics. The model independent framework has also been implemented in the maximum $q^2$ limit to highlight strong evidence of right-handed currents, which are absent in the SM. The conclusions derived are free from hadronic corrections. Our approach differs from other approaches that probe new physics at low $q^2$ as it does not require estimates of hadronic parameters but relies instead on heavy quark symmetries that are reliable at the maximum $q^2$ kinematic endpoint