Abstract
We report recent progress in SM calculations of b {yields} s transitions. We discuss the first NNLL prediction of the {bar B} {yields} X{sub 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} {yields} X{sub s}{ell}{sup +}{ell}{sup -}. Moreover, new results on the corresponding exclusive modes are reviewed. Finally, we comment on the present status of the so-called B {yields} K{pi} puzzle in hadronic b {yields} s transitions.
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