Nielsen identities of the SM and the definition of mass

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 7, 2000, Pages 1-7

  Gambino, P ^a   Grassi, P A ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037218748     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.076002     Document Type: Article

References (75)

1. H. Kluberg-Stern and J. B. Zuber, Phys. Rev. D 12, 467 (1975); 12, 482 (1975).
2. H. Kluberg-Stern and J. B. Zuber, Phys. Rev. D 12, 467 (1975); 12, 482 (1975).
3. O. Piguet and K. Sibold, Nucl. Phys. B253, 517 (1985).
4. N. K. Nielsen, Nucl. Phys. B101, 173 (1975).
5. I. J. R. Aitchison and C. M. Fraser, Ann. Phys. (N.Y.) 156, 1 (1984); O. M. Del Cima, D. Franco, and O. Piguet, Nucl. Phys. B551, 813 (1999); O. M. Del Cima, Phys. Lett. B 457, 307 (1999); D. Johnston, Nucl. Phys. B253, 687 (1985); B283, 317 (1987); B293, 229 (1987).
6. I. J. R. Aitchison and C. M. Fraser, Ann. Phys. (N.Y.) 156, 1 (1984); O. M. Del Cima, D. Franco, and O. Piguet, Nucl. Phys. B551, 813 (1999); O. M. Del Cima, Phys. Lett. B 457, 307 (1999); D. Johnston, Nucl. Phys. B253, 687 (1985); B283, 317 (1987); B293, 229 (1987).
7. I. J. R. Aitchison and C. M. Fraser, Ann. Phys. (N.Y.) 156, 1 (1984); O. M. Del Cima, D. Franco, and O. Piguet, Nucl. Phys. B551, 813 (1999); O. M. Del Cima, Phys. Lett. B 457, 307 (1999); D. Johnston, Nucl. Phys. B253, 687 (1985); B283, 317 (1987); B293, 229 (1987).
8. I. J. R. Aitchison and C. M. Fraser, Ann. Phys. (N.Y.) 156, 1 (1984); O. M. Del Cima, D. Franco, and O. Piguet, Nucl. Phys. B551, 813 (1999); O. M. Del Cima, Phys. Lett. B 457, 307 (1999); D. Johnston, Nucl. Phys. B253, 687 (1985); B283, 317 (1987); B293, 229 (1987).
9. I. J. R. Aitchison and C. M. Fraser, Ann. Phys. (N.Y.) 156, 1 (1984); O. M. Del Cima, D. Franco, and O. Piguet, Nucl. Phys. B551, 813 (1999); O. M. Del Cima, Phys. Lett. B 457, 307 (1999); D. Johnston, Nucl. Phys. B253, 687 (1985); B283, 317 (1987); B293, 229 (1987).
10. I. J. R. Aitchison and C. M. Fraser, Ann. Phys. (N.Y.) 156, 1 (1984); O. M. Del Cima, D. Franco, and O. Piguet, Nucl. Phys. B551, 813 (1999); O. M. Del Cima, Phys. Lett. B 457, 307 (1999); D. Johnston, Nucl. Phys. B253, 687 (1985); B283, 317 (1987); B293, 229 (1987).
11. R. Kobes, G. Kunstatter, and A. Rebhan, Phys. Rev. Lett. 64, 2992 (1990); Nucl. Phys. B355, 1 (1991).
12. R. Kobes, G. Kunstatter, and A. Rebhan, Phys. Rev. Lett. 64, 2992 (1990); Nucl. Phys. B355, 1 (1991).
13. E. Kraus and K. Sibold, Z. Phys. C 68, 331 (1995); R. Haussling and E. Kraus, ibid. 75, 739 (1997).
14. E. Kraus and K. Sibold, Z. Phys. C 68, 331 (1995); R. Haussling and E. Kraus, ibid. 75, 739 (1997).
15. R. Haussling, E. Kraus, and K. Sibold, Nucl. Phys. B539, 691 (1999).
16. A. Sirlin, Phys. Rev. Lett. 67, 2127 (1991); Phys. Lett. B 267, 240 (1991); R. G. Stuart, ibid. 262, 113 (1991); Phys. Rev. Lett. 70, 3193 (1993).
17. A. Sirlin, Phys. Rev. Lett. 67, 2127 (1991); Phys. Lett. B 267, 240 (1991); R. G. Stuart, ibid. 262, 113 (1991); Phys. Rev. Lett. 70, 3193 (1993).
18. A. Sirlin, Phys. Rev. Lett. 67, 2127 (1991); Phys. Lett. B 267, 240 (1991); R. G. Stuart, ibid. 262, 113 (1991); Phys. Rev. Lett. 70, 3193 (1993).
19. A. Sirlin, Phys. Rev. Lett. 67, 2127 (1991); Phys. Lett. B 267, 240 (1991); R. G. Stuart, ibid. 262, 113 (1991); Phys. Rev. Lett. 70, 3193 (1993).
20. H. Veltman, Z. Phys. C 62, 35 (1994).
21. M. Passera and A. Sirlin, Phys. Rev. D 58, 113010 (1998).
22. A. S. Kronfeld, Phys. Rev. D 58, 051501 (1998).
23. M. Veltman, Physica (Amsterdam) 29, 186 (1963).
24. G. Degrassi and A. Sirlin, Nucl. Phys. B383, 73 (1992).
25. E. Kraus, Ann. Phys. (N.Y.) 262, 155 (1998).
26. P. Gambino, P. A. Grassi, and F. Madricardo, Phys. Lett. B 454, 98 (1999).
27. P. A. Grassi, Nucl. Phys. B560, 499 (1999).
28. G. 't Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972); P. Breitenlohner and D. Maison, Commun. Math. Phys. 52, 11 (1977); 52, 39 (1977); 52, 55 (1977).
29. G. 't Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972); P. Breitenlohner and D. Maison, Commun. Math. Phys. 52, 11 (1977); 52, 39 (1977); 52, 55 (1977).
30. G. 't Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972); P. Breitenlohner and D. Maison, Commun. Math. Phys. 52, 11 (1977); 52, 39 (1977); 52, 55 (1977).
31. G. 't Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972); P. Breitenlohner and D. Maison, Commun. Math. Phys. 52, 11 (1977); 52, 39 (1977); 52, 55 (1977).
32. See, e.g., O. Piguet and S. Sorella, Algebraic Renormalization (Springer-Verlag, Berlin, 1995).
33. P. A. Grassi, T. Hurth, and M. Steinhauser, hep-ph/9907426.
34. G. Bandelloni, A. Blasi, C. Becchi, and R. Collina, Ann. Inst. Henri Poincare, Sect. A 28, 3 (1978); 28, 225 (1978); 28, 285 (1978).
35. G. Bandelloni, A. Blasi, C. Becchi, and R. Collina, Ann. Inst. Henri Poincare, Sect. A 28, 3 (1978); 28, 225 (1978); 28, 285 (1978).
36. G. Bandelloni, A. Blasi, C. Becchi, and R. Collina, Ann. Inst. Henri Poincare, Sect. A 28, 3 (1978); 28, 225 (1978); 28, 285 (1978).
37. P. Breitenlohner and D. Maison, MPI-PAE/PTh-26/75.
38. J. H. Lowenstein and B. Schroer, Phys. Rev. D 6, 1553 (1972).
39. G. Degrassi, S. Fanchiotti, and A. Sirlin, Nucl. Phys. B351, 49 (1991); G. Degrassi, P. Gambino, and A. Sirlin, Phys. Lett. B 394, 188 (1997).
40. G. Degrassi, S. Fanchiotti, and A. Sirlin, Nucl. Phys. B351, 49 (1991); G. Degrassi, P. Gambino, and A. Sirlin, Phys. Lett. B 394, 188 (1997).
41. D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973).
42. C. Becchi, A. Rouet, and R. Stora, Commun. Math. Phys. 42, 127 (1975); Ann. Phys. (N.Y.) 98, 287 (1976).
43. C. Becchi, A. Rouet, and R. Stora, Commun. Math. Phys. 42, 127 (1975); Ann. Phys. (N.Y.) 98, 287 (1976).
44. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
45. C. Becchi, lectures given at Triangle Graduate School, Prague, 1996, hep-ph/9705211.
46. J. C. Taylor, Gauge Theories of Weak Interactions (Cambridge University Press, Cambridge, England, 1976).
47. See, e.g., J. Gunion, H. Haber, G. Kane, and S. Dawson, The Higgs Hunter's Guide (Addison-Wesley, Redwood City, CA, 1990).
48. A. Pilaftsis and C. Wagner, Nucl. Phys. B553, 3 (1999).
49. A. Sirlin, Phys. Rev. D 22, 971 (1980).
50. K. Aoki et al., Suppl. Prog. Theor. Phys. 73, 1 (1982).
51. W. Hollik, in Precision Tests of the SM, edited by P. Langacker (World Scientific, Singapore, 1994); M. Böhm, W. Hollik, and H. Spiesberger, Fortschr. Phys. 34, 687 (1986).
52. W. Hollik, in Precision Tests of the SM, edited by P. Langacker (World Scientific, Singapore, 1994); M. Böhm, W. Hollik, and H. Spiesberger, Fortschr. Phys. 34, 687 (1986).
53. A. Djouadi and P. Gambino, Phys. Rev. D 49, 3499 (1994); K. G. Chetyrkin, J. H. Kühn, and M. Steinhauser, Phys. Lett. B 351, 331 (1995).
54. A. Djouadi and P. Gambino, Phys. Rev. D 49, 3499 (1994); K. G. Chetyrkin, J. H. Kühn, and M. Steinhauser, Phys. Lett. B 351, 331 (1995).
55. R. Barbieri et al., Nucl. Phys. B409, 105 (1993).
56. R. Tarrach, Nucl. Phys. B183, 384 (1981); N. Gray et al., Z. Phys. C 48, 673 (1990).
57. R. Tarrach, Nucl. Phys. B183, 384 (1981); N. Gray et al., Z. Phys. C 48, 673 (1990).
58. J. C. Breckenridge, M. J. Lavelle, and T. G. Steele, Z. Phys. C 65, 155 (1995); D. Johnston, Report No. LPTHE Orsay 86/49, 1986 (unpublished).
59. J. C. Breckenridge, M. J. Lavelle, and T. G. Steele, Z. Phys. C 65, 155 (1995); D. Johnston, Report No. LPTHE Orsay 86/49, 1986 (unpublished).
60. B. A. Kniehl and A. Sirlin, Phys. Rev. Lett. 81, 1373 (1998).
61. J. F. Donoghue, Phys. Rev. D 19, 2772 (1979).
62. L. S. Brown, Quantum Field Theory (Cambridge University Press, Cambridge, UK, 1992).
63. J. Fleischer et al., Nucl. Phys. B539, 671 (1999).
64. J. M. Cornwall, Phys. Rev. D 26, 1453 (1982); J. M. Cornwall and J. Papavassiliou, ibid. 40, 3474 (1989); G. Degrassi and A. Sirlin, ibid. 46, 3104 (1992); J. Papavassiliou and A. Pilaftsis, ibid. 54, 5315 (1996).
65. J. M. Cornwall, Phys. Rev. D 26, 1453 (1982); J. M. Cornwall and J. Papavassiliou, ibid. 40, 3474 (1989); G. Degrassi and A. Sirlin, ibid. 46, 3104 (1992); J. Papavassiliou and A. Pilaftsis, ibid. 54, 5315 (1996).
66. J. M. Cornwall, Phys. Rev. D 26, 1453 (1982); J. M. Cornwall and J. Papavassiliou, ibid. 40, 3474 (1989); G. Degrassi and A. Sirlin, ibid. 46, 3104 (1992); J. Papavassiliou and A. Pilaftsis, ibid. 54, 5315 (1996).
67. J. M. Cornwall, Phys. Rev. D 26, 1453 (1982); J. M. Cornwall and J. Papavassiliou, ibid. 40, 3474 (1989); G. Degrassi and A. Sirlin, ibid. 46, 3104 (1992); J. Papavassiliou and A. Pilaftsis, ibid. 54, 5315 (1996).
68. Y. M. P. Lam, Phys. Rev. D 6, 2145 (1972); 7, 2943 (1973); W. Zimmermann, Commun. Math. Phys. 39, 81 (1974); J. H. Lowenstein, ibid. 24, 1 (1971); J. H. Lowenstein and B. Schroer, Phys. Rev. D 7, 1929 (1973).
69. Y. M. P. Lam, Phys. Rev. D 6, 2145 (1972); 7, 2943 (1973); W. Zimmermann, Commun. Math. Phys. 39, 81 (1974); J. H. Lowenstein, ibid. 24, 1 (1971); J. H. Lowenstein and B. Schroer, Phys. Rev. D 7, 1929 (1973).
70. Y. M. P. Lam, Phys. Rev. D 6, 2145 (1972); 7, 2943 (1973); W. Zimmermann, Commun. Math. Phys. 39, 81 (1974); J. H. Lowenstein, ibid. 24, 1 (1971); J. H. Lowenstein and B. Schroer, Phys. Rev. D 7, 1929 (1973).
71. Y. M. P. Lam, Phys. Rev. D 6, 2145 (1972); 7, 2943 (1973); W. Zimmermann, Commun. Math. Phys. 39, 81 (1974); J. H. Lowenstein, ibid. 24, 1 (1971); J. H. Lowenstein and B. Schroer, Phys. Rev. D 7, 1929 (1973).
72. Y. M. P. Lam, Phys. Rev. D 6, 2145 (1972); 7, 2943 (1973); W. Zimmermann, Commun. Math. Phys. 39, 81 (1974); J. H. Lowenstein, ibid. 24, 1 (1971); J. H. Lowenstein and B. Schroer, Phys. Rev. D 7, 1929 (1973).
73. A. Denner and T. Sack, Z. Phys. C 46, 653 (1990).
74. F. Madricardo, undergraduate thesis, University of Padova, Luglio, 1999.
75. R. Hempfling and B. Kniehl, Phys. Rev. D 51, 1386 (1995).