New representation of the two-loop crossed vertex function

Nuclear Physics B

Volumn 488, Issue 1-2, 1997, Pages 426-440

  Frink, Alexander ^a   Kilian, Ulrich ^a   Kreimer, Dirk ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

2 Loop calculations; Feynman diagrams; Radiative corrections; Vertex function

Indexed keywords

EID: 0031575720     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00026-6     Document Type: Article

References (17)

1. [1] D. Kreimer, Phys. Lett. B 273 (1991) 277.
2. [2] D. Kreimer, Phys. Lett. B 292 (1992) 341.
3. [3] A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259.
4. [4] O.V. Tarasov, An algorithm for small momentum expansion of Feynman diagrams, in Proceedings AIHENP95: New Computing Techniques in Physics Research IV, ed. B. Denby, D. Perret-Gallix (World Scientific, Singapore, 1995).
5. [5] J. Fujimoto, Y. Shimizu, K. Kato and T. Kaneko, Numerical approach to two-loop three-point functions with masses, in Proceedings AIHENP95: New Computing Techniques in Physics Research IV, Eds. B. Denby, D. Perret-Gallix (World Scientific, Singapore, 1995).
6. [6] L. Brücher, J. Franzkowski, A. Frink, D. Kreimer, contributed talks given at AIHENP96, Lausanne, September 1996, to appear. See also the homepage http://dipmza.physik.unimainz.de/~Bruecher/xloops.html
7. [7] S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
8. [8] J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, Numerical approach to two-loop integrals, in Proceedings Workshop on HEP and QFT, Sochi ( 1992), in Phys. Atom. Nucl. 56.
9. [9] J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413.
10. [10] A. Ghinculov, Nucl. Phys. B 455 (1995) 21.
11. [11] A. Frink, B. Kniehl, D. Kreimer and K. Riesselmann, Phys. Rev. D 54 (1996) 4548.
12. [12] P. Henrici, Applied and computational complex analysis, Vol. I (Wiley, New York, 1974).
13. [13] G.M. Fichtenholz, Integral and differential calculus, Vol. II (Fizmatgiz, Moscow, 1959).
14. [14] N.I. Ussyukina and A.I. Davydychev, Phys. Lett. B 298 (1993) 363.
15. [15] N.I. Ussyukina and A.I. Davydychev, Phys. Lett. B 332 (1994) 159.
16. [16] L. Lewin, Polylogarithms and associated functions (North-Holland, Amsterdam, 1981).
17. [17] A.I. Davydychev and J.B. Tausk, Nucl. Phys. B 397 (1993) 123.