NNLO corrections to massive leptonpair production in longitudinally polarized protonproton collisions
Abstract
We present the full nexttonexttoleading order (NNLO) coefficient functions for the polarized cross section d∆ σ/ dQ for the DrellYan 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+ q̄→γ ^{∗}+'X' and its higher order corrections so that massive lepton pair production provides us with an excellent tool to measure the polarized antiquark densities. Our calculations are carried out using the method of ndimensional regularization by making a special choice for the γ_{5} matrix. We give predictions for double longitudinal spin asymmetry measurements at the RHIC.
 Publication:

Nuclear Physics B
 Pub Date:
 March 2004
 DOI:
 10.1016/j.nuclphysb.2004.01.001
 arXiv:
 arXiv:hepph/0311304
 Bibcode:
 2004NuPhB.682..421R
 Keywords:

 12.38.Bx;
 12.38.Qk;
 13.85.Qk;
 Perturbative calculations;
 Experimental tests;
 Inclusive production with identified leptons photons or other nonhadronic particles;
 High Energy Physics  Phenomenology
 EPrint:
 45 pages, 22 figures. Due to a bug in our program the mass factorization plots in fig. 811 are changed. All parton density sets, in particular the set BB1 (J. Blumlein, H. Bottcher), lead to an improvement in the scale dependence while going from LO to NLO and then to NNLO