Report/Journal Article PUBDB-2017-06625

The Three loop splitting functions in QCD: The Nonsinglet case

(Corresponding author)Extern* ; ;

North-Holland Publ. Co. Amsterdam

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Report No.: hep-ph/0403192; DESY-04-047; SFB-CPP-04-09; NIKHEF-04-001;

Abstract: We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial results available in the literature. We find that the correct leading logarithmic (LL) predictions for small momentum fractions  x do not provide a good estimate of the respective complete results. A new, unpredicted LL contribution is found for the colour factor d abc d abc entering at three loops for the first time. We investigate the size of the corrections and the stability of the NNLO evolution under variation of the renormalization scale. Except for very small  x the corrections are found to be rather small even for large values of the strong coupling constant, in principle facilitating a perturbative evolution into the sub-GeV regime.

Keyword(s): quantum chromodynamics ; perturbation theory: higher-order ; p: structure function ; electron p: deep inelastic scattering ; photon p: Compton scattering ; quark: momentum spectrum ; antiquark: momentum spectrum ; leading logarithm approximation ; Mellin transformation ; numerical calculations ; splitting function


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Contributing Institute(s):
  1. DESY Retrocat (DESY(-2012))
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)
  1. No specific instrument

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Medline ; Creative Commons Attribution CC BY (No Version) ; DOAJ ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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 Record created 2017-07-03, last modified 2017-07-10

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