Towards the NNLO evolution of polarised parton distributions

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dc.creatorVogt, A.
dc.creatorMoch, S.
dc.creatorRogal, M.
dc.creatorVermaseren, J. A. M.
dc.date2008-07-08
dc.date.accessioned2026-07-07T11:52:23Z
dc.date.available2026-07-07T11:52:23Z
dc.descriptionWe 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.
dc.description7 pages, LaTeX, 4 ps/eps-figures. Contribution to the proceedings of the workshops `Loops and Legs in Quantum Field Theory', April 2008, Sondershausen (Germany) and (shortened) DIS 2008, London, April 2008
dc.identifierhttps://arxiv.org/abs/0807.1238
dc.identifierhttp://arxiv.org/abs/0807.1238
dc.identifierNucl.Phys.Proc.Suppl.183:155-161,2008
dc.identifierdoi:10.1016/j.nuclphysbps.2008.09.097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204213
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTowards the NNLO evolution of polarised parton distributions
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