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We consider two different spin asymmetries in Drell-Yan processes generatedby the collisions of an unpolarized proton beam on transversely polarizedprotons: the muon helicity asymmetry and the left-right asymmetry. We calculatethe asymmetries in the framework of the QCD improved parton model, taking intoaccount the parton transverse momentum and considering the first order QCDcorrections. The muon helicity asymmetry is sensitive to the quark transversitydistribution and is nonvanishing even at zero order. On the contrary theleft-right asymmetry vanishes at zero order but not at first order in the QCDcoupling constant, as a result of gluon contribution

Transverse spin asymmetries in Drell–Yan processes: $p^{\uparrow} p \rightarrow \mu^+ \mu^- X$