Comprehensive Bayesian analysis of rare (semi)leptonic and radiative [Formula: see text] decays

The available data on [Formula: see text] decays are in good agreement with the Standard Model when permitting subleading power corrections of about [Formula: see text] at large hadronic recoil. Constraining new-physics effects in [Formula: see text] , [Formula: see text] , [Formula: see text] , the data still demand the same size of power corrections as in the Standard Model. In the presence of chirality-flipped operators, all but one of the power corrections reduce substantially. The Bayes factors are in favor of the Standard Model. Using new lattice inputs for [Formula: see text] form factors and under our minimal prior assumption for the power corrections, the favor shifts toward models with chirality-flipped operators. We use the data to further constrain the hadronic form factors in [Formula: see text] and [Formula: see text] transitions.