The ${\cal N}=4$ Supergravity NMHV six-point one-loop amplitude

TL;DR

This paper constructs the six-point NMHV one-loop amplitude in ${ m N}=4$ supergravity using unitarity and recursion, introducing rational descendants and non-standard factorisation terms to complete the calculation.

Contribution

It presents a novel computation of the six-point NMHV one-loop amplitude in ${ m N}=4$ supergravity, combining unitarity methods with recursion techniques.

Findings

Successfully constructed the amplitude using new recursive methods.

Identified and computed rational descendants of cut-constructible parts.

Addressed non-standard factorisation terms from loop integrals.

Abstract

We construct the six-point NMHV one-loop amplitude in ${\cal N}=4$ supergravity using unitarity and recursion. The use of recursion requires the introduction of rational descendants of the cut-constructible pieces of the amplitude and the computation of the non-standard factorisation terms arising from the loop integrals.