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preprints:2002:ttp02-22 [2016/03/17 11:03] (current)
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 +====== TTP02-22 Non-Singlet Structure Functions at Three Loops: Fermionic Contributions ====== 
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 +   <​hidden TTP02-22 ​ Non-Singlet Structure Functions at Three Loops: Fermionic Contributions >        We compute the fermionic (n_f) contributions to the flavour 
 + ​non-singlet structure functions in unpolarized electromagnetic 
 + ​deep-inelastic scattering at third order of massless 
 +        perturbative QCD. Complete results are presented for the 
 + ​corresponding nf-parts of the three-loop anomalous dimension and the 
 + ​three-loop coefficient functions for the structure 
 +        functions F_2 and F_L. Our results agree with all partial and 
 + ​approximate results available in the literature. The present calculation 
 + also facilitates a complete determination of the 
 +        threshold-resummation parameters B_2 and D_2^DIS of which only the 
 + sum was known so far, thus completing the information required for the 
 + ​next-to-next-to-leading logarithmic 
 +        resummation. We find that D_2^DIS vanishes in the MSbar scheme. 
 + </​hidden>​ 
 +|**S. Moch, J.A.M. Vermaseren and A. Vogt** ​ |  
 +|**  Nucl.Phys. ​ B646 181-200 2002  **  | 
 +| {{preprints:​2002:​ttp02-22.pdf|PDF}} {{preprints:​2002:​ttp02-22.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0209100|arXiv]] ​  | 
 +| |