Two-loop Bhabha scattering in QED: Vertex and one-loop by one-loop contributions

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 72, Issue 5, 2005, Pages

  Bonciani, R ^a   Ferroglia, A ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29844440069     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.72.056004     Document Type: Article

References (59)

1. S. Jadach, hep-ph/9602393;
2. G. Montagna, O. Nicrosini, and F. Piccinini, Riv. Nuovo Cimento RNUCAC 0035-5917 21N9, 1 (1998).
3. M. Consoli, Nucl. Phys. NUPBBO 0550-3213 B160, 208 (1979); 10.1016/0550-3213(79)90235-9
4. M. Bohm, A. Denner, and W. Hollik, Nucl. Phys. NUPBBO 0550-3213 B304, 687 (1988). 10.1016/0550-3213(88)90650-5
5. G. Faldt and P. Osland, Nucl. Phys. NUPBBO 0550-3213 B413, 64 (1994); 10.1016/0550-3213(94)90613-0
6. G. Faldt P. Osland Nucl. Phys. NUPBBO 0550-3213 B413, 16 (1994); 10.1016/0550-3213(94)90612-2
7. G. Faldt P. Osland Nucl. Phys. NUPBBO 0550-3213 B419, 404(E) (1994); 10.1016/0550-3213(94)90048-5
8. A.B. Arbuzov, E.A. Kuraev, and B.G. Shaikhatdenov, Mod. Phys. Lett. A 13, 2305 (1998); MPLAEQ 0217-7323 10.1142/S021773239800245X
9. A.B. Arbuzov, E.A. Kuraev, N.P. Merenkov, and L. Trentadue, Nucl. Phys. NUPBBO 0550-3213 B474, 271 (1996). 10.1016/0550-3213(96)00287-8
10. V.S. Fadin, E.A. Kuraev, L. Trentadue, L.N. Lipatov, and N.P. Merenkov, Yad. Fiz. 56N11, 145 (1993) IDFZA7 0044-0027
11. [V.S. Fadin E.A. Kuraev L. Trentadue L.N. Lipatov N.P. Merenkov Phys. At. Nucl. PANUEO 1063-7788 56, 1537 (1993)].
12. A.B. Arbuzov, E.A. Kuraev, N.P. Merenkov, and L. Trentadue, Yad. Fiz. 60N4, 673 (1997) IDFZA7 0044-0027
13. [A.B. Arbuzov E.A. Kuraev N.P. Merenkov L. Trentadue Phys. At. Nucl. PANUEO 1063-7788 60, 591 (1997)].
14. E.W.N. Glover, J.B. Tausk, and J.J. Van der Bij, Phys. Lett. B 516, 33 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00927-3
15. Z. Bern, L.J. Dixon, and A. Ghinculov, Phys. Rev. D 63, 053007 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.053007
16. R. Barbieri, J.A. Mignaco, and E. Remiddi, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 11, 824 (1972);
17. R. Barbieri J.A. Mignaco E. Remiddi Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 11, 865 (1972).
18. S. Catani, Phys. Lett. B 427, 161 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00332-3
19. A.A. Penin, Phys. Rev. Lett. 95, 010408 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.010408
20. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij, Nucl. Phys. NUPBBO 0550-3213 B681, 261 (2004); 10.1016/j.nuclphysb.2004.01. 026
21. R. Bonciani A. Ferroglia P. Mastrolia E. Remiddi J.J. van der Bij Nucl. Phys. NUPBBO 0550-3213 B702, 364(E) (2004). 10.1016/j.nuclphysb.2004.08.003
22. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij, Nucl. Phys. NUPBBO 0550-3213 B701, 121 (2004). 10.1016/j.nuclphysb.2004.09. 015
23. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij, Nucl. Phys. NUPBBO 0550-3213 B716, 280 (2005). 10.1016/j.nuclphysb.2005.03. 010
24. S. Laporta and E. Remiddi, Phys. Lett. B 379, 283 (1996); PYLBAJ 0370-2693 10.1016/0370-2693(96)00439-X
25. S. Laporta, Int. J. Mod. Phys. A 15, 5087 (2000). IMPAEF 0217-751X
26. F.V. Tkachov, Phys. Lett. 100B, 65 (1981); PYLBAJ 0370-2693 10.1016/0370-2693(81)90288-4
27. G. Chetyrkin and F.V. Tkachov, Nucl. Phys. NUPBBO 0550-3213 B192, 159 (1981). 10.1016/0550-3213(81)90199-1
28. T. Gehrmann and E. Remiddi, Nucl. Phys. NUPBBO 0550-3213 B580, 485 (2000). 10.1016/S0550-3213(00)00223-6
29. A.V. Kotikov, Phys. Lett. B 254, 158 (1991); PYLBAJ 0370-2693 10.1016/0370-2693(91)90413-K
30. A.V. Kotikov Phys. Lett. B 259, 314 (1991); PYLBAJ 0370-2693 10.1016/0370-2693(91)90834-D
31. A.V. Kotikov Phys. Lett. B 267, 123 (1991); PYLBAJ 0370-2693 10.1016/0370-2693(91)90536-Y
32. E. Remiddi, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 110, 1435 (1997);
33. M. Caffo, H. Czyz, S. Laporta, and E. Remiddi, Acta Phys. Pol. B APOBBB 0587-4254 29, 2627 (1998);
34. M. Caffo H. Czyz S. Laporta E. Remiddi Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 111, 365 (1998).
35. A.B. Goncharov, Math. Res. Lett. 1073-2780 5, 497 (1998);
36. D.J. Broadhurst, Eur. Phys. J. C 8, 311 (1999); EPCFFB 1434-6044 10.1007/s100520050466
37. E. Remiddi and J.A.M. Vermaseren, Int. J. Mod. Phys. A 15, 725 (2000); IMPAEF 0217-751X 10.1142/S0217751X00000367
38. T. Gehrmann and E. Remiddi, Comput. Phys. Commun. 141, 296 (2001); CPHCBZ 0010-4655 10.1016/S0010-4655(01)00411-8
39. T. Gehrmann E. Remiddi Nucl. Phys. NUPBBO 0550-3213 B601, 248 (2001); 10.1016/S0550-3213(01)00057-8
40. T. Gehrmann E. Remiddi Nucl. Phys. NUPBBO 0550-3213 B640, 379 (2002); 10.1016/S0550-3213(02)00569-2
41. T. Gehrmann E. Remiddi Comput. Phys. Commun. 144, 200 (2002). CPHCBZ 0010-4655 10.1016/S0010-4655(02)00139-X
42. G. 't Hooft and M.J.G. Veltman, Nucl. Phys. NUPBBO 0550-3213 B44, 189 (1972); 10.1016/0550-3213(72)90279-9
43. C.G. Bollini and J.J. Giambiagi, Phys. Lett. 40B, 566 (1972); PYLBAJ 0370-2693 10.1016/0370-2693(72)90483-2
44. C.G. Bollini J.J. Giambiagi Nuovo Cimento Soc. Ital. Fis. B NIFBAP 0369-4100 12, 20 (1972);
45. J.F. Ashmore, Lett. Nuovo Cimento Soc. Ital. Fis. LNUCAE 0375-930X 4, 289 (1972);
46. G.M. Cicuta and E. Montaldi, Lett. Nuovo Cimento Soc. Ital. Fis. LNUCAE 0375-930X 4, 329 (1972);
47. R. Gastmans and R. Meuldermans, Nucl. Phys. NUPBBO 0550-3213 B63, 277 (1973). 10.1016/0550-3213(73)90146-6
48. M. Czakon, J. Gluza, and T. Riemann, Nucl. Phys. B Proc. Suppl. NPBSE7 0920-5632 135, 83 (2004). 10.1016/j.nuclphysbps.2004.09.040
49. M. Czakon, J. Gluza, and T. Riemann, Phys. Rev. D 71, 073009 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.073009
50. V.A. Smirnov, Phys. Lett. B 524, 129 (2002); PYLBAJ 0370-2693 10.1016/S0370-2693(01)01382-X
51. G. Heinrich and V.A. Smirnov, Phys. Lett. B 598, 55 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.07.058
52. J. Fleischer, T. Riemann, O.V. Tarasov, and A. Werthenbach, Nucl. Phys. B Proc. Suppl. NPBSE7 0920-5632 116, 43 (2003). 10.1016/S0920-5632(03)80141-X
53. R. Bonciani, P. Mastrolia, and E. Remiddi, Nucl. Phys. NUPBBO 0550-3213 B661, 289 (2003);
54. R. Bonciani P. Mastrolia E. Remiddi Nucl. Phys. NUPBBO 0550-3213 B702, 359(E) (2004). 10.1016/j.nuclphysb.2004.08.009
55. R. Bonciani, P. Mastrolia, and E. Remiddi, Nucl. Phys. NUPBBO 0550-3213 B676, 399 (2004). 10.1016/j.nuclphysb.2003.10.031
56. The expressions of the functions introduced in Secs. 3 4 5 6 are included in the file Vfactors.inc; the expressions of the functions introduced in Sec. 7 are included in the file Bfactors.inc. The expansions in the limit m2/s→0 of all the contributions to the differential cross section discussed in the paper are collected in Expansions.inc. The files can be downloaded from pheno.physik.uni-freiburg.de/~bhabha.
57. D. Bardin and G. Passarino, The Standard Model in the Making: Precision Study of the Electroweak Interactions (Oxford University, New York, 1999).
58. J.A.M. Vermaseren, Symbolic Manipulation with FORM, Version 2 (Computer Algebra Nederland, Amsterdam, 1991);
59. J.A.M. Vermaseren new features of FORM, math-ph/0010025.