Two-body charmless decays in QCD Factorisation: status and prospects

Tobias Huber, Siegen U

I review the current status and future prospects of two-body charmless nonleptonic B-decays in the framework of QCD factorisation. After an overview of the various theory approaches to nonleptonic B-decays I will focus on the NNLO corrections to the leading penguin amplitudes, which represents the last missing ingredient to establish QCD factorisation at the NNLO level to leading power in Lambda/mb. Based on the current-current operator contribution, I will present numbers for amplitudes, amplitude ratios,direct CP asymmetries and branching ratios. Finally, I will elaborate on ideas how to improve the theory preductions in the future.