Speaker
Description
Within the framework of quantum electrodynamics, the interaction of particles can be described using invariant perturbation theory. Higher orders of perturbation theory are expressed in terms of loop integrals. The modern approach to calculating loop integrals is to use the Integration-By-Parts method. This method allows you to express loop integrals through the so-called master integrals. One of the methods for calculating master integrals integrals is to construct systems of differential or difference equations. The method of differential equations is used for integrals with several scale parameters, the method of dimensional recurrence relations for single-scale integrals. In this work we show how to combine these two methods and calculate two-loop massive QED master integrals for the process $e^{+}e^{-}\rightarrow2\gamma$. Expressions for master integrals is obtained in the high-energy approximation.
