One-loop corrections to the Drell-Yan process in SANC (I). The charged current case

TL;DR

This work delivers a complete computation of one-loop electroweak radiative corrections to the charged current Drell–Yan process within the automated SANC framework, detailing both partonic and hadronic levels. It decomposes corrections into virtual, soft, and hard photon emissions, implements quark-mass singularity subtraction via MS-bar or PDF modifications, and studies factorization-scale effects and EW-scheme dependence. Numerical results demonstrate agreement with prior analyses, quantify scheme and subtraction impacts, and validate a Monte Carlo implementation against analytical benchmarks. The paper provides ready-to-use SANC codes for Drell–Yan phenom­enology and lays groundwork for further hadronic-level comparisons and applications in precision collider phenomenology.

Abstract

Radiative corrections to the charged current Drell-Yan processes are revisited. Complete one-loop electroweak corrections are calculated within the automatic SANC system. Electroweak scheme dependence and the choice of the factorization scale are discussed. Comparisons with earlier calculations are presented.