Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals

TL;DR

This paper provides numerical evaluations of all master integrals for four-loop massless propagators, confirming recent analytic results and extending the epsilon expansion to higher order.

Contribution

It offers comprehensive numerical results for all master integrals at four loops, validating and extending existing analytic calculations.

Findings

Numerical results confirm recent analytic master integrals.

Extended epsilon expansion for each master integral.

Provides data essential for high-precision quantum field theory calculations.

Abstract

We present numerical results which are needed to evaluate all non-trivial master integrals for four-loop massless propagators, confirming the recent analytic results of[1]and evaluating an extra order in $\ep$ expansion for each master integral.