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Abstract: We report on recent theoretical progress in radiative B decays. We focus on acalculation of logarithmically enhanced QED corrections to the branching ratioand forward-backward asymmetry in the inclusive rare decay anti-B -> Xs l+l-, and present the results of a detailed phenomenological analysis. We alsoreport on the calculation of NNLO QCD corrections to the inclusive decay anti-B-> Xs gamma. As far as exclusive modes are concerned we considertransversity amplitudes and the impact of right-handed currents in theexclusive anti-B -> K^* l+ l- decay. Finally, we state results for exclusive B-> V gamma decays, notably the time-dependent CP-asymmetry in the exclusive B-> K^* gamma decay and its potential to serve as a so-called ``null test- ofthe Standard Model, and the extraction of CKM and unitarity triangle parametersfrom B -> rho,omega gamma and B -> K^* gamma decays.

Autor: T. Huber


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