Monodromy--like Relations for Finite Loop Amplitudes

TL;DR

This paper explores new relations for finite one-loop amplitudes in Yang-Mills theory, revealing connections between tree and loop levels through a diagrammatic approach.

Contribution

It introduces a novel diagrammatic formalism and uncovers amplitude relations applicable to any number of external legs in finite one-loop Yang-Mills amplitudes.

Findings

Derived sequences of amplitude relations for any number of external legs.

Established a connection between tree-level and loop-level amplitudes.

Provided a diagrammatic framework for analyzing finite loop amplitudes.

Abstract

We investigate the existence of relations for finite one-loop amplitudes in Yang-Mills theory. Using a diagrammatic formalism and a remarkable connection between tree and loop level, we deduce sequences of amplitude relations for any number of external legs.