Advertisement

The European Physical Journal C

, Volume 51, Issue 3, pp 721–729 | Cite as

A renormalizable SO(10) GUT scenario with spontaneous CP violation

  • W. GrimusEmail author
  • H. Kühböck
Regular Article - Theoretical Physics

Abstract

We consider fermion masses and mixings in a renormalizable SUSY SO(10) GUT with Yukawa couplings of scalar fields in the representation \(\mathbf{10}\oplus\mathbf{120}\oplus\overline{\mathbf{126}}\). We investigate a scenario defined by the following assumptions. (i) We have a single large scale in the theory, the GUT scale. (ii) The small neutrino masses are generated by the type I seesaw mechanism with negligible type II contributions. (iii) We assume a suitable form of spontaneous CP breaking that induces hermitian mass matrices for all fermion mass terms of the Dirac type. Our assumptions define an 18-parameter scenario for the fermion mass matrices for 18 experimentally known observables. Performing a numerical analysis, we find excellent fits to all observables in the case of both the normal and inverted neutrino mass spectrum.

Keywords

Yukawa Coupling Neutrino Mass Seesaw Mechanism Light Neutrino Masse Neutrino Mass Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. Fritzsch, P. Minkowski, Ann. Phys. 93, 193 (1975)CrossRefADSGoogle Scholar
  2. 2.
    P. Minkowski, Phys. Lett. B 67, 421 (1977)CrossRefADSGoogle Scholar
  3. 3.
    T. Yanagida, in: Proc. Workshop on Unified Theory and Baryon Number in the Universe, O. Sawata, ed. by A. Sugamoto, KEK report 79–18, Tsukuba, Japan, 1979Google Scholar
  4. 4.
    S.L. Glashow, in: Quarks and Leptons, Proc. Adv. Study Institute (Cargèse, Corsica, 1979), ed. by J.-L. Basdevant et al., (Plenum, New York, 1980), p. 687Google Scholar
  5. 5.
    M. Gell-Mann, P. Ramond, R. Slansky, in: Supergravity, ed. by D.Z. Freedman, F. van Nieuwenhuizen (North Holland, Amsterdam, 1979), p. 315Google Scholar
  6. 6.
    R.N. Mohapatra, G. Senjanović, Phys. Rev. Lett. 44, 912 (1980)CrossRefADSGoogle Scholar
  7. 7.
    G. Lazarides, Q. Shafi, C. Wetterich, Nucl. Phys. B 181, 287 (1981)CrossRefADSGoogle Scholar
  8. 8.
    R.N. Mohapatra, G. Senjanović, Phys. Rev. D 23, 165 (1981)CrossRefADSGoogle Scholar
  9. 9.
    R.N. Mohapatra, P. Pal, Massive Neutrinos in Physics and Astrophysics (World Scientific, Singapore, 1991), p. 127Google Scholar
  10. 10.
    J. Schechter, J.W.F. Valle, Phys. Rev. D 22, 2227 (1980)CrossRefADSGoogle Scholar
  11. 11.
    S.M. Bilenky, J. Hošek, S.T. Petcov, Phys. Lett. B 94, 495 (1980)CrossRefADSGoogle Scholar
  12. 12.
    I.Y. Kobzarev, B.V. Martemyanov, L.B. Okun, M.G. Shchepkin, Yad. Fiz. 32, 1590 (1980) [Sov. J. Nucl. Phys. 32, 823 (1981)]Google Scholar
  13. 13.
    J. Schechter, J.W.F. Valle, Phys. Rev. D 25, 774 (1982)CrossRefADSGoogle Scholar
  14. 14.
    G. Senjanović, in: Proc. SEESAW25: International conference on the seesaw mechanism and the neutrino mass, 10–11 June 2004, Paris, France, ed. by J. Orloff, S. Lavignac, M. Cribier (World Scientific, Singapore, 2005), p. 45 [hep-ph/0501244]Google Scholar
  15. 15.
    R.N. Mohapatra, B. Sakita, Phys. Rev. D 21, 1062 (1980)CrossRefADSGoogle Scholar
  16. 16.
    R. Slansky, Phys. Rep. 79, 1 (1981)CrossRefADSGoogle Scholar
  17. 17.
    C.S. Aulakh, R.N. Mohapatra, Phys. Rev. D 28, 217 (1983)CrossRefADSGoogle Scholar
  18. 18.
    T.E. Clark, T.K. Kuo, N. Nakagawa, Phys. Lett. B 115, 26 (1982)CrossRefADSGoogle Scholar
  19. 19.
    K.S. Babu, R.N. Mohapatra, Phys. Rev. Lett. 70, 2845 (1993) [hep-ph/9209215]CrossRefADSGoogle Scholar
  20. 20.
    C.S. Aulakh, B. Bajc, A. Melfo, G. Senjanović, F. Vissani, Phys. Lett. B 588, 196 (2004) [hep-ph/0306242]CrossRefADSGoogle Scholar
  21. 21.
    K. Matsuda, Y. Koide, T. Fukuyama, Phys. Rev. D 64, 053015 (2001) [hep-ph/0010026]CrossRefADSGoogle Scholar
  22. 22.
    K. Matsuda, Y. Koide, T. Fukuyama, H. Nishiura, Phys. Rev. D 65, 033008 (2002)CrossRefADSGoogle Scholar
  23. 23.
    K. Matsuda, Y. Koide, T. Fukuyama, H. Nishiura, Phys. Rev. D 65, 079904 (2002), Erratum hep-ph/0108202CrossRefADSGoogle Scholar
  24. 24.
    T. Fukuyama, N. Okada, JHEP 11, 011 (2002) [hep-ph/0205066]CrossRefGoogle Scholar
  25. 25.
    B. Bajc, G. Senjanović, F. Vissani, Phys. Rev. Lett. 90, 051802 (2003) [hep-ph/0210207]CrossRefADSGoogle Scholar
  26. 26.
    H.S. Goh, R.N. Mohapatra, S.P. Ng, Phys. Lett. B 570, 215 (2003) [hep-ph/0303055]CrossRefADSGoogle Scholar
  27. 27.
    H.S. Goh, R.N. Mohapatra, S.P. Ng, Phys. Rev. D 68, 115008 (2003) [hep-ph/0308197]CrossRefADSGoogle Scholar
  28. 28.
    B. Bajc, G. Senjanović, F. Vissani, Phys. Rev. D 70, 093002 (2004) [hep-ph/0402140]CrossRefADSGoogle Scholar
  29. 29.
    K.S. Babu, C. Macesanu, Phys. Rev. D 72, 115003 (2005) [hep-ph/0505200]CrossRefADSGoogle Scholar
  30. 30.
    K. Matsuda, T. Fukuyama, H. Nishiura, Phys. Rev. D 61, 053001 (2000) [hep-ph/9906433]CrossRefADSGoogle Scholar
  31. 31.
    S. Bertolini, M. Frigerio, M. Malinský, Phys. Rev. D 70, 095002 (2004) [hep-ph/0406117]CrossRefADSGoogle Scholar
  32. 32.
    S. Bertolini, M. Malinský, Phys. Rev. D 72, 055021 (2005) [hep-ph/0504241]CrossRefADSGoogle Scholar
  33. 33.
    C.S. Aulakh, A. Girdar, Int. J. Mod. Phys. A 20, 865 (2005) [hep-ph/0204097]zbMATHCrossRefADSGoogle Scholar
  34. 34.
    T. Fukuyama, A. Ilakovac, T. Kikuchi, S. Meljanac, N. Okada, Eur. Phys. J. C 42, 191 (2005) [hep-ph/0401213]CrossRefADSGoogle Scholar
  35. 35.
    B. Bajc, A. Melfo, G. Senjanović, F. Vissani, Phys. Rev. D 70, 035007 (2004) [hep-ph/0402122]CrossRefADSGoogle Scholar
  36. 36.
    C.S. Aulakh, A. Girdar, Nucl. Phys. B 711, 275 (2005) [hep-ph/0405074]ADSGoogle Scholar
  37. 37.
    T. Fukuyama, A. Ilakovac, T. Kikuchi, S. Meljanac, N. Okada, J. Math. Phys. 46, 033505 (2005) [hep-ph/0405300]CrossRefGoogle Scholar
  38. 38.
    T. Fukuyama, A. Ilakovac, T. Kikuchi, S. Meljanac, N. Okada, Phys. Rev. D 72, 051701 (2005) [hep-ph/0412348]CrossRefADSGoogle Scholar
  39. 39.
    C.S. Aulakh, Phys. Rev. D 72, 051702 (2005) [hep-ph/0501025]CrossRefADSGoogle Scholar
  40. 40.
    M. Maltoni, T. Schwetz, M.A. Tórtola, J.W.F. Valle, New J. Phys. 6, 122 (2004) [hep-ph/0405172]CrossRefADSGoogle Scholar
  41. 41.
    G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo, Prog. Part. Nucl. Phys. 57, 742 (2006) [hep-ph/0506083]CrossRefADSGoogle Scholar
  42. 42.
    T. Schwetz, Phys. Scripta T 127, 1 (2006) [hep-ph/0606060]CrossRefADSGoogle Scholar
  43. 43.
    C.S. Aulakh, Expanded version of the plenary talks at the Workshop Series on Theoretical High Energy Physics, IIT Roorkee, Uttaranchal, India, March 16–20, 2005, and at the 8th European Meeting “From the Planck Scale to the Electroweak Scale” (PLANCK05), ICTP, Trieste, Italy, May 23–28, 2005, hep-ph/0506291Google Scholar
  44. 44.
    B. Bajc, A. Melfo, G. Senjanović, F. Vissani, Phys. Lett. B 634, 272 (2006) [hep-ph/0511352]CrossRefADSGoogle Scholar
  45. 45.
    C.S. Aulakh, S.K. Garg, Nucl. Phys. B 757, 47 (2006) [hep-ph/0512224]zbMATHCrossRefADSGoogle Scholar
  46. 46.
    S. Bertolini, T. Schwetz, M. Malinský, Phys. Rev. D 73, 115012 (2006) [hep-ph/0605006]CrossRefADSGoogle Scholar
  47. 47.
    C.S. Aulakh, hep-ph/0602132Google Scholar
  48. 48.
    N. Oshimo, Phys. Rev. D 66, 0950 (2002) [hep-ph/0206239]CrossRefGoogle Scholar
  49. 49.
    N. Oshimo, Nucl. Phys. B 668, 258 (2003) [hep-ph/0305166]CrossRefADSGoogle Scholar
  50. 50.
    W.-M. Yang, Z.-G. Wang, Nucl. Phys. 707, 87 (2005) [hep-ph/0406221]zbMATHCrossRefADSGoogle Scholar
  51. 51.
    B. Dutta, Y. Mimura, R.N. Mohapatra, Phys. Lett. B 603, 35 (2004) [hep-ph/0406262]CrossRefADSGoogle Scholar
  52. 52.
    B. Dutta, Y. Mimura, R.N. Mohapatra, Phys. Rev. Lett. 94, 091804 (2005) [hep-ph/0412105]CrossRefADSGoogle Scholar
  53. 53.
    B. Dutta, Y. Mimura, R.N. Mohapatra, Phys. Rev. D 72, 075009 (2005) [hep-ph/0507319]CrossRefADSGoogle Scholar
  54. 54.
    L. Lavoura, H. Kühböck, W. Grimus, Nucl. Phys. B 754, 1 (2006) [hep-ph/0603259]zbMATHCrossRefADSGoogle Scholar
  55. 55.
    W. Grimus, H. Kühböck, Phys. Lett. B 643, 182 (2006) [hep-ph/0607197]CrossRefADSGoogle Scholar
  56. 56.
    C.S. Aulakh, hep-ph/0607252Google Scholar
  57. 57.
    C.S. Aulakh, talk presented at 33rd International Conference on High Energy Physics (ICHEP06), Moscow, Russia, July 26–August 2, 2006 [hep-ph/0610097]Google Scholar
  58. 58.
    J.C. Pati, A. Salam, Phys. Rev. D 8, 1240 (1973)CrossRefADSGoogle Scholar
  59. 59.
    C.S. Aulakh, S.K. Garg, hep-ph/0612021Google Scholar
  60. 60.
    N.V. Smolyakov, Theor. Math. Phys. 50, 225 (1982)CrossRefGoogle Scholar
  61. 61.
    W. Grimus, M.N. Rebelo, Phys. Rep. 281, 239 (1997) [hep-ph/9506272]CrossRefADSGoogle Scholar
  62. 62.
    D. Chang, R.N. Mohapatra, M.K. Parida, Phys. Rev. Lett. 52, 1072 (1984)CrossRefADSGoogle Scholar
  63. 63.
    D. Chang, R.N. Mohapatra, M.K. Parida, Phys. Rev. D 30, 1052 (1984)CrossRefADSGoogle Scholar
  64. 64.
    C.R. Das, M.K. Parida, Eur. Phys. J. C 20, 121 (2001) [hep-ph/0010004]ADSGoogle Scholar
  65. 65.
    W.-M. Yao et al., J. Phys. G 33, 1 (2006)CrossRefADSGoogle Scholar
  66. 66.
    J.A. Nelder, R. Mead, Comput. J. 7, 306 (1965)Google Scholar
  67. 67.
    W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, 1992)Google Scholar
  68. 68.
    G.C. Branco, J.-M. Gérard, W. Grimus, Phys. Lett. B 136, 383 (1984)CrossRefADSGoogle Scholar
  69. 69.
    G. Ecker, W. Grimus, H. Neufeld, Nucl. Phys. B 247, 70 (1984)CrossRefADSGoogle Scholar
  70. 70.
    F. Wilczek, A. Zee, Phys. Rev. D 25, 553 (1982)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2007

Authors and Affiliations

  1. 1.Fakultät für PhysikUniversität WienWienAustria

Personalised recommendations