Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD

A. Retey; J. A. M. Vermaseren

Paper

Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD

Abstract

We present the analytic next-to-next-to-leading QCD calculation of some higher moments of deep inelastic structure functions in the leading twist approximation. We give results for the moments

=1,3,5,7,9,11,13 of the structure function

. Similarly we present the moments

=10,12 for the flavour singlet and

=12,14 for the non-singlet structure functions

and

. We have calculated both the three-loop anomalous dimensions of the corresponding operators and the three-loop coefficient functions of the moments of these structure functions.