Identities amongst the Two Loop Partial Amplitudes of Yang-Mills theory

TL;DR

This paper investigates potential identities among two-loop gluon scattering amplitudes in Yang-Mills theory, aiming to discover new relations that could simplify calculations in quantum field theory.

Contribution

It characterizes possible identities among two-loop partial amplitudes and identifies candidate relations that may hold for all particle numbers.

Findings

Two candidate relations potentially extend to all-$n$ amplitudes

Exhaustive search using known amplitudes

Identification of possible new amplitude identities

Abstract

We characterise possible identities among the two-loop partial amplitudes of gluon scattering in Yang-Mills theory. We use known amplitudes in an exhaustive search to identify potential new relations. We find two candidate relations which may extend to all-$n$ amplitudes.