Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions

Details Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions

2004-04-04

arxiv.org/abs/hep-ph/0404034v1

Phys.Lett. B594 (2004) 299-307

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages Letex, 1 style file, 10 eps figures

Scientific paper

10.1016/j.physletb.2004.05.042

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 $F_2(x,Q^2), F_L(x,Q^2)$ and $g_1(x,Q^2)$.

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