The 3-loop QCD calculation of the moments of deep inelastic structure functions

1996/05/15 by S. A. Larin, S.A. Larin, P. Nogueira +3 · 21 citations
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/s0550-3213(97)80038-7

published as Nucl.Phys.B492:338-378,1997 · 46 pages, the complete Postscript file of this preprint (including 9 figures) is available at ftp://nikhefh.nikhef.nl/pub/preprints/96-010.ps.Z

arxiv created 1996/05/15 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the analytic next-to-next-to-leading perturbative QCD corrections in the leading twist approximation for the moments N=2,4,6,8 of the flavour singlet deep inelastic structure functions F₂ and F_L. We calculate the three-loop anomalous dimensions of the corresponding singlet operators and the three-loop coefficient functions of the structure functions F_L and F₂. In addition, we obtained the 10th moment for the non-singlet structure functions in the same order of perturbative QCD. We perform an analysis of the obtained results.

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