Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
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 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.
Keywords
Cite
@article{arxiv.hep-ph/0209100,
title = {Non-Singlet Structure Functions at Three Loops: Fermionic Contributions},
author = {S. Moch and J. A. M. Vermaseren and A. Vogt},
journal= {arXiv preprint arXiv:hep-ph/0209100},
year = {2010}
}
Comments
20 pages, LaTeX, 1 eps-figure