QCD corrections to the longitudinally polarized Drell-Yan process

In this paper we calculate the O( α_s) corrections to the χ_F and y distributions of lepton pairs produced in collisions of longitudinally polarized hadrons. The numerical importance of these corrections is studied and consequences for the extraction of the polarized sea-quark distributions from a measurement of the longitudinally polarized Drell-Yan cross section are discussed.