Proton stability and small neutrino mass in string inspired E6 models

Progress of Theoretical Physics

Volumn 96, Issue 3, 1996, Pages 611-622

  Suematsu, Daijiro ^a,b  

^a KANAZAWA UNIVERSITY   (Japan)

^b CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030509454     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.96.611     Document Type: Article

References (56)

1. For a review, see for example, H. -P. Nilles, Phys. Rep. C110 (1984), 1.
2. J. Ellis, S. Kelley and D. V. Nanopoulos, Phys. Lett. B260 (1991), 131. P. Langacker and M. Luo, Phys. Rev. D44 (1991), 817. V. Amaldi, W. de Boer and H. Furstenau, Phys. Lett. B260 (1991), 447.
3. J. Ellis, S. Kelley and D. V. Nanopoulos, Phys. Lett. B260 (1991), 131. P. Langacker and M. Luo, Phys. Rev. D44 (1991), 817. V. Amaldi, W. de Boer and H. Furstenau, Phys. Lett. B260 (1991), 447.
4. J. Ellis, S. Kelley and D. V. Nanopoulos, Phys. Lett. B260 (1991), 131. P. Langacker and M. Luo, Phys. Rev. D44 (1991), 817. V. Amaldi, W. de Boer and H. Furstenau, Phys. Lett. B260 (1991), 447.
5. A. Masiero, D. V. Nanopoulos, K. Tamvakis and T. Yanagida, Phys. Lett. B115 (1982), 380.
6. E. Witten, Nucl. Phys. B258 (1985), 75.
7. M. Dine, V. Kaplunovsky, M. Mongano, C. Nappi and N. Seiberg, Nucl. Phys. B254 (1985), 549.
8. T. Matsuoka and D. Suematsu, Nucl. Phys. B274 (1986), 106; Prog. Theor. Phys. 76 (1986), 886.
9. T. Matsuoka and D. Suematsu, Nucl. Phys. B274 (1986), 106; Prog. Theor. Phys. 76 (1986), 886.
10. D. Suematsu and Y. Yamagishi, Int. J. Mod. Phys. A10 (1995), 4521.
11. B. A. Campbell, J. Ellis, K. Equvist, M. K. Gaillard and D. V. Nanopoulos, Int. J. Mod. Phys. A2 (1987), 831.
12. A. Masiero, D. V. Nanopoulos and A. I. Sanda, Phys. Rev. Lett. 57 (1986), 663.
13. E. Nardi, Phys. Rev. D48 (1993), 3277.
14. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
15. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
16. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
17. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
18. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
19. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
20. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
21. R. Davis, Jr. et al., in Proc. of the 21st International Cosmic Ray Conference, Adelaide, Australia, 1989, ed. R. J. Protheroe (University of Adelaide Press, Adelaide, 1990), Vol. 12, p. 143. R. Davis, Prog. Part. Nucl. Phys. 32 (1994), in press. K. S. Hirata et al., Phys. Rev. Lett. 65 (1990), 1297; Phys. Rev. Lett. 66 (1990), 9. GALLEX collab., Phys. Lett. B285 (1992), 376; Phys. Lett. B285 (1992), 390. SAGE collab., Phys. Rev. Lett. 67 (1991), 3332; Phys. Lett. B328 (1994), 234.
22. K. S. Hirata et al., Phys. Lett. B205 (1988), 416; Phys. Lett. B280 (1992), 146. Y. Fukuda et al., Phys. Lett. B335 (1994), 237. D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561. R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720. P. J. Litchfield, in International Europhysics Conference on High Energy Physics, Marseille, France, 1993.
23. K. S. Hirata et al., Phys. Lett. B205 (1988), 416; Phys. Lett. B280 (1992), 146. Y. Fukuda et al., Phys. Lett. B335 (1994), 237. D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561. R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720. P. J. Litchfield, in International Europhysics Conference on High Energy Physics, Marseille, France, 1993.
24. K. S. Hirata et al., Phys. Lett. B205 (1988), 416; Phys. Lett. B280 (1992), 146. Y. Fukuda et al., Phys. Lett. B335 (1994), 237. D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561. R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720. P. J. Litchfield, in International Europhysics Conference on High Energy Physics, Marseille, France, 1993.
25. K. S. Hirata et al., Phys. Lett. B205 (1988), 416; Phys. Lett. B280 (1992), 146. Y. Fukuda et al., Phys. Lett. B335 (1994), 237. D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561. R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720. P. J. Litchfield, in International Europhysics Conference on High Energy Physics, Marseille, France, 1993.
26. K. S. Hirata et al., Phys. Lett. B205 (1988), 416; Phys. Lett. B280 (1992), 146. Y. Fukuda et al., Phys. Lett. B335 (1994), 237. D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561. R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720. P. J. Litchfield, in International Europhysics Conference on High Energy Physics, Marseille, France, 1993.
27. K. S. Hirata et al., Phys. Lett. B205 (1988), 416; Phys. Lett. B280 (1992), 146. Y. Fukuda et al., Phys. Lett. B335 (1994), 237. D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561. R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720. P. J. Litchfield, in International Europhysics Conference on High Energy Physics, Marseille, France, 1993.
28. E. L. Wright et al., Astrophys. J. 396 (1992), L13. M. Davis, F. J. Summers and D. Schlegal, Nature 359 (1992), 393. A. N. Taylor and M. Rowan-Robinson, Nature 359 (1992), 396. R. K. Schaefer and Q. Shafi, Preprint BA-92-28, 1992. J. A. Holtzman and J. R. Primack, Astrophys. J. 405 (1993), 428.
29. E. L. Wright et al., Astrophys. J. 396 (1992), L13. M. Davis, F. J. Summers and D. Schlegal, Nature 359 (1992), 393. A. N. Taylor and M. Rowan-Robinson, Nature 359 (1992), 396. R. K. Schaefer and Q. Shafi, Preprint BA-92-28, 1992. J. A. Holtzman and J. R. Primack, Astrophys. J. 405 (1993), 428.
30. E. L. Wright et al., Astrophys. J. 396 (1992), L13. M. Davis, F. J. Summers and D. Schlegal, Nature 359 (1992), 393. A. N. Taylor and M. Rowan-Robinson, Nature 359 (1992), 396. R. K. Schaefer and Q. Shafi, Preprint BA-92-28, 1992. J. A. Holtzman and J. R. Primack, Astrophys. J. 405 (1993), 428.
31. E. L. Wright et al., Astrophys. J. 396 (1992), L13. M. Davis, F. J. Summers and D. Schlegal, Nature 359 (1992), 393. A. N. Taylor and M. Rowan-Robinson, Nature 359 (1992), 396. R. K. Schaefer and Q. Shafi, Preprint BA-92-28, 1992. J. A. Holtzman and J. R. Primack, Astrophys. J. 405 (1993), 428.
32. E. L. Wright et al., Astrophys. J. 396 (1992), L13. M. Davis, F. J. Summers and D. Schlegal, Nature 359 (1992), 393. A. N. Taylor and M. Rowan-Robinson, Nature 359 (1992), 396. R. K. Schaefer and Q. Shafi, Preprint BA-92-28, 1992. J. A. Holtzman and J. R. Primack, Astrophys. J. 405 (1993), 428.
33. T. Banks, D. B. Kaplan and A. E. Nelson, Phys. Rev. D49 (1994), 779. B. de Carlos, J. A. Casas, F. Quevedo and E. Roulet, Phys. Lett. B318 (1993), 447. L. Randall and S. Thomas, Nucl. Phys. B449 (1995), 229.
34. T. Banks, D. B. Kaplan and A. E. Nelson, Phys. Rev. D49 (1994), 779. B. de Carlos, J. A. Casas, F. Quevedo and E. Roulet, Phys. Lett. B318 (1993), 447. L. Randall and S. Thomas, Nucl. Phys. B449 (1995), 229.
35. T. Banks, D. B. Kaplan and A. E. Nelson, Phys. Rev. D49 (1994), 779. B. de Carlos, J. A. Casas, F. Quevedo and E. Roulet, Phys. Lett. B318 (1993), 447. L. Randall and S. Thomas, Nucl. Phys. B449 (1995), 229.
36. M. Gell-Mann, P. Ramond and S. Slansky, in Supergravity, ed. P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979), p. 315. T. Yanagida, in Proc. Workshop on Unified Theory and Baryon Number in the Universe, ed. O. Sawada and A. Sugamoto (KEK, Tsukuba, Japan, 1979).
37. M. Gell-Mann, P. Ramond and S. Slansky, in Supergravity, ed. P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979), p. 315. T. Yanagida, in Proc. Workshop on Unified Theory and Baryon Number in the Universe, ed. O. Sawada and A. Sugamoto (KEK, Tsukuba, Japan, 1979).
38. R. Arnowitt and P. Nath, Phys. Rev. Lett. 69 (1992), 725. P. Nath and R. Arnowitt, Phys. Lett. B287 (1992), 89. J. L. Lopez, D. V. Nanopoulos and H. Pois, Phys. Rev. D47 (1993), 46. J. L. Lopez, D. V. Nanopoulos, H. Pois and A. Zichichi, Phys. Lett. B299 (1993), 262. J. Hisano, H. Murayama and T. Yanagida, Nucl. Phys. 402 (1993), 46. R. Arnowitt and P. Nath, Phys. Rev. D49 (1994), 1479.
39. R. Arnowitt and P. Nath, Phys. Rev. Lett. 69 (1992), 725. P. Nath and R. Arnowitt, Phys. Lett. B287 (1992), 89. J. L. Lopez, D. V. Nanopoulos and H. Pois, Phys. Rev. D47 (1993), 46. J. L. Lopez, D. V. Nanopoulos, H. Pois and A. Zichichi, Phys. Lett. B299 (1993), 262. J. Hisano, H. Murayama and T. Yanagida, Nucl. Phys. 402 (1993), 46. R. Arnowitt and P. Nath, Phys. Rev. D49 (1994), 1479.
40. R. Arnowitt and P. Nath, Phys. Rev. Lett. 69 (1992), 725. P. Nath and R. Arnowitt, Phys. Lett. B287 (1992), 89. J. L. Lopez, D. V. Nanopoulos and H. Pois, Phys. Rev. D47 (1993), 46. J. L. Lopez, D. V. Nanopoulos, H. Pois and A. Zichichi, Phys. Lett. B299 (1993), 262. J. Hisano, H. Murayama and T. Yanagida, Nucl. Phys. 402 (1993), 46. R. Arnowitt and P. Nath, Phys. Rev. D49 (1994), 1479.
41. R. Arnowitt and P. Nath, Phys. Rev. Lett. 69 (1992), 725. P. Nath and R. Arnowitt, Phys. Lett. B287 (1992), 89. J. L. Lopez, D. V. Nanopoulos and H. Pois, Phys. Rev. D47 (1993), 46. J. L. Lopez, D. V. Nanopoulos, H. Pois and A. Zichichi, Phys. Lett. B299 (1993), 262. J. Hisano, H. Murayama and T. Yanagida, Nucl. Phys. 402 (1993), 46. R. Arnowitt and P. Nath, Phys. Rev. D49 (1994), 1479.
42. R. Arnowitt and P. Nath, Phys. Rev. Lett. 69 (1992), 725. P. Nath and R. Arnowitt, Phys. Lett. B287 (1992), 89. J. L. Lopez, D. V. Nanopoulos and H. Pois, Phys. Rev. D47 (1993), 46. J. L. Lopez, D. V. Nanopoulos, H. Pois and A. Zichichi, Phys. Lett. B299 (1993), 262. J. Hisano, H. Murayama and T. Yanagida, Nucl. Phys. 402 (1993), 46. R. Arnowitt and P. Nath, Phys. Rev. D49 (1994), 1479.
43. R. Arnowitt and P. Nath, Phys. Rev. Lett. 69 (1992), 725. P. Nath and R. Arnowitt, Phys. Lett. B287 (1992), 89. J. L. Lopez, D. V. Nanopoulos and H. Pois, Phys. Rev. D47 (1993), 46. J. L. Lopez, D. V. Nanopoulos, H. Pois and A. Zichichi, Phys. Lett. B299 (1993), 262. J. Hisano, H. Murayama and T. Yanagida, Nucl. Phys. 402 (1993), 46. R. Arnowitt and P. Nath, Phys. Rev. D49 (1994), 1479.
44. N. Haba, C. Hattori, M. Matsuda, T. Matsuoka and D. Mochinaga, Prog. Theor. Phys. 92 (1994), 153.
45. E. Witten, Nucl. Phys. B268 (1986), 79. M. Cvetic, Phys. Rev. D37 (1988), 2366.
46. E. Witten, Nucl. Phys. B268 (1986), 79. M. Cvetic, Phys. Rev. D37 (1988), 2366.
47. D. Suematsu, Preprint KANAZAWA-96-04 (hep-ph/9604242).
48. V. S. Kaplunovsky and J. Louis, Phys. Lett. B306 (1993), 269. A. Brignole, L. E. Ibáñez and C. Muñoz, Nucl. Phys. B422 (1994), 125.
49. V. S. Kaplunovsky and J. Louis, Phys. Lett. B306 (1993), 269. A. Brignole, L. E. Ibáñez and C. Muñoz, Nucl. Phys. B422 (1994), 125.
50. J. Polchinski and L. Susskind, Phys. Rev. D26 (1982), 3361. H. P. Nilles, M. Srednicki and D. Wyler, Phys. Lett. 124B (1983), 337. A. B. Lahanas, Phys. Lett. 124B (1983), 341. L. Alvarez-Gaume, J. Polchinski and M. B. Wise, Nucl. Phys. B221 (1983), 495.
51. J. Polchinski and L. Susskind, Phys. Rev. D26 (1982), 3361. H. P. Nilles, M. Srednicki and D. Wyler, Phys. Lett. 124B (1983), 337. A. B. Lahanas, Phys. Lett. 124B (1983), 341. L. Alvarez-Gaume, J. Polchinski and M. B. Wise, Nucl. Phys. B221 (1983), 495.
52. J. Polchinski and L. Susskind, Phys. Rev. D26 (1982), 3361. H. P. Nilles, M. Srednicki and D. Wyler, Phys. Lett. 124B (1983), 337. A. B. Lahanas, Phys. Lett. 124B (1983), 341. L. Alvarez-Gaume, J. Polchinski and M. B. Wise, Nucl. Phys. B221 (1983), 495.
53. J. Polchinski and L. Susskind, Phys. Rev. D26 (1982), 3361. H. P. Nilles, M. Srednicki and D. Wyler, Phys. Lett. 124B (1983), 337. A. B. Lahanas, Phys. Lett. 124B (1983), 341. L. Alvarez-Gaume, J. Polchinski and M. B. Wise, Nucl. Phys. B221 (1983), 495.
54. T. P. Walker, G. Steigman, D. N. Schramm, K. A. Olive and H. -S. Kong, Astrophys. J. 376 (1991), 51 and references therein.
55. L. Ibáñez and G. G. Ross, Phys. Lett. B332 (1994), 100.
56. D. Suematsu and Y. Yamagishi, Mod. Phys. Lett. A10 (1995), 2923.