  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.
