Closed form analytic solutions for dilogarithmic double integrals

TL;DR

This paper introduces techniques for analytically solving dilogarithmic double integrals, crucial in quantum field theory, by isolating singular parts to handle divergences effectively.

Contribution

It provides a method to compute divergent dilogarithmic integrals analytically, similar to convergent ones, by isolating singularities.

Findings

Analytic solutions for dilogarithmic double integrals are derived.

Divergent integrals can be computed by isolating singular parts.

Method simplifies calculations in quantum field theory.

Abstract

This note presents techniques to analytically solve double integrals of the dilogarithmic type which are of great importance in the perturbative treatment of quantum field theory. In our approach divergent integrals can be calculated similar to their convergent counterparts after identifying and isolating their singular parts.