Linear relations between N >= 4 supergravity and subleading-color SYM amplitudes

TL;DR

This paper establishes linear relations between supergravity and subleading-color SYM amplitudes, revealing connections in IR divergence structures and extending previous results across various supersymmetry levels.

Contribution

It derives new linear relations between supergravity and subleading-color SYM amplitudes for multiple supersymmetry cases, expanding the understanding of their IR divergence correspondence.

Findings

Linear relations between supergravity and subleading-color SYM amplitudes are established.

The relations extend previous results for N=8 supergravity to N=4, 5, 6 cases.

The work utilizes the double-copy property and color-kinematic duality in gauge theories.

Abstract

The IR divergences of supergravity amplitudes are less severe than those of planar SYM amplitudes, and are comparable to those subleading-color SYM amplitudes that are most subleading in the 1/N expansion, namely O(1/epsilon^L) for L-loop amplitudes. We derive linear relations between one- and two-loop four-point amplitudes and one-loop five-point amplitudes of N = 4, 5, and 6 supergravity and the most-subleading-color contributions of the analogous amplitudes of N = 0, 1, and 2 SYM theory, extending earlier results for N = 8 supergravity amplitudes. Our work relies on linear relations between N >= 4 supergravity and planar SYM amplitudes that were recently derived using the double-copy property of gravity, and color-kinematic duality of gauge theories.