Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 72, Issue 9, 2005, Pages

  Martin, Stephen P ^a,b  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

^b FERMI NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29744459261     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.72.096008     Document Type: Article

References (103)

1. G. Weigl (LHC/LC Study Group), hep-ph/0410364.
2. A. Heister (ALEPH Collaboration), Phys. Lett. B 526, 206 (2002); PYLBAJ 0370-2693 10.1016/S0370-2693(01)01494-0
3. J. Abdallah, (DELPHI Collaboration), Eur. Phys. J. C 31, 421 (2004); EPCFFB 1434-6044
4. P. Achard (L3 Collaboration), Phys. Lett. B 580, 37 (2004); PYLBAJ 0370-2693 10.1016/j.physletb.2003.10.010
5. G. Abbiendi (OPAL Collaboration), Eur. Phys. J. C 32, 453 (2004); EPCFFB 1434-6044 10.1140/epjc/s2003-01466-y
6. LEP2 SUSY Working Group, http://lepsusy.web.cern.ch/lepsusy/.
7. B. Abbott (D0 Collaboration), Phys. Rev. Lett. 83, 4937 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.4937
8. B. Abbott Phys. Rev. D 63, 091102 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.091102
9. B. Abbott Phys. Rev. D 60, 031101 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.031101
10. B. Abbott Phys. Rev. Lett. 93, 011801 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.011801
11. T. Affolder (CDF Collaboration), Phys. Rev. Lett. 76, 2006 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.76.2006
12. T. Affolder Phys. Rev. Lett. 84, 5704 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.5704
13. T. Affolder Phys. Rev. Lett. 90, 251801 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.251801
14. R. Tarrach, Nucl. Phys. NUPBBO 0550-3213 B183, 384 (1981). 10.1016/0550-3213(81)90140-1
15. D. Atkinson and M.P. Fry, Nucl. Phys. NUPBBO 0550-3213 B156, 301 (1979). 10.1016/0550-3213(79)90033-6
16. J.C. Breckenridge, M.J. Lavelle, and T.G. Steele, Z. Phys. C 65, 155 (1995). ZPCFD2 0170-9739 10.1007/BF01571316
17. A.S. Kronfeld, Phys. Rev. D 58, 051501 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.051501
18. S. Willenbrock and G. Valencia, Phys. Lett. B 259, 373 (1991). PYLBAJ 0370-2693 10.1016/0370-2693(91)90843-F
19. R.G. Stuart, Phys. Lett. B 262, 113 (1991); PYLBAJ 0370-2693 10.1016/0370-2693(91)90653-8
20. R.G. Stuart Phys. Lett. B 272, 353 (1991); PYLBAJ 0370-2693 10.1016/0370-2693(91)91842-J
21. R.G. Stuart Phys. Rev. Lett. 70, 3193 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.3193
22. A. Sirlin, Phys. Lett. B 267, 240 (1991); PYLBAJ 0370-2693 10.1016/0370-2693(91)91254-S
23. A. Sirlin Phys. Rev. Lett. 67, 2127 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.2127
24. M. Passera and A. Sirlin, Phys. Rev. Lett. 77, 4146 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.4146
25. M. Passera A. Sirlin Phys. Rev. D 58, 113010 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.113010
26. P. Gambino and P.A. Grassi, Phys. Rev. D 62, 076002 (2000), PRVDAQ 0556-2821 10.1103/PhysRevD.62.076002
27. P.A. Grassi, B.A. Kniehl, and A. Sirlin, Phys. Rev. Lett. 86, 389 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.86.389
28. P.A. Grassi B.A. Kniehl A. Sirlin Phys. Rev. D 65, 085001 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.085001
29. I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev, and A.I. Vainshtein, Phys. Rev. D 50, 2234 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.50.2234
30. M. Beneke and V.M. Braun, Nucl. Phys. NUPBBO 0550-3213 B426, 301 (1994). 10.1016/0550-3213(94)90314-X
31. M.C. Smith and S.S. Willenbrock, Phys. Rev. Lett. 79, 3825 (1997); PRLTAO 0031-9007 10.1103/PhysRevLett.79.3825
32. A.H. Hoang, M.C. Smith, T. Stelzer, and S. Willenbrock, Phys. Rev. D 59, 114014 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.114014
33. M. Beneke, Phys. Lett. B 434, 115 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00741-2
34. M. Beneke, hep-ph/0003033.
35. N. Gray, D.J. Broadhurst, W. Grafe, and K. Schilcher, Z. Phys. C 48, 673 (1990). ZPCFD2 0170-9739 10.1007/BF01614703
36. L.V. Avdeev and M.Y. Kalmykov, Nucl. Phys. NUPBBO 0550-3213 B502, 419 (1997). 10.1016/S0550-3213(97)00404-5
37. J. Fleischer, F. Jegerlehner, O.V. Tarasov, and O.L. Veretin, Nucl. Phys. NUPBBO 0550-3213 B539, 671 (1999); 10.1016/S0550-3213(98)00705-6
38. J. Fleischer F. Jegerlehner O.V. Tarasov O.L. Veretin Nucl. Phys. NUPBBO 0550-3213 B571, 511(E) (2000). 10.1016/S0550-3213(99)00794-4
39. F. Jegerlehner and M.Y. Kalmykov, Nucl. Phys. NUPBBO 0550-3213 B676, 365 (2004). 10.1016/j.nuclphysb.2003.10.012
40. K.G. Chetyrkin and M. Steinhauser, Nucl. Phys. NUPBBO 0550-3213 B573, 617 (2000). 10.1016/S0550-3213(99)00784-1
41. K. Melnikov and T. v. Ritbergen, Phys. Lett. B 482, 99 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00507-4
42. T.H. Chang, K.J.F. Gaemers, and W.L. van Neerven, Nucl. Phys. NUPBBO 0550-3213 B202, 407 (1982). 10.1016/0550-3213(82)90407-2
43. A. Djouadi and C. Verzegnassi, Phys. Lett. B 195, 265 (1987). PYLBAJ 0370-2693 10.1016/0370-2693(87)91206-8
44. A. Djouadi, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 100, 357 (1988).
45. B.A. Kniehl, J.H. Kuhn, and R.G. Stuart, Phys. Lett. B 214, 621 (1988). PYLBAJ 0370-2693 10.1016/0370-2693(88)90132-3
46. B.A. Kniehl, Nucl. Phys. NUPBBO 0550-3213 B347, 86 (1990). 10.1016/0550-3213(90)90552-O
47. A. Djouadi and P. Gambino, Phys. Rev. D 49, 3499 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.49.3499
48. A. Djouadi P. Gambino Phys. Rev. D 53, 4111(E) (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.53.4111
49. F. Jegerlehner, M.Y. Kalmykov, and O. Veretin, Nucl. Phys. NUPBBO 0550-3213 B641, 285 (2002); 10.1016/S0550-3213(02)00613-2
50. F. Jegerlehner M.Y. Kalmykov O. Veretin Nucl. Phys. NUPBBO 0550-3213 B658, 49 (2003). 10.1016/S0550-3213(03)00177-9
51. A. Bednyakov, A. Onishchenko, V. Velizhanin, and O. Veretin, Eur. Phys. J. C 29, 87 (2003). EPCFFB 1434-6044
52. A. Bednyakov and A. Sheplyakov, Phys. Lett. B 604, 91 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.10.051
53. A. Bednyakov, D.I. Kazakov, and A. Sheplyakov, hep-ph/0507139.
54. Y. Yamada, Phys. Lett. B 623, 104 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.08.004
55. S.P. Martin, Phys. Rev. D 70, 016005 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.016005
56. S.P. Martin, Phys. Rev. D 71, 116004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.116004
57. S.P. Martin, hep-ph/9709356.
58. J. Wess and J. Bagger, Supersymmetry and Supergravity (Princeton University Press, Princeton, NJ, 1992).
59. G. 't Hooft and M.J. Veltman, Nucl. Phys. NUPBBO 0550-3213 B44, 189 (1972); 10.1016/0550-3213(72)90279-9
60. W.A. Bardeen, A.J. Buras, D.W. Duke, and T. Muta, Phys. Rev. D 18, 3998 (1978). PRVDAQ 0556-2821 10.1103/PhysRevD.18.3998
61. W. Siegel, Phys. Lett. 84B, 193 (1979); PYLBAJ 0370-2693 10.1016/0370-2693(79)90282-X
62. D.M. Capper, D.R.T. Jones, and P. van Nieuwenhuizen, Nucl. Phys. NUPBBO 0550-3213 B167, 479 (1980). 10.1016/0550-3213(80)90244-8
63. I. Jack and D.R.T. Jones, Phys. Lett. B 333, 372 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90156-2
64. I. Jack, Phys. Rev. D 50, R5481 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.R5481
65. S.P. Martin, Phys. Rev. D 65, 116003 (2002), PRVDAQ 0556-2821 10.1103/PhysRevD.65.116003
66. S.P. Martin, Phys. Rev. D 68, 075002 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.075002
67. S.P. Martin and D.G. Robertson, hep-ph/0501132. The numerical method used by this program and for generic masses is similar to the one proposed earlier in Ref. The program also uses analytical results in special cases, including those found in Refs.
68. O.V. Tarasov, Nucl. Phys. NUPBBO 0550-3213 B502, 455 (1997). 10.1016/S0550-3213(97)00376-3
69. R. Mertig and R. Scharf, Comput. Phys. Commun. 111, 265 (1998). CPHCBZ 0010-4655 10.1016/S0010-4655(98)00042-3
70. S.P. Martin, Phys. Rev. D 66, 096001 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.096001
71. S.P. Martin, Phys. Rev. D 71, 016012 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.016012
72. S.P. Martin and M.T. Vaughn, Phys. Lett. B PYLBAJ 0370-2693 318, 331 (1993). 10.1016/0370-2693(93)90136-6
73. Y. Yamada, Phys. Rev. D 50, 3537 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.3537
74. L. Lewin, Polylogarithms and Associated Functions (Elsevier North Holland, New York, 1981).
75. A lesser-known formula useful for numerical calculation of polylogarithms appeared later as Proposition 1 of H. Cohen, L. Lewin, and D. Zagier, Experiment. Math. 1, 25 (1992).
76. D.J. Broadhurst, Z. Phys. C 47, 115 (1990). ZPCFD2 0170-9739 10.1007/BF01551921
77. D.M. Pierce, J.A. Bagger, K.T. Matchev, and R.J. Zhang, Nucl. Phys. NUPBBO 0550-3213 B491, 3 (1997). 10.1016/S0550-3213(96)00683-9
78. D. Pierce and A. Papadopoulos, Phys. Rev. D 50, 565 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.50.565
79. D. Pierce A. Papadopoulos Nucl. Phys. NUPBBO 0550-3213 B430, 278 (1994). 10.1016/0550-3213(94)00303-3
80. G.A. Blair, W. Porod, and P.M. Zerwas, Phys. Rev. D 63, 017703 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.017703
81. B.C. Allanach, hep-ph/0403133.
82. F.E. Paige, S.D. Protopescu, H. Baer, and X. Tata, hep-ph/0312045.
83. B.C. Allanach, Comput. Phys. Commun. 143, 305 (2002). CPHCBZ 0010-4655 10.1016/S0010-4655(01)00460-X
84. A. Djouadi, J.L. Kneur, and G. Moultaka, hep-ph/0211331.
85. W. Porod, Comput. Phys. Commun. 153, 275 (2003). CPHCBZ 0010-4655 10.1016/S0010-4655(03)00222-4
86. I. Jack, D.R.T. Jones, and C.G. North, Nucl. Phys. NUPBBO 0550-3213 B473, 308 (1996); 10.1016/0550-3213(96)00269-6
87. I. Jack D.R.T. Jones C.G. North Nucl. Phys. NUPBBO 0550-3213 B486, 479 (1997), 10.1016/S0550-3213(96)00637-2
88. P.M. Ferreira, I. Jack, and D.R.T. Jones, Phys. Lett. B 387, 80 (1996); PYLBAJ 0370-2693 10.1016/0370-2693(96)01005-2
89. I. Jack, D.R.T. Jones, and A.F. Kord, Phys. Lett. B 579, 180 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2003.10.083
90. M. Caffo, H. Czyz, S. Laporta, and E. Remiddi, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 111, 365 (1998);
91. M. Caffo H. Czyz S. Laporta E. Remiddi Acta Phys. Pol. B APOBBB 0587-4254 29, 2627 (1998);
92. M. Caffo, H. Czyz, and E. Remiddi, Nucl. Phys. NUPBBO 0550-3213 B634, 309 (2002); 10.1016/S0550-3213(02)00315-2
93. M. Caffo H. Czyz E. Remiddi hep-ph/0211178;
94. M. Caffo, H. Czyz, A. Grzelinska, and E. Remiddi, Nucl. Phys. NUPBBO 0550-3213 B681, 230 (2004). 10.1016/j.nuclphysb.2004.01.019
95. J. van der Bij and M.J.G. Veltman, Nucl. Phys. NUPBBO 0550-3213 B231, 205 (1984). 10.1016/0550-3213(84)90284-0
96. C. Ford and D.R.T. Jones, Phys. Lett. B 274, 409 (1992); PYLBAJ 0370-2693 10.1016/0370-2693(92)92007-4
97. C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. NUPBBO 0550-3213 B387, 373 (1992). 10.1016/0550-3213(92)90165-8
98. R. Scharf and J.B. Tausk, Nucl. Phys. NUPBBO 0550-3213 B412, 523 (1994). 10.1016/0550-3213(94)90391-3
99. F.A. Berends and J.B. Tausk, Nucl. Phys. NUPBBO 0550-3213 B421, 456 (1994). 10.1016/0550-3213(94)90336-0
100. F.A. Berends, A.I. Davydychev, and N.I. Ussyukina, Phys. Lett. B 426, 95 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00166-X
101. J. Fleischer, A.V. Kotikov, and O.L. Veretin, Nucl. Phys. NUPBBO 0550-3213 B547, 343 (1999). 10.1016/S0550-3213(99)00078-4
102. A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59, 054023 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.054023
103. J. Fleischer, M.Y. Kalmykov, and A.V. Kotikov, Phys. Lett. B 462, 169 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)00892-8