Comprehensive Bayesian Analysis of Rare (Semi)leptonic and Radiative B Decays

Abstract

The available data on $|\Delta B|=|\Delta S|=1$ decays are in good agreement with the Standard Model when permitting subleading power corrections of about 15% at large hadronic recoil. Constraining new-physics effects in ${\mathcal{C}}_7$, ${\mathcal{C}}_9$, ${\mathcal{C}}_{10}$, 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 $B\to K^{\ast }$ form factors, the evidence of models with chirality-flipped operators increases, but does not outperform the Standard Model. We use the data to further constrain the hadronic form factors in $B\to K$ and $B\to K^{\ast }$ transitions.

Comments: 18 pages, 4 figures. v3: 1) Corrected errors in the numerical implementation of B->K ll at low q^2 with chirality-flipped operators, 2) added missing systematic uncertainties in B->K^(*) form factors from the lattice, 3) removed erroneously used high q^2 observables from data set "selection". Updated tables and figures, and a slightly revised conclusion. The main conclusions are unaffected