Abstract
We present the full next-to-next-to-leading order (NNLO) coefficient functions for the polarized cross section dΔ σ/ dQ for the Drell–Yan process p+ p→ l + l −+′ X′. Here ′ X′ denotes any inclusive hadronic state and Q represents the invariant mass of the lepton pair. All QCD partonic subprocesses have been included provided the lepton pair is created by a virtual photon, which is a valid approximation for Q<50 GeV. Unlike the differential distribution w.r.t. transverse momentum the dominant subprocess for the integrated cross section is given by q+ q ̄ →γ ∗+′X′ and its higher order corrections so that massive lepton pair production provides us with an excellent tool to measure the polarized anti-quark densities. Our calculations are carried out using the method of n-dimensional regularization by making a special choice for the γ 5 matrix. We give predictions for double longitudinal spin asymmetry measurements at the RHIC.
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