Starting from the present hints for New Physics in b→sμμ transitions, I will discuss a set of correlated observables in both high-pT measurements and flavor physics observables. In the first class, LHC dimuon searches offer a strong test for several flavor structures potentially underlying to the anomalous transitions, including MFV.
I will then introduce the Rank-One Flavor Violation assumption, which is automatically satisfied in a large set of UV models, including all single-leptoquark ones. The resulting flavor structure allows to correlate the anomalies with a large set of flavor observables. Present measurements already exclude a sizeable region of parameter space and future prospects show an almost complete coverage of the framework.