Anomalous dimension of gluonic operator in polarized deep inelastic scattering at O(1/Nf)

1998/03/25 by J. F. Bennett, Jemma Bennett, J. A. Gracey · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Deep inelastic scattering #Formalism (music) #Geometry #Inelastic scattering #Mathematical analysis #Mathematical physics #Mathematics #Operator matrix #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Twist #hep-ph

paper · pdf · doi:10.1016/s0370-2693(98)00627-3

published as Phys.Lett.B432:209-214,1998 · 8 Latex pages, 1 postscript figure

arxiv created 1998/03/25 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the O(1/N_f) correction to the predominantly gluonic flavour singlet twist-2 anomalous dimension used in polarized deep inelastic scattering. It is consistent with known two loop perturbation theory and we determine the three loop contribution at O(1/N_f). The treatment of the epsilon-tensor in the large N_f d-dimensional critical point formalism is also discussed.

Citations

• Asymptotic freedom in parton language
• The spin-dependent two-loop splitting functions
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Anomalous dimensions of operators in polarized deep inelastic scattering at

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• The n→0 limit of γgg(a) in QCD