Differential equations and Feynman integrals

TL;DR

This paper reviews how differential equations are used to compute Feynman integrals, illustrating the method with an example and discussing modern techniques based on these equations.

Contribution

It introduces the application of differential equations to Feynman integrals and discusses recent advances in the method.

Findings

Demonstrates the use of differential equations in Feynman integral calculations

Analyzes properties of inverse-mass-expansion coefficients

Reviews modern differential equation techniques for Feynman integrals

Abstract

The role of differential equations in the process of calculating Feynman integrals is reviewed. An example of a diagram is given for which the method of differential equations was introduced, the properties of the inverse-mass-expansion coefficients are shown, and modern methods based on differential equations are considered.