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We discuss the impact of recent LHCb data on the B -> K* mu+mu- decay for NewPhysics searches. We use an optimised set of observables with a limitedsensitivity to hadronic inputs (form factors), leading to a significantdeviation from the Standard Model for the semileptonic operator O9. Weascertain the robustness of our results with respect to models of powercorrections, charm-loop effects, factorisation approaches, possible effectsfrom resonance tails at low-recoil, choice of observables and binnings. Weexplain some contradictory results obtained for the chirality-flipped operatorO9prime by different analyses by focusing on the sensitivity of observables atlow recoil afflicted by the psi(4160) and possibly other resonances for B+-> K+mu+mu- and illustrating the need for a finely binned analysis at large recoil(rather than a wide [1-6] bin). Finally, we present updated results includingexperimental correlations in B -> K* mu+ mu- observables, confirming thedeviation seen with respect to the SM hypothesis (4.2 sigma for large-recoildata, 3.5 sigma for large- and low-recoil data).

Optimizing the basis of B -> K* l+l- observables and understanding its tensions