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

Sergey I. Alekhin·Johannes Blümlein
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Abstract

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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Sergey I. Alekhin, Johannes Blümlein. 2004-04-04. Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions. https://doi.org/10.1016/j.physletb.2004.05.042

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