Analytic QCD Coupling and the Renormalization Group Evolution of the Structure Function Moments

Abstract

We discuss application of analytic approach called the analytic perturbation theory to the renormalization group equation for evolution of the moments of structure functions. We focus on application of the analytic running coupling to Q 2 evolution of the moments of the structure functions. We apply the results to describe experimental data on the F3 structure function. We have found that the shape of the F3 structure function obtained in our analysis is compatible with the PT result within experimental errors and differs from the result of the fractional version of the analytic approach in high x kinematics region.