EW one-loop corrections to the longitudinally polarized Drell-Yan process. Charged-current case II

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 {\tt 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.