Power corrections to the differential Drell-Yan cross section

TL;DR

This paper estimates the impact of power corrections, specifically infrared renormalon contributions, on the differential Drell-Yan cross-section using a dispersive method analyzing one-loop Feynman graphs with a massive gluon.

Contribution

It introduces a novel estimation of infrared renormalon effects on the Drell-Yan process using dispersive analysis of one-loop diagrams.

Findings

Quantifies the size of power corrections to the Drell-Yan cross-section.

Provides a framework for including infrared renormalon effects in theoretical predictions.

Enhances understanding of non-perturbative effects in high-energy hadron collisions.

Abstract

We estimate the power corrections (infrared renormalon contributions) to the coefficient functions for the differential Drell-Yan cross-section $d^2\sigma/dQ^2dy$, where $Q^2$ is the mass squared and $y$ the rapidity of the produced lepton pair. We employ the dispersive method based on the analysis of one-loop Feynman graphs containing a massive gluon.