Structural Relations between Nested Harmonic Sums

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dc.creatorBluemlein, Johannes
dc.date2008-07-04
dc.date.accessioned2026-07-07T12:14:54Z
dc.date.available2026-07-07T12:14:54Z
dc.descriptionWe describe the structural relations between nested harmonic sums emerging in the description of physical single scale quantities up to the 3--loop level in renormalizable gauge field theories. These are weight {\sf w=6} harmonic sums. We identify universal basic functions which allow to describe a large class of physical quantities and derive their complex analysis. For the 3--loop QCD Wilson coefficients 35 basic functions are required, whereas a subset of 15 describes the 3--loop anomalous dimensions.
dc.description6 pages, to appear in the Proceedings "Loops and Legs in Quantum Field Theory 2008", Sondershausen, Germany
dc.identifierhttps://arxiv.org/abs/0807.0700
dc.identifierhttp://arxiv.org/abs/0807.0700
dc.identifierNucl.Phys.Proc.Suppl.183:232-237,2008
dc.identifierdoi:10.1016/j.nuclphysbps.2008.09.109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211353
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAlgebraic Geometry
dc.titleStructural Relations between Nested Harmonic Sums
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