On Multiple Gluon Exchange Webs

TL;DR

This paper explores the structure of infrared singularities in quantum field theory using webs, revealing that a specific subclass called Multiple Gluon Exchange Webs can be expressed as sums of products of functions depending on a single cusp angle, with a conjecture of all-order validity.

Contribution

It introduces the structure of Multiple Gluon Exchange Webs and conjectures their representation as products of single-angle functions to all orders.

Findings

Multiple Gluon Exchange Webs can be expressed as sums of products of single-cusp-angle functions.

A simple basis of functions spans the web structures.

Conjecture that this structure holds to all orders.

Abstract

I present an overview of the study of infrared singularities through the eikonal approximation and the concept of webs. Our work reveals the interesting structure of an infinite subclass of webs, Multiple Gluon Exchange Webs. We find that they can be expressed as sums of products of functions depending upon only a single cusp angle, spanned by a simple basis of functions, and conjecture that this structure will hold to all orders.