Two-loop vertices in quantum field theory: Infrared convergent scalar configurations

Nuclear Physics B

Volumn 680, Issue 1-3, 2004, Pages 199-270

  Ferroglia, Andrea ^a,b   Passera, Massimo ^c,d,e   Passarino, Giampiero ^f,g   Uccirati, Sandro ^f,g  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c UNIVERSITY OF PADOVA   (Italy)

^d UNIVERSITY OF VALENCIA   (Spain)

^e UNIVERSITY OF BERN   (Switzerland)

^f UNIVERSITY OF TURIN   (Italy)

^g SEZIONE DI TORINO   (Italy)

Author keywords

Feynman diagrams; Multi loop calculations; Vertex diagrams

Indexed keywords

EID: 0742267929     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.12.016     Document Type: Article

References (94)

1. Passarino G. Nucl. Phys. B 619 2001 257
2. Passarino G. Uccirati S. Nucl. Phys. B 629 2002 97
3. Ferroglia A. Passera M. Passarino G. Uccirati S. Nucl. Phys. B 650 2003 162
4. A. Ferroglia, G. Passarino, M. Passera, S. Uccirati, Prepared for 31st International Conference on High Energy Physics (ICHEP 2002), Amsterdam, The Netherlands
5. Ferroglia A. Passarino G. Uccirati S. Passera M. Nucl. Instrum. Methods A 502 2003 391
6. Davydychev A.I. Smirnov V.A. hep-ph/0210171
7. Bern Z. Nucl. Phys. B (Proc. Suppl.) 117 2003 260
8. Chetyrkin K.G. Seidensticker T. Phys. Lett. B 495 2000 74
9. Smirnov V.A. Rakhmetov E.R. Theor. Math. Phys. 120 1999 870
10. Fleischer J. Kotikov A.V. Veretin O.L. Nucl. Phys. B 547 1999 343
11. Suzuki A.T. Schmidt A.G. Bentin R. Nucl. Phys. B 537 1999 549
12. Fleischer J. Tentyukov M. hep-ph/9802244
13. Frink A. Nucl. Instrum. Methods A 389 1997 339
14. Fleischer J. Int. J. Mod. Phys. C 6 1995 495
15. Frink A. Kilian U. Kreimer D. Nucl. Phys. B 488 1997 426
16. Czarnecki A. Kilian U. Kreimer D. Nucl. Phys. B 433 1995 259
17. Kniehl B.A. Phys. Lett. B 237 1990 127
18. Burgers G.J. Phys. Lett. B 164 1985 167
19. Ghinculov A. Yao Y. Phys. Rev. D 63 2001 054510
20. Ghinculov A. Yao Y. Mod. Phys. Lett. A 15 2000 1967
21. Ghinculov A. Yao Y. Mod. Phys. Lett. A 15 2000 925
22. Ghinculov A. Yao Y. Nucl. Phys. B 516 1998 385
23. A. Ferroglia, G. Passarino, M. Passera, S. Uccirati, Tensor integrals for two-loop two and three point Feynman diagrams, in preparation
24. A. Ferroglia, G. Passarino, M. Passera, S. Uccirati, Two-loop vertices in quantum field theory: infrared divergent configurations, in preparation
25. Bonciani R. Mastrolia P. Remiddi E. hep-ph/0311145
26. Davydychev A.I. Kalmykov M.Y. hep-th/0303162
27. Vermaseren J.A. math-ph/0010025
28. A. Ferroglia, G. Passarino, M. Passera, S. Uccirati, GraphShot, a FORM package for automatic generation of one- and two-loop Feynman diagrams, in preparation
29. G. Passarino, S. Uccirati, TopSideF, a FORTRAN code for numerical evaluation of one- and two-loop Feynman diagrams, in preparation
30. Tentyukov M. Fleischer J. Comput. Phys. Commun. 132 2000 124
31. Kublbeck J. Eck H. Mertig R. Nucl. Phys. (Proc. Suppl.) A 29 1992 204
32. Fleischer J. Tarasov O.V. Comput. Phys. Commun. 71 1992 193
33. S.A. Larin, F.V. Tkachov, J.A.M. Vermaseren, NIKHEF-H-91-18
34. Gorishnii S.G. Larin S.A. Surguladze L.R. Tkachov F.V. Comput. Phys. Commun. 55 1989 381
35. Goldberg G. Phys. Rev. D 32 1985 3331
36. Smirnov V.A. Nucl. Phys. B (Proc. Suppl.) 116 2003 417
37. Tarasov O.V. Nucl. Phys. B 480 1996 397
38. Gehrmann T. Remiddi E. Nucl. Phys. B 601 2001 287
39. Laporta S. Int. J. Mod. Phys. A 15 2000 5087
40. Baikov P.A. Phys. Lett. B 385 1996 404
41. Smirnov V.A. Steinhauser M. hep-ph/0307088
42. Tkachov F.V. Nucl. Instrum. Methods A 389 1997 309
43. Bertstein L.N. Functional Anal. Appl. 6 1972 66
44. Eden R.J. Landshoff P.V. Olive D.I. Polkinghorne J.C. The Analytic S-Matrix 1966 Cambridge Univ. Press
45. Mastrolia P. Remiddi E. Nucl. Phys. B 664 2003 341
46. Caffo M. hep-ph/0311052
47. Martin S.P. Phys. Rev. D 68 2003 075002
48. Bonciani R. Mastrolia P. Remiddi E. Nucl. Phys. B 661 2003 289
49. Caffo M. Czyz H. Remiddi E. Nucl. Phys. B (Proc. Suppl.) 116 2003 422
50. Caffo M. Czyz H. Remiddi E. Nucl. Instrum. Methods A 502 2003 613
51. Caffo M. Czyz H. Remiddi E. Nucl. Phys. B 634 2002 309
52. Gehrmann T. Remiddi E. Nucl. Phys. B (Proc. Suppl.) 89 2000 251
53. Gehrmann T. Remiddi E. Nucl. Phys. B 580 2000 485
54. Caffo M. Czyz H. Laporta S. Remiddi E. Nuovo Cimento A 111 1998 365
55. Passarino G. Veltman M. Nucl. Phys. B 160 1979 151
56. Bardin D. Passarino G. The Standard Model in the Making: Precision Study of the Electroweak Interactions 1999 Clarendon Oxford
57. Catani S. Seymour M.H. hep-ph/9609521
58. Catani S. Dittmaier S. Seymour M.H. Trocsanyi Z. Nucl. Phys. B 627 2002 189
59. Dittmaier S. Nucl. Phys. B 565 2000 69
60. Binoth T. Heinrich G. Nucl. Phys. B 585 2000 741
61. Denner A. Melles M. Pozzorini S. Nucl. Phys. B 662 2003 299
62. Hepp K. Commun. Math. Phys. 2 1966 301
63. Landau L.D. Nucl. Phys. 13 1959 181
64. 't Hooft G. Veltman M. Nucl. Phys. B 44 1972 189
65. van der Bij J. Veltman M.J. Nucl. Phys. B 231 1984 205
66. Cvitanovic P. Kinoshita T. Phys. Rev. D 10 1974 3978
67. Erdelyi R. et al. Higher Transcendental Functions, vol. 2 1953 McGraw-Hill
68. Slater L.J. Generalized Hypergeometric Functions 1966 Cambridge Univ. Press
69. Lewin L. Poly-Logarithms and Associated Functions 1981 North-Holland
70. Ghinculov A. van der Bij J.J. Nucl. Phys. B 436 1995 30
71. Abramowitz M. Stegun I.A. Handbook of Mathematical Functions 1970 Dover
72. Korobov N.M. Dokl. Acad. Nauk USSR 115 1957 1062
73. Conroy H. J. Chem. Phys. 47 1967 5307
74. Cranley R. Patterson T.N.L. SIAM J. Numer. Anal. 137 1976 904
75. NAG Fortran Library, Mark 19, The Numerical Algorithms Group, Oxford, 1999
76. Cutkosky R.E. J. Math. Phys. 1 1960 429
77. 't Hooft G. Veltman M.J. Louvain 1973, Particle Interactions at Very High Energies, Part B, New York 1973 177-322
78. G. 't Hooft, M.J. Veltman, CERN Geneva-CERN 73-9
79. Kershaw D. Phys. Rev. D 5 1972 1976
80. Tarasov O.V. hep-ph/9505277
81. F.V. Tkachov, New methods for evaluation of multi-loop Feynman diagrams, PhD thesis, INR, Moscow, 1984
82. Tkachov F.V. Phys. Lett. B 100 1981 65
83. Chetyrkin K.G. Tkachov F.V. Nucl. Phys. B 192 1981 159
84. Tkachov F.V. Theor. Math. Phys. 56 1983 866
85. Tkachov F.V. hep-ph/0202033
86. Laporta S. hep-ph/0311065
87. Grassi P.A. Kniehl B.A. Sirlin A. Phys. Rev. D 65 2002 085001
88. Gambino P. Grassi P.A. Phys. Rev. D 62 2000 076002
89. Nielsen N.K. Nucl. Phys. B 101 1975 173
90. Bardin D.Y. Kalinovskaya L.V. Tkachov F.V. hep-ph/0012209
91. Passarino G. J. Phys. G 29 2003 121
92. Davis P.J. Rabinowitz P. Numerical Integration 1967 Blaisdell
93. 't Hooft G. Veltman M. Nucl. Phys. B 153 1979 365
94. Wu A.C. Phys. Rev. D 9 1974 370