# Complete reduction of one-loop tensor 5-and 6-point integrals

Diakonidis T, Riemann T, Tausk JB, Fleischer J, Gluza J, Kajda K (2009) *Physical Review D* 80(3).

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Diakonidis, Theodoros
;
Riemann, Tord
;
Tausk, J. B.
;
Fleischer, Jochem

^{UniBi}; Gluza, J. ; Kajda, K.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.

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Diakonidis T, Riemann T, Tausk JB, Fleischer J, Gluza J, Kajda K. Complete reduction of one-loop tensor 5-and 6-point integrals.

*Physical Review D*. 2009;80(3).Diakonidis, T., Riemann, T., Tausk, J. B., Fleischer, J., Gluza, J., & Kajda, K. (2009). Complete reduction of one-loop tensor 5-and 6-point integrals.

*Physical Review D*,*80*(3). doi:10.1103/PhysRevD.80.036003Diakonidis, T., Riemann, T., Tausk, J. B., Fleischer, J., Gluza, J., and Kajda, K. (2009). Complete reduction of one-loop tensor 5-and 6-point integrals.

*Physical Review D*80.Diakonidis, T., et al., 2009. Complete reduction of one-loop tensor 5-and 6-point integrals.

*Physical Review D*, 80(3). T. Diakonidis, et al., “Complete reduction of one-loop tensor 5-and 6-point integrals”,

*Physical Review D*, vol. 80, 2009. Diakonidis, T., Riemann, T., Tausk, J.B., Fleischer, J., Gluza, J., Kajda, K.: Complete reduction of one-loop tensor 5-and 6-point integrals. Physical Review D. 80, (2009).

Diakonidis, Theodoros, Riemann, Tord, Tausk, J. B., Fleischer, Jochem, Gluza, J., and Kajda, K. “Complete reduction of one-loop tensor 5-and 6-point integrals”.

*Physical Review D*80.3 (2009).
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