N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop

TL;DR

This paper demonstrates how one-loop amplitudes in N >= 4 supergravity can be derived from gauge theory amplitudes using the color-kinematics duality and double-copy structure, confirming these properties at loop level.

Contribution

It provides practical relations linking supergravity and gauge theory amplitudes at one loop, confirming the duality and double-copy structure in these theories.

Findings

Confirmed duality and double-copy structure at one loop for supergravity and gauge theories.

Derived explicit relations between supergravity and Yang-Mills amplitudes.

Validated the applicability of the color-kinematics duality at loop level.

Abstract

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using the recently uncovered duality between color and kinematics that leads to a double-copy structure for gravity. These examples provide additional direct confirmations of the duality and double-copy properties at loop level for a sample of different theories.