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

A. Retey·J. A. M. Vermaseren
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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 $N$=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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A. Retey, J. A. M. Vermaseren. 2001-03-13. Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD. https://doi.org/10.1016/s0550-3213(01)00149-3

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