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

TL;DR

This paper calculates key two-loop integrals for penguin amplitudes in non-leptonic B-decays using differential equations, providing analytic results for the first time with two different internal masses.

Contribution

It introduces a novel application of differential equations in a canonical basis to compute master integrals with two different internal masses in B-decay calculations.

Findings

Analytic expressions for all master integrals obtained.

First application of differential equations method with two different internal masses.

Enhances precision in theoretical predictions of B-decay processes.

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.