# Higher-order and mixed QCD-QED corrections for Drell-Yan

## TL;DR

This paper advances the theoretical understanding of the Drell-Yan process by incorporating higher-order QCD and mixed QCD-QED corrections using a $q_T$-resummation framework, enhancing precision in vector boson production predictions.

## Contribution

It introduces a novel framework combining soft gluon and photon radiation effects for more accurate Drell-Yan process calculations.

## Key findings

- Development of a $q_T$-resummation based method for mixed QCD-QED corrections.
- Enhanced theoretical predictions for vector boson production.
- Discussion of future extensions and phenomenological implications.

## Abstract

In this article, we discuss about the Drell-Yan process focusing on the computation of radiative corrections for vector boson production. First, we describe the $q_T$-resummation formalism and its application to obtain higher-order QCD corrections. We briefly summarize the state-of-the-art in these calculations, and motivate the need of more refined theoretical predictions. After that, we center into the inclusion of mixed QCD-QED higher-order contributions, both for fixed order and resummed calculations. In particular, we present a framework based on the $q_T$-resummation formalism to simultaneously handle soft gluon and photon radiation. Finally, we discuss future extensions of this approach and its phenomenological relevance.