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

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arxiv hep-ph/0404034 v1 pith:QDLY3NP5 submitted 2004-04-04 hep-ph hep-ex

classification hep-phhep-ex
keywords flavorfunctionsheavymellincontributionsdeepinelasticstructure
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

    hep-th 2019-12 unverdicted novelty 3.0 of 10

    In the single-term splitting function model, complex maps turn DGLAP contour integrals into Laplace transforms whose inverse yields Barnes integrals for the Bessel solution.

  2. DGLAP-BFKL duality from QCD to quantum computers

    quant-ph 2025-09 reject novelty 2.0 of 10

    The author re-derives a toy-model DGLAP solution as a Bessel function and asserts, without proof, that the BFKL equation can be solved the same way.

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