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The 16th Moment of the Non--Singlet Structure Functions $F_2(x,Q^2)$ and $F_L(x,Q^2)$ to $O(\alpha_s^3)$

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arxiv hep-ph/0411111 v1 pith:ACCVU52Y submitted 2004-11-08 hep-ph

classification hep-ph
keywords functionsmomentnon--singletresultsstructurealphaanalyticanomalous
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the results of an analytic next--to--next--to leading order QCD calculation of the non--singlet anomalous dimension $\gamma_{\rm NS}^+(N)$ and the coefficient functions $C_{2,L}(N)$ associated to the deeply inelastic structure functions $F_2(x,Q^2)$ and $F_L(x,Q^2)$ for the Mellin moment N=16. Comparisons are made with results in the literature.

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