The alpha cubed sub S corrections to the Bjorken sum rule for polarized electroproduction and to the GrossLlewellyn Smith sum rule
Abstract
The nextnexttoleading order quantum chromodynamics (QCD) corrections to the GrossLlewellyn Smith sum rule for deep inelastic neutrinonucleon scattering was computed. This involved the proper treatment of gamma 5 inside the loop integrals within dimensional regularization. It was found that the difference between the two sum rules are entirely due to a class of six three loop graphs and is of the order of one percent of the leading QCD term. Hence, the Q squared behavior of both sum rules should be nearly the same if the physics is described adequately by the lower order terms of the perturbative QCD.
 Publication:

Unknown
 Pub Date:
 1990
 Bibcode:
 1990acss.rept.....L
 Keywords:

 Inelastic Scattering;
 Neutrinos;
 Nucleons;
 Particle Interactions;
 Particle Production;
 Perturbation Theory;
 Quantum Chromodynamics;
 Sum Rules;
 Mathematical Models;
 Prediction Analysis Techniques;
 Atomic and Molecular Physics