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 — preprints:2000:ttp00-13 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP00-13 Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD ====== + + + <​hidden TTP00-13 ​ 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. + ​ + |**A.Retey and J.A.M. Vermaseren** ​ | + |**  Nucl. Phys.  B604 281-311 2001  **  | + | {{preprints:​2000:​ttp00-13.pdf|PDF}} {{preprints:​2000:​ttp00-13.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0007294|arXiv]] ​  | + | |