Complete reduction of one-loop tensor 5- and 6-point integrals
- 5 August 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (3) , 036003
- https://doi.org/10.1103/physrevd.80.036003
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 formulas allow both for a study of analytical properties and for efficient numerical programming. They are implemented in Fortran and Mathematica.Keywords
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