Analytic continuation of Mellin transforms up to two-loop order
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Publication:5932772
DOI10.1016/S0010-4655(00)00156-9zbMATH Open0977.65120arXivhep-ph/0003100MaRDI QIDQ5932772
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Publication date: 21 January 2002
Published in: (Search for Journal in Brave)
Abstract: The analytic continuation of the Mellin transforms to complex values of N for the basic functions of the momentum fraction x emerging in the quantities of massless QED and QCD up to two-loop order, as the unpolarized and polarized splitting functions, coefficient functions, and hard scattering cross sections for space- and time-like momentum transfer are evaluated. These Mellin transforms provide the analytic continuations of all finite harmonic sums up to the level of the threefold sums of transcendentality four, where the basis-set consists of products of {sc Nielsen}-integrals up to transcendentality four. The computer code { t ANCONT} is provided.
Full work available at URL: https://arxiv.org/abs/hep-ph/0003100
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