Abstract
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 n f -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 MS scheme.
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