Master integrals for massless three-loop form factors

TL;DR

This paper provides a comprehensive summary of master integrals for three-loop massless quark and gluon form factors in QCD, including pole extraction and computational techniques like Mellin-Barnes and transcendental function expansion.

Contribution

It presents new results for master integrals at three loops in massless QCD, with detailed pole structure and high-precision coefficients, advancing computational methods in quantum field theory.

Findings

Poles up to 1/epsilon^6 extracted

Master integrals summarized for three-loop form factors

High-precision coefficients provided analytically and numerically

Abstract

We summarize the results for the master integrals of the three-loop quark and gluon form factor in massless QCD. Working in dimensional regularization we extract poles up to 1/epsilon^6. The computational techniques involve, among others, the expansion of higher transcendental functions and the Mellin-Barnes method. The coefficients of the Laurent expansion in epsilon are given either analytically or numerically to high precision.