EW one-loop corrections to the longitudinally polarized Drell--Yan scattering. (I). The Neutral current case

TL;DR

This paper calculates complete one-loop electroweak corrections to the longitudinally polarized neutral current Drell-Yan process, providing insights into polarized quark distributions and the impact of electroweak effects on asymmetries.

Contribution

It presents the first comprehensive calculation of electroweak one-loop corrections for polarized Drell-Yan processes, including numerical analysis with the ReneSANCe generator.

Findings

Electroweak corrections significantly affect asymmetries.

Numerical results depend on vector boson rapidity and lepton pseudorapidities.

The study enhances understanding of polarized quark distributions.

Abstract

Complete one-loop electroweak corrections to neutral current Drell-Yan process $p p \to \ell^+\ell^- X$ are presented for the case of longitudinal polarization of initial particles. Cross sections for longitudinally polarized protons allow us to estimate different combinations of polarized quark distributions from single- and double-spin asymmetries. Numerical impact of electroweak next-order corrections to asymmetries as function of the vector boson rapidity and lepton pseudorapidities in the hadron-hadron centre-of-mass frame using the MC generator ReneSANCe is thoroughly studied.