The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory

TL;DR

This paper provides a dual conformal invariant integral representation for the two-loop six-point NMHV amplitude in maximally supersymmetric Yang-Mills theory, confirming conjectures and exploring all-loop structures.

Contribution

It introduces a new integral representation with simple transformation properties and confirms dual conformal invariance at two loops in the six-point NMHV amplitude.

Findings

Amplitude is invariant under dual conformal transformations after subtraction of infrared divergences.

The integral representation simplifies the understanding of the amplitude's symmetry properties.

Discussion of the all-loop structure offers insights into the amplitude's fundamental organization.

Abstract

We present an integral representation for the parity-even part of the two-loop six-point planar NMHV amplitude in terms of Feynman integrals which have simple transformation properties under the dual conformal symmetry. We probe the dual conformal properties of the amplitude numerically, subtracting the known infrared divergences. We find that the subtracted amplitude is invariant under dual conformal transformations, confirming existing conjectures through two-loop order. We also discuss the all-loop structure of the six-point NMHV amplitude and give a parametrization whose dual conformal invariant building blocks have a simple physical interpretation.