QCD Prediction of A_(TT) for Small Q_T Dimuon Production in pp and pbar{p} Collisions

We present QCD prediction of double-spin asymmetries ($A_{TT}$) in transversely polarized Drell-Yan process at small transverse momentum $Q_T$ of dimuon. Resummation of large logarithmic corrections, relevant in small $Q_T$ region, is performed up to next-to-leading logarithmic (NLL) accuracy. $A_{TT}$ at RHIC, J-PARC and GSI are studied numerically in the corresponding kinematic regions.We show that the large $A_{TT}$ is obtained for small $Q_T$ and moderate energies.