Status of SM calculations of b > s transitions

Abstract

We report recent progress in SM calculations of $b\to s$ transitions. We discuss the first NNLL prediction of the $\bar{B}\to X_s\gamma$ branching ratio, including important additional subtleties due to non-perturbative corrections and logarithmically-enhanced cut effects, and also recent results on the inclusive mode $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$. Moreover, new results on the corresponding exclusive modes are reviewed. Finally, we comment on the present status of the so-called $B\to K\pi$ puzzle in hadronic $b\to s$ transitions

Comments: 10 pages, 6 figures, minor changes, published version