Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour

TL;DR

This paper derives compact formulas for six-point NMHV one-loop amplitudes in N=8 supergravity, demonstrating their IR behavior and suggesting a scalar box integral structure similar to N=4 super-Yang-Mills theory.

Contribution

It provides explicit formulas for box coefficients in N=8 supergravity amplitudes and shows their IR singularities match expectations, supporting a scalar box integral representation.

Findings

Box coefficients explicitly derived for six-point NMHV amplitudes.

IR singularities of the amplitudes match theoretical predictions.

Box-coefficients correspond to tree amplitude terms from recursion.

Abstract

We present compact formulas for the box coefficients of the six-point NMHV one-loop amplitudes in N=8 supergravity. We explicitly demonstrate that the corresponding box integral functions, with these coefficients, have the complete IR singularities expected of the one-loop amplitude. This is strong evidence for the conjecture that N=8 one-loop amplitudes may be expressed in terms of scalar box integral functions. This structure, although unexpected from a power counting viewpoint, is analogous to the structure of N=4 super-Yang-Mills amplitudes. The box-coefficients match the tree amplitude terms arising from recursion relations.