A complete reduction of one-loop tensor 5- and 6-point integrals
High Energy Physics - Phenomenology
2009-09-02 v1
Abstract
We perform a complete analytical reduction of general one-loop Feynman integrals with five and six external legs for tensors up to rank R=3 and 4, respectively. An elegant formalism with extensive use of signed minors is developed for the cancellation of inverse Gram determinants. The 6-point tensor functions of rank R are expressed in terms of 5-point tensor functions of rank R-1, and the latter are reduced to scalar four-, three-, and two-point functions. The resulting compact formulae allow both for a study of analytical properties and for efficient numerical programming. They are implemented in Fortran and Mathematica.
Cite
@article{arxiv.0812.2134,
title = {A complete reduction of one-loop tensor 5- and 6-point integrals},
author = {Th. Diakonidis and J. Fleischer and J. Gluza and K. Kajda and T. Riemann and J. B. Tausk},
journal= {arXiv preprint arXiv:0812.2134},
year = {2009}
}
Comments
Latex, 40 pages, 1 eps figure