  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 polarized single- and double-spin asymmetries. Numerical
results are obtained using the Monte-Carlo generator ReneSANCe. This study is a
contribution to the research program of the STAR and PHENIX collaborations in
experiments of RHIC.
