Geometrical methods in loop calculations and the three-point function

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 559, Issue 1 SPEC. ISS., 2006, Pages 293-297

  Davydychev, Andrei I ^a,b  

^a SCHLUMBERGER   (United States)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Dimensional regularization; Feynman diagram; Three point function

Indexed keywords

FUNCTIONS; KINEMATICS; PHASE DIAGRAMS;

DIMENSIONAL REGULARIZATION; FEYNMAN DIAGRAM; THREE-POINT FUNCTION;

COMPUTATIONAL GEOMETRY;

EID: 33644959490     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nima.2005.11.174     Document Type: Article

References (32)

1. L.D. Landau Nucl. Phys. 13 1959 181
2. G. Källen, and A. Wightman Mat. Fys. Skr. Dan. Vid. Selsk. 1 6 1958 1
3. S. Mandelstam Phys. Rev. 115 1959 1741
4. R.E. Cutkosky J. Math. Phys. 1 1960 429
5. J.C. Taylor Phys. Rev. 117 1960 261
6. A.I. Davydychev, and R. Delbourgo J. Math. Phys. 39 1998 4299
7. B.G. Nickel J. Math. Phys. 19 1978 542
8. N. Ortner, and P. Wagner Ann. Inst. Henri Poincaré (Phys. Théor.) 63 1995 81
9. P. Wagner Indag. Math. 7 1996 527
10. A.I. Davydychev Phys. Rev. D61 2000 087701
11. G. 'tHooft, and M. Veltman Nucl. Phys. B44 1972 189
12. C.G. Bollini, and J.J. Giambiagi Nuovo Cim. 12B 1972 20
13. J.F. Ashmore Lett. Nuovo Cim. 4 1972 289
14. G.M. Cicuta, and E. Montaldi Lett. Nuovo Cim. 4 1972 329
15. A.I. Davydychev, hep-th/9908032.
16. A.I. Davydychev, P. Osland, and L. Saks J. High Energy Phys. 08 2001 50
17. A.I. Davydychev, and M.Yu. Kalmykov Nucl. Phys. B (Proc. Suppl.) 89 2000 283
18. A.I. Davydychev, and M.Yu. Kalmykov Nucl. Phys. B605 2001 266
19. O.V. Tarasov Nucl. Phys. B (Proc. Suppl.) 89 2000 237
20. J. Fleischer, F. Jegerlehner, and O.V. Tarasov Nucl. Phys. B672 2003 303
21. L.G. Cabral-Rosetti, M.A. Sanchis-Lozano, hep-ph/0206081.
22. O.V. Tarasov Phys. Rev. D54 1996 6479
23. Z. Bern, L. Dixon, and D.A. Kosower Phys. Lett. B302 1993 299
24. Z. Bern, L. Dixon, and D.A. Kosower Nucl. Phys. B412 1994 751
25. T. Binoth, J.Ph. Guillet, and G. Heinrich Nucl. Phys. B572 2000 361
26. W.T. Giele, and E.W.N. Glover J. High Energy Phys. 04 2004 029
27. G. 'tHooft, and M. Veltman Nucl. Phys. B153 1979 365
28. U. Nierste, D. Müller, and M. Böhm Z. Phys. C57 1993 605
29. N.I. Ussyukina, and A.I. Davydychev Phys. Lett. B332 1994 159
30. A.I. Davydychev, and J.B. Tausk Phys. Rev. D53 1996 7381
31. J.G. Körner, Z. Merebashvili, and M. Rogal Nucl. Phys. B (Proc. Suppl.) 135 2004 285
32. J.G. Körner, Z. Merebashvili, and M. Rogal Phys. Rev. D71 2005 054028