Path Integral Methods for Soft Gluon Resummation

TL;DR

This paper introduces a novel path integral framework for soft gluon resummation that extends beyond the eikonal approximation, providing a clearer physical interpretation and classifying next-to-eikonal corrections.

Contribution

The paper develops a new path integral approach for soft gluon resummation that generalizes previous methods and enables systematic analysis of higher-order corrections.

Findings

Recovers previous eikonal approximation results

Provides a physical interpretation of the resummation process

Classifies next-to-eikonal corrections to matrix elements

Abstract

We describe a new framework for soft gluon resummation, based on path integral methods. The approach recovers previous results obtained in the eikonal approximation, in which all emitted gluons become soft. Furthermore, a clear physical interpretation allows straightforward extension of the framework to beyond the eikonal approximation, and we use this to classify the structure of next-to-eikonal corrections to matrix elements.