The dilepton QT spectrum in transversely polarized Drell-Yan process in QCD

We discuss the transverse momentum Q(T) distribution of Drell-Yan pair, produced in collisions of transversely polarized protons. We calculate the transversely polarized Drell-Yan cross section up to O(alpha(s)) in the dimensional regularization, which gives QCD prediction at large Q(T). For small Q(T), we include all-orders resummation of large logarithms due to emission of soft gluons tip to next-to-leading logarithmic accuracy. At intermediate Q(T), the resummation formula is matched with the fixed-order alpha(s) perturbative results in a systematic way, and we derive the cross section with uniform accuracy over the entire range of Q(T).