Differential equations for Feynman integrals beyond multiple polylogarithms

TL;DR

This paper discusses recent advances in using differential equations to evaluate Feynman integrals that cannot be expressed with multiple polylogarithms, expanding the scope of analytical techniques in quantum field theory.

Contribution

It introduces methods for solving Feynman integrals beyond multiple polylogarithms using differential equations, addressing a significant limitation in current analytical approaches.

Findings

Extended differential equation techniques for non-polylogarithmic integrals

New solutions for complex Feynman integrals

Broadened applicability of differential equations in quantum calculations

Abstract

Differential equations are a powerful tool to tackle Feynman integrals. In this talk we discuss recent progress, where the method of differential equations has been applied to Feynman integrals which are not expressible in terms of multiple polylogarithms.