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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]] | | ||

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