Twist2 LightRay Operators: Anomalous Dimensions and Evolution Equations
Abstract
The nonsinglet and singlet anomalous dimensions of the twist2 lightray operators for unpolarized and polarized deep inelastic scattering are calculated in $O(\alpha_s)$. 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 lightray operators. Special cases are the AltarelliParisi and BrodskyLepage kernels. Finally we extend Radyushkin's solution from the nonsinglet to the singlet case.
 Publication:

arXiv eprints
 Pub Date:
 November 1997
 DOI:
 10.48550/arXiv.hepph/9711405
 arXiv:
 arXiv:hepph/9711405
 Bibcode:
 1997hep.ph...11405B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 14 pages latex, Contribution to the Proceedings of the Int. Workshop Deep Inelastic Scattering off Polarized Targets : Theory Meets Experiment, September 15, 1997, DESYZeuthen, Germany