Non-leptonic B-decays at two-loops in QCD

Abstract

I review the status of the calculation of two-loop QCD corrections to non-leptonic B-decays in the framework of QCD factorisation. In the case of heavy-to-light decays I will cover the leading penguin amplitudes a_4^u and a_4^c. For heavy-to-heavy transitions I will discuss the amplitude a_1(D^(*) pi). In both cases I will present some computational details, especially on how to obtain analytical results for the master integrals in a canonical basis, which in turn enables us to derive analytical expressions for almost all terms in the amplitudes.