10.1103/PhysRevD.80.036003
Diakonidis, Theodoros
Theodoros
Diakonidis
Riemann, Tord
Tord
Riemann
Tausk, J. B.
J. B.
Tausk
Fleischer, Jochem
Jochem
Fleischer
Gluza, J.
J.
Gluza
Kajda, K.
K.
Kajda
Complete reduction of one-loop tensor 5-and 6-point integrals
American Physical Society (APS)
2009
2010-04-26T09:45:33Z
2018-07-24T12:58:25Z
journal_article
https://pub.uni-bielefeld.de/record/1590880
https://pub.uni-bielefeld.de/record/1590880.json
1550-7998
0812.2134
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.