Abstract
We carefully study dimuon production by transversely polarized protons. It is shown that this process should provide a good tool to uncover the parton distributions of the transversely polarized proton. In particular we calculate the $O({\ensuremath{\alpha}}_{s})$ corrections to the total Drell-Yan cross section and the rapidity differential cross section and find that the respective cross section asymmetries are rather stable.
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