Soft sub-leading divergences in Yang-Mills amplitudes

TL;DR

This paper reveals that in Yang-Mills theory, the soft limit of tree-level amplitudes exhibits a sub-leading divergence similar to that found in gravity, indicating a deeper connection between gauge and gravity theories.

Contribution

It identifies a sub-leading divergent term in Yang-Mills amplitudes' soft limit, paralleling recent gravity amplitude results, thus extending the understanding of soft divergences.

Findings

Sub-leading divergence exists in Yang-Mills soft limits.

Analogy with gravity soft theorems established.

Potential implications for gauge-gravity correspondence.

Abstract

In this short note I show that the soft limit for colour-ordered tree-level Yang-Mills amplitudes contains a sub-leading divergent term analogous to terms found recently by Cachazo and Strominger for tree-level gravity amplitudes.