# Three loop QCD corrections to heavy quark form factors

## TL;DR

This paper introduces an algorithm for solving coupled differential equations in perturbative QCD, enabling the calculation of three-loop heavy quark form factors with improved efficiency and precision.

## Contribution

The paper presents a novel algorithm for solving coupled linear differential systems in quantum field theory, applied here to compute three-loop heavy quark form factors.

## Key findings

- Successfully computed master integrals for three-loop form factors
- Extended the method to include light quark contributions
- Enhanced the accuracy of perturbative QCD calculations

## Abstract

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated integrals over an alphabet the structure of which is implied by the coefficient matrix of the given system. We apply this method to calculate the master integrals in the color-planar and complete light quark contributions to the three-loop massive form factors.