Parton densities and structure functions at next-to-next-to-leading order and beyond

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dc.creatorvan Neerven, W. L.
dc.creatorVogt, A.
dc.date2001-07-17
dc.date.accessioned2026-07-07T11:47:28Z
dc.date.available2026-07-07T11:47:28Z
dc.descriptionWe summarize recent results on the evolution of unpolarized parton densities and deep-inelastic structure functions in massless perturbative QCD. Due to last year's extension of the integer-moment calculations of the three-loop splitting functions, the NNLO evolution of the parton distributions can now be performed reliably at momentum fractions x >= 10^-4, facilitating a considerably improved theoretical accuracy of their extraction from data on deep-inelastic scattering. The NNLO corrections are not dominated, at relevant values of x, by their leading small-x terms. At large x the splitting-function series converges very rapidly, hence, employing results on the three-loop coefficient functions, the structure functions can be analysed at N^3LO for x > 10^-2. The resulting values for alpha_s do not significantly change beyond NNLO, their renormalization scale dependence reaches about +-1% at N^3LO.
dc.description10 pages, LaTeX, 6 figures. Talk presented at the workshops `New Trends in HERA Physics 2001', Ringberg Castle (Germany), June 2001 and `DIS 2001', Bologna (Italy), April 2001. To appear, slightly shortened in the latter case, in the proceedings
dc.identifierhttps://arxiv.org/abs/hep-ph/0107194
dc.identifierhttp://arxiv.org/abs/hep-ph/0107194
dc.identifierJ.Phys.G28:727-736,2002
dc.identifierdoi:10.1088/0954-3899/28/5/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202583
dc.subjectHigh Energy Physics - Phenomenology
dc.titleParton densities and structure functions at next-to-next-to-leading order and beyond
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