Complete reduction of one-loop tensor 5-and 6-point integrals
Diakonidis, Theodoros
Diakonidis
Theodoros
Riemann, Tord
Riemann
Tord
Tausk, J. B.
Tausk
J. B.
Fleischer, Jochem
Fleischer
Jochem
Gluza, J.
Gluza
J.
Kajda, K.
Kajda
K.
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.
80
3
American Physical Society (APS)
2009