Global Poles of the Two-Loop Six-Point N=4 SYM integrand

TL;DR

This paper compares two methods for calculating the two-loop six-point MHV integrand in N=4 SYM theory, confirming their agreement through extensive numerical checks, thus validating the recursion relation's predictions.

Contribution

It provides a numerical validation of the recursion relation's predictions for the two-loop six-point MHV integrand in N=4 SYM theory by comparing with the leading singularity method.

Findings

High numerical agreement between the recursion relation and leading singularity method.

Validation of the recursion relation for two-loop six-point MHV integrand.

Supports the correctness of the proposed recursion in N=4 SYM.

Abstract

Recently, a recursion relation has been developed, generating the four-dimensional integrand of the amplitudes of N=4 supersymmetric Yang-Mills theory for any number of loops and legs. In this paper, I provide a comparison of the prediction for the two-loop six-point maximally helicity-violating (MHV) integrand against the result obtained by use of the leading singularity method. The comparison is performed numerically for a large number of randomly selected momenta and in all cases finds agreement between the two results to high numerical accuracy.