Collinearly Enhanced Realizations of the YFS MC Approach to Precision Resummation Theory

TL;DR

This paper enhances the YFS IR resummation theory by incorporating all collinear contributions that exponentiate, aligning with collinear factorization results and improving precision in hard radiation residuals.

Contribution

It extends the YFS IR resummation to include all collinear contributions, improving accuracy and consistency with established collinear factorization results.

Findings

New resummation matches known collinear results.

Improves the precision tagging of YFS residuals.

Enhances the theoretical framework for IR resummation.

Abstract

We extend the YFS IR resummation theory to include all of the attendant collinear contributions which exponentiate. This improves the original YFS formulation in which only a part of these contributions was exponentiated. We show that the new resummed contributions agree with known results from the collinear factorization approach and we argue that they improve the attendant precision tag for a given level of exactness in the respective YFS hard radiation residuals.