Renormalization of the Next-to-Leading-Power Soft Function for the Drell-Yan Off-diagonal Channel

TL;DR

This paper develops a renormalization approach for the soft function in the Drell-Yan process's qg channel at next-to-leading power, enabling improved theoretical predictions near the threshold.

Contribution

It introduces the renormalization of the soft function at next-to-leading power for the Drell-Yan qg channel and solves its renormalization-group equation.

Findings

Renormalized the soft function at NLP for Drell-Yan qg channel.

Derived the renormalization-group evolution of the soft function.

Facilitates more precise threshold resummation in Drell-Yan processes.

Abstract

We renormalize the soft function entering the factorization and resummation of the $qg$ parton-scattering channel of the Drell-Yan process near the kinematic threshold $\hat{s}\to Q^2$ at next-to-leading power in the expansion around $z \equiv Q^2 / \hat{s} = 1$, and solve its renormalization-group equation.