Master integrals for the two-loop penguin contribution in non-leptonic B-decays

Abstract

We compute the master integrals that arise in the calculation of the leading penguin amplitudes in non-leptonic B-decays at two-loop order. The application of differential equations in a canonical basis enables us to give analytic results for all master integrals in terms of iterated integrals with rational weight functions. It is the first application of this method to the case of two different internal masses.

41 pages, 3 figures. The analytic results for all master integrals are attached in electronic form to the source file of the present submission

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• On the calculation of soft phase space integral
• Soft-collinear factorization in B decays
• Charmless Non-Leptonic Multi-Body B decays