Using Dimensional Reduction for Hadronic Collisions

TL;DR

This paper explores the application of dimensional reduction regularization in calculating hadronic collision cross sections at next-to-leading order, addressing infrared singularities and scheme translation.

Contribution

It provides a detailed analysis of dimensional reduction's infrared structure, compatibility with factorization, and transition rules between regularization schemes.

Findings

No issues with factorization in dimensional reduction

Compatibility demonstrated with standard parton distribution functions

Transition rules for scheme conversion provided

Abstract

We discuss how to apply regularization by dimensional reduction for computing hadronic cross sections at next-to-leading order. We analyze the infrared singularity structure, demonstrate that there are no problems with factorization, and show how to use dimensional reduction in conjunction with standard parton distribution functions. We clarify that different versions of dimensional reduction with different infrared and factorization behaviour have been used in the literature. Finally, we give transition rules for translating the various parts of next-to-leading order cross sections from dimensional reduction to other regularization schemes.