Improved approximations for the three-loop splitting functions in QCD

2000/07/31 by W. L. van Neerven, W.L. van Neerven, A. Vogt · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)00953-9

published as Phys.Lett.B490:111-118,2000 · 11 pages, LaTeX, 4 eps-figures

arxiv created 2000/07/31 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We update our approximate parametrizations of the three-loop splitting functions for the evolution of unpolarized parton densities in perturbative QCD. The new information taken into account is given by the additional Mellin moments recently calculated by Retey and Vermaseren. The inclusion of these constraints reduces the uncertainties of our approximations considerably and extends their region of applicability by about one order of magnitude to lower momentum fractions x .

Citations

• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• NNLO evolution of deep-inelastic structure functions: the non-singlet case

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