The π+ - π0 mass difference and the S parameter in large Nf QCD

Progress of Theoretical Physics

Volumn 115, Issue 4, 2006, Pages 765-795

  Harada, Masayasu ^a   Kurachi, Masafumi ^b,c   Yamawaki, Koichi ^a  

^a NAGOYA UNIVERSITY   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

^c STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745752779     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.115.765     Document Type: Article

References (86)

1. M. Harada, M. Kurachi and K. Yamawaki, in Proc. of 2004 International Workshop on Dynamical Symmetry Breaking, Nagoya, Japan, 21-22 Dec 2004, ed. M. Harada and K. Yamawaki (Nagoya University, 2005), p. 125.
2. T. Banks and A. Zaks, Nucl. Phys. B 196 (1982), 189.
3. T. Appelquist, J. Terning and L. C. Wijewardhana, Phys. Rev. Lett. 77 (1996), 1214.
4. T. Appelquist, A. Ratnaweera, J. Terning and L. C. Wijewardhana, Phys. Rev. D 58 (1998), 105017.
5. V. A. Miransky and K. Yamawaki, Phys. Rev. D 55 (1997), 5051 [Errata; 56 (1997), 3768].
6. Y. Iwasaki, K. Kanaya, S. Sakai and T. Yoshie, Phys. Rev. Lett. 69 (1992), 21.
7. Y. Iwasaki, K. Kanaya, S. Kaya, S. Sakai and T. Yoshie, Nucl. Phys. B (Proc. Suppl.) 53 (1997), 449;
8. Prog. Theor. Phys. Suppl. No. 131 (1998), 415.
9. See also J. B. Kogut and D. K. Sinclair, Nucl. Phys. B 295 (1988), 465.
10. F. R. Brown, H. Chen, N. H. Christ, Z. Dong, R. D. Mawhinney, W. Schaffer and A. Vaccarino, Phys. Rev. D 46 (1992), 5655.
11. R. Oehme and W. Zimmermann, Phys. Rev. D 21 (1980), 471.
12. M. Velkovsky and E. Shuryak, Phys. Lett. B 437 (1998), 398.
13. M. Harada and K. Yamawaki, Phys. Rev. Lett. 83 (1999), 3374.
14. M. Harada and K. Yamawaki, Phys. Rev. Lett. 86 (2001), 757;
15. Phys. Rep. 381 (2003), 1.
16. H. Gies and J. Jaeckel, hep-ph/0507171.
17. S. Weinberg, Phys. Rev. D 13 (1976), 974;
18. Phys. Rev. D 19 (1979), 1277.
19. L. Susskind, Phys. Rev. D 20 (1979), 2619.
20. See for reviews, e.g., E. Farhi and L. Susskind, Phys. Rep. 74 (1981), 277.
21. C. T. Hill and E. H. Simmons, Phys. Rep. 381 (2003), 235 [Errata 390 (2004), 553], and references therein.
22. K. Yamawaki, M. Bando and K. Matumoto, Phys. Rev. Lett. 56 (1986), 1335.
23. T. Akiba and T. Yanagida, Phys. Lett. B 169 (1986), 432.
24. T. W. Appelquist, D. Karabali and L. C. R. Wijewardhana, Phys. Rev. Lett. 57 (1986), 957.
25. M. Bando, T. Morozumi, H. So and K. Yamawaki, Phys. Rev. Lett. 59 (1987), 389.
26. See also B. Holdom, Phys. Lett. B 150 (1985), 301.
27. F. N. Ndili, hep-ph/0508111.
28. V. A. Kuzmin, V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. B 155 (1985), 36.
29. A. G. Cohen, D. B. Kaplan and A. E. Nelson, Annu. Rev. Nucl. Part. Sci. 43 (1993), 27; hep-ph/9302210.
30. R. D. Pisarski and F. Wilczek, Phys. Rev. D 29 (1984), 338.
31. A. Martin and K. Lane, Phys. Rev. D 71 (2005), 015011; hep-ph/0404107.
32. R. S. Chivukula, Phys. Rev. D 55 (1997), 5238.
33. M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Phys. Rev. Lett. 54 (1985), 1215.
34. M. Bando, T. Kugo and K. Yamawaki, Nucl. Phys. B 259 (1985), 493;
35. Prog. Theor. Phys. 73 (1985), 1541;
36. Phys. Rep. 164 (1988), 217.
37. M. Harada, M. Kurachi and K. Yamawaki, Phys. Rev. D 68 (2003), 076001.
38. T. Kugo, in Proc. of 1991 Nagoya Spring School on Dynamical Symmetry Breaking, Nakatsugawa, Japan, Apr 23-27, 1991, ed. K. Yamawaki (World Scientific Pub. Co., 1992), p. 35.
39. M. Harada, M. Kurachi and K. Yamawaki, Phys. Rev. D 70 (2004), 033009.
40. N. Arkani-Hamed, A. G. Cohen and H. Georgi, Phys. Lett. B 513 (2001), 232.
41. N. Arkani-Hamed, A. G. Cohen, E. Katz, A. E. Nelson, T. Gregoire and J. G. Wacker, J. High Energy Phys. 08 (2002), 021.
42. N. Arkani-Hamed, A. G. Cohen, E. Katz and A. E. Nelson, J. High Energy Phys. 07 (2002), 034.
43. C. Csaki, C. Grojean, H. Murayama, L. Pilo and J. Terning, Phys. Rev. D 69 (2004), 055006.
44. C. Csaki, C. Grojean, L. Pilo and J. Terning, Phys. Rev. Lett. 92 (2004), 101802.
45. Y. Nomura, J. High Energy Phys. 11 (2003), 050.
46. R. Barbieri, A. Pomarol and R. Rattazzi, Phys. Lett. B 591 (2004), 141.
47. C. Csaki, C. Grojean, J. Hubisz, Y. Shirman and J. Terning, Phys. Rev. D 70 (2004), 015012.
48. H. Davoudiasl, J. L. Hewett, B. Lillie and T. G. Rizzo, Phys. Rev. D 70 (2004), 015006.
49. G. Burdman and Y. Nomura, Phys. Rev. D 69 (2004), 115013.
50. G. Cacciapaglia, C. Csaki, C. Grojean and J. Terning, Phys. Rev. D 70 (2004), 075014.
51. M. E. Peskin and T. Takeuchi, Phys. Rev. Lett. 65 (1990), 964;
52. Phys. Rev. D 46 (1992), 381.
53. B. Holdom and J. Terning, Phys. Lett. B 247 (1990), 88.
54. M. Golden and L. Randall, Nucl. Phys. B 361 (1991), 3.
55. R. Sundrum and S. D. H. Hsu, Nucl. Phys. B 391 (1993), 127.
56. T. Appelquist and G. Triantaphyllou, Phys. Lett. B 278 (1992), 345.
57. T. Appelquist and F. Sannino, Phys. Rev. D 59 (1999), 067702.
58. T. Takeuchi, in "Perspectives of Strong Coupling Gauge Theories", Proceedings of the International Workshop, Nagoya, Japan, 1996, ed. J. Nishimura and K. Yamawaki (World Scientific, Singapore, 1997), p. 150.
59. M. Harada, M. Tanabashi and K. Yamawaki, Phys. Lett. B 568 (2003), 103.
60. B. Holdom, Phys. Lett. B 198 (1987), 535.
61. M. Harada and Y. Yoshida, Phys. Rev. D 50 (1994), 6902.
62. E. Gardi and M. Karliner, Nucl. Phys. B 529 (1998), 383.
63. E. Gardi, G. Grunberg and M. Karliner, J. High Energy Phys. 07 (1998), 007.
64. R. M. Corless, G. H. Gonnet, D. G. E. Hare, D. J. Jeffrey and D. E. Knuth, Adv. Comput. Math. 5 (1996), 329.
65. V. A. Miransky, Sov. J. Nucl. Phys. 38 (1983), 280
66. [Yadern. Fiz. 38 (1983), 468].
67. K. Higashijima, Phys. Rev. D 29 (1984), 1228.
68. S. Weinberg, Phys. Rev. Lett. 18 (1967), 507.
69. S. Eidelman et al. (Particle Data Group Collaboration), Phys. Lett. B 592 (2004), 1; 2005 partial update for edition 2006, http://pdg.lbl.gov
70. T. Das, V. S. Mathur and S. Okubo, Phys. Rev. Lett. 19 (1967), 859.
71. K. Yamawaki, Phys. Lett. B 118 (1982), 145.
72. T. Das, G. S. Guralnik, V. S. Mathur, F. E. Low and J. E. Young, Phys. Rev. Lett. 18 (1967), 759.
73. M. E. Peskin, Nucl. Phys. B 175 (1980), 197.
74. J. Preskill, Nucl. Phys. B 177 (1981), 21.
75. T. Kugo and M. G. Mitchard, Phys. Lett. B 282 (1992), 162;
76. Phys. Lett. B 286 (1992), 355.
77. M. Bando, M. Harada and T. Kugo, Prog. Theor. Phys. 91 (1994), 927.
78. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147 (1979), 385;
79. Nucl. Phys. B 147 (1979), 448.
80. A. G. Cohen and H. Georgi, Nucl. Phys. B 314 (1989), 7.
81. D. D. Dietrich, F. Sannino and K. Tuominen, Phys. Rev. D 72 (2005), 055001; hep-ph/0505059.
82. N. D. Christensen and R. Shrock, hep-ph/0509109.
83. V. A. Miransky, Dynamical symmetry breaking in quantum field theories (World Scientific, Singapore, 1993).
84. H. Georgi, E. H. Simmons and A. G. Cohen, Phys. Lett. B 236 (1990), 183.
85. K.-I. Aoki, M. Bando, T. Kugo and M. G. Mitchard, Prog. Theor. Phys. 85 (1991), 355.
86. K.-I. Aoki, T. Kugo and M. G. Mitchard, Phys. Lett. B 266 (1991), 467.