Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-11-24
Nucl.Phys. B682 (2004) 421-456
Physics
High Energy Physics
High Energy Physics - Phenomenology
45 pages, 22 figures. Due to a bug in our program the mass factorization plots in fig. 8-11 are changed. All parton density se
Scientific paper
10.1016/j.nuclphysb.2004.01.001
We present the full next-to-next-to-leading order (NNLO) coefficient functions for the polarized cross section $d\Delta \sigma/dQ$ for the Drell-Yan process $p + p\to l^+l^- + 'X'$. 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 $q+\bar q \to \gamma^* + 'X'$ 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 $\gamma_5$ matrix. We give predictions for double longitudinal spin asymmetry measurements at the RHIC.
Ravindran V.
Smith Jeffrey J.
van Neerven W. L.
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