Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-07-08
Nucl.Phys.Proc.Suppl.183:155-161,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, LaTeX, 4 ps/eps-figures. Contribution to the proceedings of the workshops `Loops and Legs in Quantum Field Theory', A
Scientific paper
10.1016/j.nuclphysbps.2008.09.09
We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding unpolarised cases of F_2,L, but additionally involves higher tensor integrals and the Dirac matrix gamma_5 in D unequal 4 dimensions. Our results confirm all known two-loop expressions including the coefficient functions of Zijlstra and van Neerven not independently verified before. At three loops we extract the helicity-difference next-to-next-to-leading order (NNLO) quark-quark and gluon-quark splitting functions Delta P_qq and Delta P_qg. The results exhibit interesting features concerning sum rules and the momentum-fraction limits x to 1 and x to 0.
Moch Sven
Rogal Mikhail
Vermaseren J. A. M.
Vogt Adam
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