QCD Prediction of $A_{TT}$ for Small $Q_T$ Dimuon Production in $pp$ and $p\bar{p} Collisions

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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.
4 pages, 2 figures. Talk presented at SPIN2006, October 2-7, 206, Kyoto, Japan

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