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

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 3-loop anomalous dimensions of the corresponding singlet operators a...

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Bibliographic Details
Published in:Nuclear physics. B 1997-05, Vol.492 (1), p.338-378
Main Authors: Larin, S.A., Nogueira, P., van Ritbergen, T., Vermaseren, J.A.M.
Format: Article
Language:English
Subjects:
Moments of structure functions
Perturbative
QCD
Structure functions
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Summary: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 3-loop anomalous dimensions of the corresponding singlet operators and the 3-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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(97)80038-7