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NNLO evolution of deep-inelastic structure functions: the non-singlet case

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arxiv hep-ph/9907472 v1 pith:NZBFU3AI submitted 1999-07-23 hep-ph

W.L. van Neerven , A. Vogt (Leiden University) This is my paper · ORCID
classification hep-ph
keywords functionsnnlonon-singletevolutionresidualsplittingstructurethree-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the next-to-next-to-leading order (NNLO) evolution of flavour non-singlet quark densities and structure functions in massless perturbative QCD. Present information on the corresponding three-loop splitting functions is used to derive parametrizations of these quantities, including Bjorken-x dependent estimates of their residual uncertainties. Compact expressions are also provided for the exactly known, but rather involved two-loop coefficient functions. The size of the NNLO corrections and their effect on the stability under variations of the renormalization scale are investigated. The residual uncertainty of the three-loop splitting functions does not lead to appreciable effects for x > 10^-2. Inclusion of the NNLO contributions reduces the main theoretical uncertainty of alpha_s determinations from non-singlet scaling violations by more than a factor of two.

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Cited by 3 Pith papers

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  1. Next-to-leading order evolution of structure functions without PDFs

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The authors build a complete NLO momentum-space DGLAP evolution for a six-observable physical basis of DIS structure functions and compare its numerical results with conventional PDF-based evolution.

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    hep-ph 2019-08 accept novelty 6.0 of 10

    The authors produce the TUJU19 nuclear PDF sets at NLO and NNLO from a global fit of lepton and neutrino DIS data using a modified open-source xFitter framework.

  3. Perturbative QCD as a quantitative tool in the years 1976-2000

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