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Twist-2 Light-Ray Operators: Anomalous Dimensions and Evolution Equations

1997/11/20 by J. Blümlein, Blümlein, J., B. Geyer +3
Materials Science · Mathematics · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Numerical methods in inverse problems #Radiation Shielding Materials Analysis #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9711405

14 pages latex, Contribution to the Proceedings of the Int. Workshop Deep Inelastic Scattering off Polarized Targets : Theory Meets Experiment, September 1--5, 1997, DESY--Zeuthen, Germany; 3 typos corrected

openalex publication_date 1997/11/20 · arxiv created 1997/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The non-singlet and singlet anomalous dimensions of the twist--2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in O(αs). We apply these results for the derivation of evolution equations for partition functions, structure functions, and wave functions which are defined as Fourier transforms of the matrix elements of the light-ray operators. Special cases are the Altarelli-Parisi and Brodsky-Lepage kernels. Finally we extend Radyushkin's solution from the non-singlet to the singlet case.

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