Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-14
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 1 Encapsulated Postscript figure
Scientific paper
A 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.
Kapoyannis A. S.
Karanikas Alexandros I.
Ktorides C. N.
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