We derive semi--analytic expressions for the analytic continuation of the Mellin transforms of the heavy flavor QCD coefficient functions for neutral current deep inelastic scattering in leading and next-to-leading order to complex values of the Mellin variable N. These representations are used in Mellin--space QCD evolution programs to provide fast evaluations of the heavy flavor contributions to the structure functions F2(x,Q2),FL(x,Q2) and g1(x,Q2).
Cite
@article{arxiv.hep-ph/0404034,
title = {Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions},
author = {Sergey I. Alekhin and Johannes Blümlein},
journal= {arXiv preprint arXiv:hep-ph/0404034},
year = {2010}
}