A complete reduction of one-loop tensor 5- and 6-point integrals

Details A complete reduction of one-loop tensor 5- and 6-point integrals A complete reduction of one-loop tensor 5- and 6-point integrals

2008-12-11

arxiv.org/abs/0812.2134v1

Phys.Rev.D80:036003,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 40 pages, 1 eps figure

Scientific paper

10.1103/PhysRevD.80.036003

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.

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