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arXiv · hep-ph/9605317

The 3-loop QCD calculation of the moments of deep inelastic structure functions

S. A. Larin·P. Nogueira·T. van Ritbergen·J. A. M. Vermaseren
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Abstract

We present the analytic next-to-next-to-leading perturbative QCD corrections in the leading twist approximation for the moments N=2,4,6,8 of the flavour singlet deep inelastic structure functions F_2 and F_L. We calculate the three-loop anomalous dimensions of the corresponding singlet operators and the three-loop coefficient functions of the structure functions F_L and F_2. In addition, we obtained the 10th moment for the non-singlet structure functions in the same order of perturbative QCD. We perform an analysis of the obtained results.

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S. A. Larin, P. Nogueira, T. van Ritbergen, J. A. M. Vermaseren. 1996-05-15. The 3-loop QCD calculation of the moments of deep inelastic structure functions. https://doi.org/10.1016/s0550-3213(97)80038-7

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