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 F-3. Similarly we present the moments N = 10, 12 for the flavour singlet and N = 12, 14 for the non-singlet structure functions F-2 and F-L. 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. (C) 2001 Published by Elsevier Science B.V.