A numerical algorithm for computing the complete set of one-gluon loop diagrams in QCD on the basis of a single master expression

dc.creatorKapoyannis, A. S.
dc.creatorKaranikas, A. I.
dc.creatorKtorides, C. N.
dc.date2004-03-14
dc.date2004-04-20
dc.date.accessioned2026-07-07T04:16:43Z
dc.date.available2026-07-07T04:16:43Z
dc.descriptionA numerical program is presented which facilitates the computation of the full set of one-gluon loop diagrams (including ghost loop contributions), with M attached external gluon lines in all possible ways. The feasibility of such a task rests on a suitably defined master formula, which is expressed in terms of a set of Grassmann and a set of Feynman parameters, the number of which increases with M. An important component of the numerical program is an algorithm for computing multi-Grassmann variable integrals. The cases M=2, 3, 4, which are the only ones having divergent terms, are fully worked out. A complete agreement with known, analytic results pertaining to the divergent terms is attained.
dc.description17 pages, 1 Encapsulated Postscript figure
dc.identifierhttps://arxiv.org/abs/hep-th/0403148
dc.identifierhttp://arxiv.org/abs/hep-th/0403148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52470
dc.subjectHigh Energy Physics - Theory
dc.titleA numerical algorithm for computing the complete set of one-gluon loop diagrams in QCD on the basis of a single master expression
dc.typetext

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