A recursive approach to the reduction of tensor Feynman integrals

Proceedings of Science

Volumn 92, Issue , 2009, Pages

  Diakonidis, Theodoros ^a   Fleischer, Jochem ^b   Riemann, Tord ^a   Tausk, Bas ^a  

^a DESY   (Germany)

^b BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

QUANTUM THEORY;

D DIMENSIONS; FEYNMAN INTEGRALS; FORTRAN CODES; FOUR-POINT; NUMERICAL RESULTS; RECURRENCE RELATIONS; RECURSIVE APPROACH; TENSOR RANKS;

TENSORS;

EID: 85055354474     PISSN: None     EISSN: 18248039     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. − in the Weinberg model, Nucl. Phys. B160 (1979) 151.
2. J. Fleischer and F. Jegerlehner, Radiative Corrections to Higgs Decays in the Extended Weinberg-Salam Model, Phys. Rev. D23 (1981) 2001–2026.
3. T. Riemann, G. Mann, and D. Ebert. Nonconservation of lepton number in Z decay, in: F. Kaschluhn (ed.), Proc. XVth Int. Symp. Ahrenshoop on Special Topics In Gauge Field Theories, Nov 5-12, 1981, Ahrenshoop, GDR, AdW, Zeuthen (1981) PHE 81-07, pp. 88-91.
4. G. Mann and T. Riemann, Effective flavor changing weak neutral current in the standard theory and Z boson decay, Annalen Phys. 40 (1984) 334.
5. T. Hahn and M. Perez-Victoria, Automatized one-loop calculations in four and d dimensions, Comput. Phys. Commun. 118 (1999) 153–165, [http://arXiv.org/abs/hep-ph/9807565].
6. G. J. van Oldenborgh, FF: A Package to evaluate one loop Feynman diagrams, Comput. Phys. Commun. 66 (1991) 1–15.
7. T. Binoth, J. P. Guillet, G. Heinrich, E. Pilon, and T. Reiter, Golem95: a numerical program to calculate one-loop tensor integrals with up to six external legs, Comput. Phys. Commun. 180 (2009) 2317–2330, [0810.0992].
8. T. Diakonidis, J. Fleischer, J. Gluza, K. Kajda, T. Riemann, and J. Tausk, On the tensor reduction of one-loop pentagons and hexagons, Nucl. Phys. Proc. Suppl. 183 (2008) 109–115, [0807.2984].
9. T. Diakonidis et al., A complete reduction of one-loop tensor 5- and 6-point integrals, Phys. Rev. D80 (2009) 036003, [0812.2134].
10. A. I. Davydychev, A Simple formula for reducing Feynman diagrams to scalar integrals, Phys. Lett. B263 (1991) 107–111.
11. O. V. Tarasov, Connection between Feynman integrals having different values of the space-time dimension, Phys. Rev. D54 (1996) 6479–6490, [hep-th/9606018].
12. T. Diakonidis, J. Fleischer, T. Riemann, and J. B. Tausk, A recursive reduction of tensor Feynman integrals, Phys. Lett. B683 (2010) 69–74, [arXiv:0907.2115].
13. R. K. Ellis and G. Zanderighi, Scalar one-loop integrals for QCD, JHEP 02 (2008) 002, [0712.1851].
14. J. Fleischer, F. Jegerlehner, and O. Tarasov, Algebraic reduction of one-loop Feynman graph amplitudes, Nucl. Phys. B566 (2000) 423–440, [hep-ph/9907327].
15. T. Binoth, J. Guillet, G. Heinrich, E. Pilon, and C. Schubert, An algebraic / numerical formalism for one-loop multi-leg amplitudes, JHEP 10 (2005) 015, [hep-ph/0504267].
16. A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B734 (2006) 62–115, [hep-ph/0509141].
17. D. B. Melrose, Reduction of Feynman diagrams, Nuovo Cim. 40 (1965) 181–213.
18. T. Diakonidis and B. Tausk. Fortran package Hexagon.F v.0.9.
19. P. Uwer. Private communication.
20. T. Riemann, Transparencies of talk at this workshop.