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arxiv: hep-ph/0404034 · v1 · submitted 2004-04-04 · ✦ hep-ph · hep-ex

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

Sergey I. Alekhin , Johannes Bl\"umlein This is my paper
classification ✦ hep-ph hep-ex
keywords flavorfunctionsheavymellincontributionsdeepinelasticstructure
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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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  1. Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

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