Skip to main content
Log in

S 3 flavor symmetry and leptogenesis

  • Theoretical Physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

We consider leptogenesis in a minimal S 3 extension of the standard model with an additional Z 2 symmetry in the leptonic sector. It is found that the CP phase appearing in the mass matrix of the left-handed neutrinos is the same as that for the CP asymmetries responsible for leptogenesis. Because of the discrete S 3 x Z 2 flavor symmetries, the CP asymmetries are strongly suppressed. To obtain a realistic size of the baryon number asymmetry in the universe, we therefore have to assume that resonant enhancement of the CP asymmetries takes place, and that three degenerate right-handed neutrino masses of O(10) TeV are present.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E.W. Kolb, M.S. Turner, The early universe (Addison-Wesley 1990) (Frontiers in physics, 69)

  2. M. Fukugita, T. Yanagida, Phys. Lett. B 174, 45 (1986)

    Article  ADS  Google Scholar 

  3. N.S. Manton, Phys. Rev. D 28, 2019 (1983); F.R. Klinkhammer N.S. Manton, Phys. Rev. D 30, 2212 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  4. V.A. Kuzmin, V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 155, 36 (1985)

    Article  ADS  Google Scholar 

  5. S.Yu. Khlebnikov, M.E. Shaposhnikov, Nucl. Phys. B 308, 885 (1988); J.A. Harvey, M.S. Turner, Phys. Rev. D 42, 3344 (1990)

    Article  ADS  Google Scholar 

  6. P. Arnold, L.D. McLerran, Phys. Rev. D 36, 581 (1987); D 37, 1020 (1988)

    Article  ADS  Google Scholar 

  7. A. Bochkarev, M.E. Shaposhnikov, Mod. Phys. Lett. A 2, 417 (1987); S.Yu. Khlebnikov M.E. Shaposhnikov, Nucl. Phys. B 308, 885 (1988); E. Motta, A. Wipf, Phys. Lett. B 263, 86 (1991)

    Article  ADS  Google Scholar 

  8. Y. Fukuda et al. , Phys. Rev. Lett. 81, 1562 (1998)

    Article  ADS  Google Scholar 

  9. K. Eguchi et al. , Phys. Rev. Lett. 90, 021802 (2003)

    Article  ADS  Google Scholar 

  10. M.H. Ahn et al. , Phys. Rev. Lett. 90, 041801 (2003)

    Article  ADS  Google Scholar 

  11. S.N. Ahmed et al. , Phys. Rev. Lett. 92, 181301 (2004)

    Article  ADS  Google Scholar 

  12. P. Minkowski, Phys. Lett. B 67, 421 (1977); T. Yanagida, in Proceedings of the Workshop on the Unified Theory and Baryon Number in the universe, edited by O. Sawada, A. Sugamoto (KEK report 79-18, 1979); M. Gell-Mann, P. Ramond, R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen, d.Z. 'Freedman (North Holland, Amsterdam 1979); R.N. Mohapatra, G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980)

    Article  ADS  Google Scholar 

  13. D.N. Spergel et al. , Astrophys. J. Suppl. 148, 175 (2003)

    Article  Google Scholar 

  14. M.A. Luty, Phys. Rev. D 45, 455 (1992)

    Article  ADS  Google Scholar 

  15. A. Acker, H. Kikuchi, E. Ma, Phys. Rev. D 48, 5006 (1993)

    Article  ADS  Google Scholar 

  16. H. Murayama, T. Yanagida, Phys. Lett. B 322, 349 (1994)

    Article  ADS  Google Scholar 

  17. M. Flanz, E.A. Paschos, U. Sarker, Phys. Lett. B 345, 248 (1995) [Erratum B 382, 447 (1996)]

    Article  ADS  Google Scholar 

  18. M. Flanz, E.A. Paschos, U. Sarker, J. Weiss, Phys. Lett. B 389, 693 (1996)

    Article  ADS  Google Scholar 

  19. L. Covi, E. Roulet, F. Vissani, Phys. Lett. B 384, 169 (1996)

    Article  ADS  Google Scholar 

  20. W. Buchmüller, M. Plümacher, Phys. Lett. B 389, 73 (1996); Phys. Lett. B 431, 354 (1998); Int. J. Mod. Phys. A 15, 5047 (2000)

    Article  ADS  Google Scholar 

  21. M. Plümacher, Z. Phys. C 74, 549 (1997)

    Article  Google Scholar 

  22. A. Pilaftsis, Phys. Rev. D 56, 5431 (1997); Int. J. Mod. Phys. A 14, 1811 (1999)

    Article  ADS  Google Scholar 

  23. M. Flanz, E.A. Paschos, Phys. Rev. D 58, 113009 (1998)

    Article  ADS  Google Scholar 

  24. E.Kh. Akhmedov, V.A. Rubakov, A.Yu. Smirnov, Phys. Lett. 81, 1359 (1998)

    Article  MathSciNet  Google Scholar 

  25. E. Ma, U. Sarkar, Phys. Rev. Lett. 80, 5716 (1998)

    Article  ADS  Google Scholar 

  26. J. Ellis, S. Lola, D.V. Nanopoulos, Phys. Lett. B 452, 87 (1999)

    Article  ADS  Google Scholar 

  27. G. Lazarides, N. Vlachos, Phys. Lett. B 459, 482 (1999)

    Article  ADS  Google Scholar 

  28. M.S. Berger, B. Brahmachari, Phys. Rev. D 60, 073009 (1999)

    Article  ADS  Google Scholar 

  29. K. Kang, S.K. Kang, U. Sarkar, Phys. Lett. B 486, 391 (2000)

    Article  ADS  Google Scholar 

  30. H. Goldberg, Phys. Lett. B 474, 389 (2000)

    Article  ADS  Google Scholar 

  31. A.S. Joshipura, E.A. Paschos, W. Rodejohann, Nucl. Phys. B 611, 227 (2001); JHEP 0108, 29 (2001)

    Article  ADS  Google Scholar 

  32. M. Hirsch, S.F. King, Phys. Rev. D 64, 113005 (2001)

    Article  ADS  Google Scholar 

  33. D. Falcone, F. Tramontano, Phys. Lett. B 506, 1 (2001); F. Buccella, D. Falcone, F. Tramontano, Phys. Lett. B 524, 241 (2002)

    Article  ADS  Google Scholar 

  34. H.B. Nielsen, Y. Takanishi, Phys. Lett. B 507, 241 (2001)

    Article  ADS  Google Scholar 

  35. W. Buchmüller, D. Wyler, Phys. Lett. B 521, 291 (2001)

    Article  ADS  Google Scholar 

  36. C. Branco, T. Morozumi, B.M. Nobre, M.N. Rebelo, Nucl. Phys. B 617, 475 (2001); G.C. Branco, R. Felipe, F.R. Joaquim, M.N. Rebelo, Nucl. Phys. B 640, 202 (2002)

    Article  ADS  Google Scholar 

  37. J.A. Casas, A. Ibarra, Nucl. Phys. B 618, 171 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  38. T. Endoh, S. Kaneko, S.K. Kang, T. Morozumi, M. Tanimoto, Phys. Rev. Lett. 89, 231601 (2002); Phys. Lett. B 551, 127 (2003)

    Article  ADS  Google Scholar 

  39. W. Rodejohann, Phys. Lett. B 542, 100 (2002); K.R. Balaji, W. Rodejohann, Phys. Rev. D 65, 093009 (2002)

    Article  ADS  Google Scholar 

  40. M.N. Rebelo, Phys. Rev. D 67, 013008 (2003)

    Article  ADS  Google Scholar 

  41. S. Davidson, A. Ibarra, Nucl. Phys. B 648, 345 (2003)

    Article  ADS  Google Scholar 

  42. P.H. Frampton, S.L. Glashow, T. Yanagida, Phys. Lett. B 548, 119 (2002)

    Article  ADS  Google Scholar 

  43. Z. Xing, Phys. Lett. B 545, 352 (2002); W. Guo, Z. Xing, Phys. Lett. B 583, 163 (2004)

    Article  ADS  Google Scholar 

  44. S. Kaneko, M. Katsumata, M. Tanimoto, JHEP 0307, 025 (2003)

    Article  ADS  Google Scholar 

  45. W. Grimus, L. Lavoura, J. Phys. G 30, 1073 (2004)

    Article  ADS  Google Scholar 

  46. Mu-Chun Chen, K.T. Mahanthappa, Phys. Rev. D 71, 035001 (2005)

    Article  ADS  Google Scholar 

  47. T. Hambye, E. Ma, M. Raidal, Phys. Lett. B 512, 373 (2001)

    Article  ADS  Google Scholar 

  48. M. Fujii, K. Hamaguchi, T. Yanagida, Phys. Rev. D 65, 115012 (2002)

    Article  ADS  Google Scholar 

  49. S. Nasri, M. Trodden, hep-ph/0107215

  50. T. Hambye, Nucl. Phys. B 633, 171 (2002)

    Article  ADS  Google Scholar 

  51. J. Ellis, M. Raidal, T. Yanagida, Phys. Lett. B 546, 228 (2002)

    Article  ADS  Google Scholar 

  52. S. Dar, S. Huber, V.N. Senoguz, Q. Shafi, Phys. Rev. D 69, 077701 (2004)

    Article  ADS  Google Scholar 

  53. R.G. Felipe, F.R. Joaquim, B.M. Nobre, Phys. Rev. D 70, 085009 (2004)

    Article  ADS  Google Scholar 

  54. T. Hambye, J. March-Russell, S.M. West, JHEP 0407, 070 (2004)

    Article  ADS  Google Scholar 

  55. C.H. Albright, S.M. Barr, Phys. Rev. D 70, 033013 (2004)

    Article  ADS  Google Scholar 

  56. M. Bando, S. Kaneko, M. Obara, M. Tanimoto, hep-ph/0405071

  57. S.M. West, Phys. Rev. D 71, 013004 (2005)

    Article  ADS  Google Scholar 

  58. A. Pilaftsis, T.J. Underwood, Nucl. Phys. B 692, 303 (2004)

    Article  ADS  MATH  Google Scholar 

  59. S. Pakvasa, H. Sugawara, Phys. Lett. B 73, 61 (1978); B 82, 105 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  60. H. Harari, H. Haut, T. Weyers, Phys. Lett. B 78, 459 (1978)

    Article  ADS  Google Scholar 

  61. E. Derman, Phys. Rev. D 19, 317 (1979); E. Derman, H.-S. Tsao, Phys. Rev. D 20, 1207 (1979)

    Article  ADS  Google Scholar 

  62. D. Wyler, Phys. Rev. D 19, 3369 (1979)

    Article  ADS  Google Scholar 

  63. G. Segr\' e, H.A. Weldon, Phys. Rev. Lett. 42, 1191 (1979)

    Article  ADS  Google Scholar 

  64. H. Sato, Nucl. Phys. B 148, 433 (1979)

    Article  ADS  Google Scholar 

  65. Y. Yamanaka, H. Sugawara, S. Pakvasa, Phys. Rev. D 25, 1895 (1982); Erratum D 29, 2135 (1984)

    Article  ADS  Google Scholar 

  66. Y. Koide, Lett. Nuovo Cimento 34, 201 (1982); Phys. Lett. B 120, 161 (1983); Phys. Rev. D 28, 252 (1983)

    Article  Google Scholar 

  67. H. Fritzsch, Z.Z. Xing, Prog. Part. Nucl. Phys. 45, 1 (2000)

    Article  ADS  Google Scholar 

  68. E. Ma, Phys. Rev. D 43, 2761 (1991)

    Article  ADS  Google Scholar 

  69. J. Kubo, A. Mondragón, M. Mondragón, E. Rodr\' iguez-J\' auregui, Prog. Theor. Phys. 109, 795 (2003)

    Article  ADS  MATH  Google Scholar 

  70. J. Kubo, Phys. Lett. B 578, 156 (2004)

    Article  ADS  Google Scholar 

  71. T. Kobayashi, J. Kubo, H. Terao, Phys. Lett. B 568, 83 (2003)

    Article  ADS  Google Scholar 

  72. Ki-Y. Choi, Y. Kajiyama, J. Kubo, H.M. Lee, Phys. Rev. D 70, 055004 (2004)

    Article  ADS  Google Scholar 

  73. S-L. Chen, M. Frigerio, E. Ma, Phys. Rev. D 70, 073008 (2004)

    Article  ADS  Google Scholar 

  74. W. Grimus, L. Lavoura, Phys. Lett. B 572, 76 (2003)

    Google Scholar 

  75. W. Grimus, A.S. Joshipura, S. Kaneko, L. Lavoura, M. Tanimoto, JHEP 0407, 078 (2004)

    Article  ADS  Google Scholar 

  76. E. Ma, G. Rajasekaran, Phys. Rev. D 64, 113012 (2001); E. Ma, Mod. Phys. Lett. A 17, 627, 2361 (2002)

    Article  ADS  Google Scholar 

  77. K.S. Babu, E. Ma, J.W.F. Valle, Phys. Lett. B 552, 207 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  78. K.S. Babu, T. Kobayashi, J. Kubo, Phys. Rev. D 67, 075018 (2003)

    Article  ADS  Google Scholar 

  79. M. Hirsch, J.C. Romao, S. Skadhauge, J.W.F. Valle, A. Villanova del Moral, Phys. Rev. D 69, 093006 (2004)

    Article  ADS  Google Scholar 

  80. M. Frigerio, S. Kaneko, E. Ma, M. Tanimoto, hep-ph/0409187

  81. K.S. Babu, J. Kubo, hep-ph/0411226

  82. W. Grimus, L. Lavoura, JHEP 0107, 045 (2001); Acta Phys. Polon. B 32, 3719 (2001)

    Article  ADS  Google Scholar 

  83. E. Ma, G. Rajasekaran, Phys. Rev. D 68, 071302 (2003); E. Ma, Phys. Lett. B 583, 157 (2004); Mod. Phys. Lett. A 19, 577 (2004)

    Article  ADS  Google Scholar 

  84. W. Grimus, A.S. Joshipura, L. Lavoura, M. Tanimoto, Eur. Phys. J. C 36, 227 (2004)

    Article  ADS  Google Scholar 

  85. Y. Koide, Phys. Rev. D 60, 077301 (1999)

    Article  ADS  Google Scholar 

  86. Y. Koide, H. Nishiura, K. Matsuda, T. Kikuchi, T. Fukuyama, Phys. Rev. D 66, 093006 (2002)

    Article  ADS  Google Scholar 

  87. T. Ohlsson, G. Seidl, Phys. Lett. B 537, 95 (2002); Nucl. Phys. B 643, 247 (2002)

    Article  ADS  Google Scholar 

  88. T. Kitabayashi, M. Yasue, Phys. Rev. D 67, 015006 (2003)

    Article  ADS  Google Scholar 

  89. C.I. Low, R.R. Volkas, Phys. Rev. D 68, 033007 (2003)

    Article  ADS  Google Scholar 

  90. W. Grimus, L. Lavoura, Phys. Lett. B 579, 113 (2004); JHEP 0405, 016 (2004)

    Article  ADS  Google Scholar 

  91. Q. Shafi, Z. Tavartkiladze, Phys. Lett. B 594, 177 (2004)

    Article  ADS  Google Scholar 

  92. C.I. Low, Phys. Rev. D 70, 073013 (2004); hep-ph/0501251

    Article  ADS  Google Scholar 

  93. S.L. Glashow, S. Weinberg, Phys. Rev. D 15, 1958 (1977)

    Article  ADS  Google Scholar 

  94. E.A. Paschos, Phys. Rev. D 15, 1966 (1977); F.E. Paige, E.A. Paschos, T.L. Trueman, Phys. Rev. D 15, 3416 (1977)

    Article  ADS  Google Scholar 

  95. J. Kubo, H. Okada, F. Sakamaki, Phys. Rev. D 70, 036007 (2004)

    Article  ADS  Google Scholar 

  96. H. Minakata, H. Sugiyama, O. Yasuda, K. Inoue, F. Suekane, Phys. Rev. D 68, 033017 (2003) [Erratum D 70, 059901 (2004)]; O. Yasuda, hep-ph/0309333; H. Minakata, Nucl. Phys. B (Proc. Suppl.) 137, 74 (2004)

    Article  ADS  Google Scholar 

  97. M. Maltoni, T. Schwetz, M.A. Tórtalo, J.W.F. Valle, New J. Phys. 6, 122 (2004)

    Article  ADS  Google Scholar 

  98. H.V. Klapdor-Kleingrothaus et al. , Eur. Phys. J. A 12, 147 (2001); C.E. Aalseth et al. , Phys. Atm. Nucl. 63, 1268 (2000); H.V. Klapdor-Kleingrothaus, A. Dietz, H.L. Harney, I.V. Krivosheina, Mod. Phys. Lett. A 16, 2409 (2001)

    Article  ADS  Google Scholar 

  99. H.V. Klapdor-Kleingrothaus, hep-ph/0307330

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Araki.

Additional information

Arrival of the final proofs: 22 November 2005

PACS:

11.30.Hv, 12.15.Ff, 14.60.Pq

Rights and permissions

Reprints and permissions

About this article

Cite this article

Araki, T., Kubo, J. & Paschos, E.A. S 3 flavor symmetry and leptogenesis. Eur. Phys. J. C 45, 465–475 (2006). https://doi.org/10.1140/epjc/s2005-02434-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2005-02434-3

Keywords

Navigation