Advertisement

The European Physical Journal C

, Volume 50, Issue 4, pp 809–816 | Cite as

S3 symmetry and neutrino masses and mixings

  • Yoshio KoideEmail author
Regular Article - Theoretical Physics

Abstract

Based on the universal seesaw mass matrix model with the three scalars φi, and by assuming S3 flavor symmetry for the Yukawa interactions, the lepton masses and mixings are investigated systematically. In order to understand the observed neutrino mixing, the charged leptons (e,μ,τ) are regarded as the three objects (e1,e2,e3) of S3, while the neutrino mass eigenstates are regarded as the irreducible representation (νησπ) of S3, where (νπη) and νσ are a doublet and a singlet, respectively, which are composed of the three objects (ν123) of S3.

Keywords

Mass Matrix Neutrino Masse Charged Lepton Yukawa Interaction Normal Hierarchy 
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.
    S. Pakvasa, H. Sugawara, Phys. Lett. B 73, 61 (1978)CrossRefADSMathSciNetGoogle Scholar
  2. 2.
    H. Harari, H. Haut, J. Weyers, Phys. Lett. B 78, 459 (1978)CrossRefADSGoogle Scholar
  3. 3.
    E. Derman, Phys. Rev. D 19, 317 (1979)CrossRefADSGoogle Scholar
  4. 4.
    D. Wyler, Phys. Rev. D 19, 330 (1979)CrossRefADSGoogle Scholar
  5. 5.
    S. Pakvasa, H. Sugawara, Phys. Lett. B 82, 105 (1979)CrossRefADSGoogle Scholar
  6. 6.
    Y. Yamanaka, H. Sugawara, S. Pakvasa, Phys. Rev. D 25, 1895 (1982)CrossRefADSGoogle Scholar
  7. 7.
    P.F. Harrison, D.H. Perkins, W.G. Scott, Phys. Lett. B 458, 79 (1999)CrossRefADSGoogle Scholar
  8. 8.
    P.F. Harrison, D.H. Perkins, W.G. Scott, Phys. Lett. B 530, 167 (2002)CrossRefADSGoogle Scholar
  9. 9.
    Z.Z. Xing, Phys. Lett. B 533, 85 (2002)CrossRefADSGoogle Scholar
  10. 10.
    P.F. Harrison, W.G. Scott, Phys. Lett. B 535, 163 (2003)CrossRefADSMathSciNetGoogle Scholar
  11. 11.
    P.F. Harrison, W.G. Scott, Phys. Lett. B 557, 76 (2003)CrossRefADSMathSciNetGoogle Scholar
  12. 12.
    E. Ma, Phys. Rev. Lett. 90, 221802 (2003)CrossRefADSGoogle Scholar
  13. 13.
    C.I. Low, R.R. Volkas, Phys. Rev. D 68, 033007 (2003)CrossRefADSGoogle Scholar
  14. 14.
    X.-G. He, A. Zee, Phys. Lett. B 560, 87 (2003)CrossRefADSGoogle Scholar
  15. 15.
    Particle Data Group, J. Phys. G: Nucl. Part. Phys. 33, 1 (2006)CrossRefGoogle Scholar
  16. 16.
    Y. Koide, Lett. Nuovo Cimento 34, 201 (1982)Google Scholar
  17. 17.
    Y. Koide, Phys. Lett. B 120, 161 (1983)CrossRefADSGoogle Scholar
  18. 18.
    Y. Koide, Phys. Rev. D 28, 252 (1983)CrossRefADSGoogle Scholar
  19. 19.
    Y. Koide, Mod. Phys. Lett. A 5, 2319 (1990)CrossRefADSGoogle Scholar
  20. 20.
    Y. Koide, H. Fusaoka, Z. Phys. C 71, 459 (1996)CrossRefGoogle Scholar
  21. 21.
    Y. Koide, M. Tanimoto, Z. Phys. C 72, 333 (1996)CrossRefGoogle Scholar
  22. 22.
    Z.G. Berezhiani, Phys. Lett. B 129, 99 (1983)CrossRefADSGoogle Scholar
  23. 23.
    Z.G. Berezhiani, Phys. Lett. B 150, 177 (1985)CrossRefADSGoogle Scholar
  24. 24.
    D. Chang, R.N. Mohapatra, Phys. Rev. Lett. 58, 1600 (1987)CrossRefADSGoogle Scholar
  25. 25.
    A. Davidson, K.C. Wali, Phys. Rev. Lett. 59, 393 (1987)CrossRefADSGoogle Scholar
  26. 26.
    S. Rajpoot, Mod. Phys. Lett. A 2, 307 (1987)CrossRefADSGoogle Scholar
  27. 27.
    S. Rajpoot, Phys. Lett. B 191, 122 (1987)CrossRefADSGoogle Scholar
  28. 28.
    S. Rajpoot, Phys. Rev. D 36, 1479 (1987)CrossRefADSMathSciNetGoogle Scholar
  29. 29.
    K.S. Babu, R.N. Mohapatra, Phys. Rev. Lett. 62, 1079 (1989)CrossRefADSGoogle Scholar
  30. 30.
    K.S. Babu, R.N. Mohapatra, Phys. Rev. D 41, 1286 (1990)CrossRefADSGoogle Scholar
  31. 31.
    S. Ranfone, Phys. Rev. D 42, 3819 (1990)CrossRefADSGoogle Scholar
  32. 32.
    A. Davidson, S. Ranfone, K.C. Wali, Phys. Rev. D 41, 208 (1990)CrossRefADSGoogle Scholar
  33. 33.
    I. Sogami, T. Shinohara, Prog. Theor. Phys. 86, 1031 (1991)CrossRefADSGoogle Scholar
  34. 34.
    I. Sogami, T. Shinohara, Phys. Rev. D 47, 2905 (1993)CrossRefADSGoogle Scholar
  35. 35.
    Z.G. Berezhiani, R. Rattazzi, Phys. Lett. B 279, 124 (1992)CrossRefADSGoogle Scholar
  36. 36.
    P. Cho, Phys. Rev. D 48, 5331 (1993)CrossRefADSGoogle Scholar
  37. 37.
    A. Davidson, L. Michel, M.L. Sage, K.C. Wali, Phys. Rev. D 49, 1378 (1994)CrossRefADSGoogle Scholar
  38. 38.
    W.A. Ponce, A. Zepeda, R.G. Lozano, Phys. Rev. D 49, 4954 (1994)CrossRefADSGoogle Scholar
  39. 39.
    Y. Koide, Phys. Rev. D 73, 057901 (2006)CrossRefADSGoogle Scholar
  40. 40.
    Y. Koide, Phys. Rev. D 60, 077301 (1999)CrossRefADSGoogle Scholar
  41. 41.
    C. Frogatt, H.B. Nielsen, Nucl. Phys. B 147, 277 (1979)CrossRefADSGoogle Scholar
  42. 42.
    SNO Collaboration, B. Aharmim et al., Phys. Rev. C 72, 055502 (2005)CrossRefADSGoogle Scholar
  43. 43.
    KamLAND Collaboration, T. Araki et al., Phys. Rev. Lett. 94, 081801 (2005)CrossRefADSGoogle Scholar
  44. 44.
    MINOS Collaboration, D.G. Michael et al., Phys. Rev. Lett. 97, 191801 (2006)CrossRefADSGoogle Scholar
  45. 45.
    Super-Kamiokande Collaboration, J. Hosaka et al., hep-ex/0604011Google Scholar
  46. 46.
    C. Brannen, http://brannenworks.com/MASSES2.pdf (2006)Google Scholar
  47. 47.
    T. Fukuyama, H. Nishiura, in: Proceedings of the International Workshop on Masses and Mixings of Quarks and Leptons, Shizuoka, Japan, 1997, ed. by Y. Koide (World Scientific, Singapore, 1998) p. 252 [hep-ph/9702253]Google Scholar
  48. 48.
    E. Ma, M. Raidal, Phys. Rev. Lett. 87, 011802 (2001) [hep-ph/0102255]CrossRefADSGoogle Scholar
  49. 49.
    C.S. Lam, Phys. Lett. B 507, 214 (2001) [hep-ph/0104116]CrossRefADSGoogle Scholar
  50. 50.
    K.R.S. Balaji, W. Grimus, T. Schwetz, Phys. Lett. B 508, 301 (2001) [hep-ph/0104035]CrossRefADSGoogle Scholar
  51. 51.
    W. Grimus, L. Lavoura, Acta Phys. Pol. B 32, 3719 (2001) [hep-ph/0110041]ADSGoogle Scholar
  52. 52.
    CHOOZ Collaboration, M. Apollonio, Phys. Lett. B 466, 415 (1999)CrossRefADSGoogle Scholar
  53. 53.
    Y. Koide, hep-ph/0605074Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of ShizuokaShizuokaJapan

Personalised recommendations