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We perform a model-independent fit of the short-distance couplings$C_{7,9,10}$ within the Standard Model set of $b\to s\gamma$ and $b\tos\bar\ell\ell$ operators. Our analysis of $B \to K^* \gamma$, $B \to K^{(*)}\bar\ell\ell$ and $B_s \to \bar\mu\mu$ decays is the first to harness the fullpower of the Bayesian approach: all major sources of theory uncertaintyexplicitly enter as nuisance parameters. Exploiting the latest measurements,the fit reveals a flipped-sign solution in addition to a Standard-Model-likesolution for the couplings $C_i$. Each solution contains about half of theposterior probability, and both have nearly equal goodness of fit. The StandardModel prediction is close to the best-fit point. No New Physics contributionsare necessary to describe the current data. Benefitting from the improvedposterior knowledge of the nuisance parameters, we predict ranges for currentlyunmeasured, optimized observables in the angular distributions of $B\to K^*(\toK\pi)\,\bar\ell\ell$.

Bayesian Fit of Exclusive $b \to s \bar\ell\ell$ Decays: The Standard Model Operator Basis