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

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 N=1,3,5,7,9,11,13 of the structure function F3. Similarly we present the moments N=10,12 for the flavour singlet and N=12,14 for the non-singlet structure functions F2 and FL. 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