A numerical algorithm for efficiently obtaining a Feynman parameter representation of one-gluon loop QCD Feynman diagrams for a large number of external gluons

Published: 15-04-2006| Version 1 | DOI: 10.17632/cvscgthrhy.1
A.S. Kapoyannis,
A.I. Karanikas,
C.N. Ktorides


Abstract A numerical program is presented which facilitates a computation pertaining to 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 program carries out the Grassmann integration and performs the Lorentz trace on the involved functions, expressing the ... Title of program: DILOG2 Catalogue Id: ADXN_v1_0 Nature of problem The computation of one gluon/ghost loop diagrams in QCD with many external gluon lines is a time consuming task, practically beyond reasonable reach of analytic procedures. We apply recently proposed master formulas towards the computation of such diagrams with an arbitrary number (M) of external gluon lines, achieving a final result which reduces the problem to one involving integrals over the standard set, for a given M, of Feynman parameters. Versions of this program held in the CPC repository in Mendeley Data ADXN_v1_0; DILOG2; 10.1016/j.cpc.2005.12.007 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)