Twist-2 Light-Ray Operators: Anomalous Dimensions and Evolution Equations
High Energy Physics - Phenomenology
2007-05-23 v2
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 . 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.
Keywords
Cite
@article{arxiv.hep-ph/9711405,
title = {Twist-2 Light-Ray Operators: Anomalous Dimensions and Evolution Equations},
author = {J. Blümlein and B. Geyer and D. Robaschik},
journal= {arXiv preprint arXiv:hep-ph/9711405},
year = {2007}
}
Comments
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