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

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

2000-07-26

arxiv.org/abs/hep-ph/0007294v2

Nucl.Phys. B604 (2001) 281-311

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages LaTeX2e, Added N=14 non-singlet moment

Scientific paper

10.1016/S0550-3213(01)00149-3

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.

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