EW One-Loop Corrections to the Longitudinally Polarized Drell–Yan Process. (II) Charged-Current Case

Abstract

Complete one-loop electroweak radiative corrections to the charged-current Drell–Yan processes \(pp \to {{\ell }^{ + }}{{\nu }_{\ell }}( + X)\) and \(pp \to {{\ell }^{ - }}{{\bar {\nu }}_{\ell }}( + X)\) are presented for the case of longitudinal polarization of initial particles. The results can be used to obtain precise predictions for the kinematic distributions of polarized \({{W}^{ \pm }}\) production cross sections, and single- and double-spin asymmetries. Numerical results are obtained using the Monte-Carlo generator ReneSANCe. This research contributes to a global next-to-leading order analysis of polarized parton distributions in proton-proton collisions at RHIC. We proved that the impact of the one-loop electroweak radiative corrections to single- and double-spin asymmetries is negligible.