Reduction Method for One-loop Tensor 5- and 6-point Integrals Revisited

A complete analytical reduction of general one-loop Feynman integrals with five legs for tensors up to rank R=3 and six legs for tensors up to rank 4 is reviewed. An elegant formalism with extensive use of signed minors was developed for the cancellation of leading inverse Gram determinants.The resu...

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Bibliographic Details
Published in:arXiv.org 2009-01
Main Author: Diakonidis, Theodoros
Format: Article
Language:English
Subjects:
Integrals
Legs
Mathematical analysis
Reduction
Tensors
Online Access:Get full text
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Summary:A complete analytical reduction of general one-loop Feynman integrals with five legs for tensors up to rank R=3 and six legs for tensors up to rank 4 is reviewed. An elegant formalism with extensive use of signed minors was developed for the cancellation of leading inverse Gram determinants.The resulting compact formulae allow both for a study of analytical properties and for efficient numerical programming. Here some special numerical examples are presented.
ISSN:2331-8422