Skip to main content
Log in

U(3)-family nonet Higgs boson and its phenomenology

  • Published:
Zeitschrift für Physik C: Particles and Fields

Abstract

In a model where quark and lepton masses and family-mixings are caused not by a variety of Yukawa couplingsy ij (i,j=1, 2, 3: family indices) with one vacuum expectation value (VEV)ν=〈φ 0 L 0, but by a variety of VEV’s of a U(3)-family nonet Higgs bosonφ L ,v j i =〈φ 0j Li 0, with a single coupling constant, the following problems are investigated: what constraints on the Higgs potential are imposed in order to provide realistic quark and lepton mass spectra and mixings and what constraints on the Higgs boson masses are required in order to suppress unwelcome flavor-changing neutral current effects. Lower bounds of the physical Higgs boson masses ofφ L are deduced from the present experimental data and new physics from the present scenario is speculated.

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 and Footnotes

  1. The “family symmetry” is also called a “horizontal symmetry”: K. Akama, H. Terazawa: Univ. of Tokyo, report No. 257 (1976) (unpublished); T. Maehara, T. Yanagida: Prog. Theor. Phys. 60, 822 (1978); F. Wilczek, A. Zee: Phys. Rev. Lett. 42, 421 (1979); A. Davidson, M. Koca, K. C. Wali: Phys. Rev. D20, 1195 (1979); J. Chakrabarti, Phys. Rev. D20, 2411 (1979).

  2. M. Kobayashi, T. Maskawa: Prog. Theor. Phys. 49, 652 (1973).

    Article  ADS  Google Scholar 

  3. The seesaw mechanism has originally proposed for the purpose of explaining why neutrino masses are so invisibly small: M. Gell-Mann, P. Rammond, R. Slansky: in Supergravity, edited by P. van Nieuwenhuizen and D. Z. Freedman (North-Holland, 1979); T. Yanagida, in Proc. Workshop of the Unified Theory and Baryon Number in the Universe, edited by A. Sawada and A. Sugamoto (KEK, 1979); R. Mohapatra, G. Senjanovic: Phys. Rev. Lett. 44, 912 (1980). For applications of the seesaw mechanism to the quark mass matrix, see, for example, Z. G. Berezhiani, Phys. Lett. 129B, 99 (1983); Phys. Lett. 150B, 177 (1985); D. Chang, R. N. Mohapatra: Phys. Rev. Lett. 58, 1600 (1987); A. Davidson, K. C. Wali; Phys. Rev. Lett. 59, 393 (1987); S. Rajpoot:, Mod. Phys. Lett. A2, 307 (1987); Phys. Lett. 191B, 122 (1987); Phys. Rev. D36, 1479 (1987); K. B. Babu, R. N. Mohapatra: Phys. Rev. Lett. 62, 1079 (1989); Phys. Rev. D41, 1286 (1990); S. Ranfone: Phys. Rev. D42, 3819 (1990); A. Davidson, S. Ranfone, K. C. Wali: Phys. Rev. D41, 208 (1990); I. Sogami, T. Shinohara: Prog. Theor. Phys. 66, 1031 (1991); Phys. Rev. D47, 2905 (1993); Z. G. Berezhiani, R. Rattazzi: Phys. Lett. B279, 124 (1992); P. Cho: Phys. Rev. D48, 5331 (1994); A. Davidson, L. Michel, M. L, Sage, K. C. Wali: Phys. Rev. D49, 1378 (1994); W. A. Ponce, A. Zepeda, R. G. Lozano: Phys. Rev. D49, 4954 (1994)

  4. Y. Koide: Mod. Phys. Lett. A5, 2319 (1990)

    ADS  Google Scholar 

  5. Y. Koide: Lett. Nuovo Cimento 34, 201 (1982); Phys. Lett. B120, 161 (1983); Phys. Rev. D28, 252 (1983)

    Article  Google Scholar 

  6. Particle data group, Phys. Rev. D50, 1173 (1994)

    Google Scholar 

  7. Y. Koide: a talk presented at the INS Workshop Physics ofe + e ,e γ andγγ collisions at linear accelerators”, INS, University of Tokyo, December 20–22, 1994, to be published in Proceedings edited by Z. Hioki, T. Ishii, R. Najima. The prototype of this model was investigated by Fusaoka and one of the authors (Y.K.): Y. Koide and H. Fusaoka, US-94-02, 1994 (hep-ph/9403354), (unpublished). However, their Higgs potential leads to massless physical Higgs bosons, so that it brings some troubles into the theory. In the present paper, the global symmetry U(3) family will be broken explicitly, and not spontaneously, so that massless physical Higgs bosons will not appear.

  8. H. Harari, H. Haut, J. Weyers: Phys. Lett. B78, 459 (1978)

    ADS  Google Scholar 

  9. Y. Koide, H. Fusaoka: Preprint US-95-03 and AMU-95-04 (1995) (hep-ph 9505201), to be published in Z. Phys. C

  10. H. Harari, H. Haut, J. Weyers: Phys. Lett. B78 (1978) 459; T. Goldman, in Gauge Theories, Massive Neutrinos and Proton Decays, edited by A. Perlumutter (Plenum Press, New York, 1981), p.111; T. Goldman, G. J. Stephenson, Jr.,: Phys. Rev. D24 (1981) 236; Y. Koide: Phys. Rev. Lett. 47 (1981) 1241; Phys. Rev. D28 (1983) 252; 39 (1989) 1391; C. Jarlskog: in Proceedings of the International Symposium on Production and Decays of Heavy Hadrons, Heidelberg, Germany, 1986 edited by K. R. Schubert, R. Waldi: (DESY, Hamburg), 1986, p.331; P. Kaus, S. Meshkov: Mod. Phys. Lett. A3 (1988) 1251; Phys. Rev. D42 (1990) 1863; L. Lavoura: Phys. Lett. B228 (1989) 245; M. Tanimoto: Phys. Rev. D41 (1990) 1586; H. Fritzsch, J. Plankl: Phys. Lett. B237 (1990) 451; Y. Nambu: in Proceedings of the International Workshop on Electroweak Symmetry Breaking, Hiroshima, Japan, (World Scientific, Singapore, 1992), p.1

    ADS  Google Scholar 

  11. V. Barger, J. L. Hewett, R. J. N. Phillips: Phys. Rev. D41, 3421 (1990); L. Hall, S. Weinberg: Phys. Rev. D48, R979 (1993); Y. L. Wu, L. Wolfernstein: Phys. Rev. Lett. 73, 1762 (1994)

    ADS  Google Scholar 

  12. B. McWilliams, O. Shanker: Phys. Rev. D22, 2853 (1980)

    ADS  Google Scholar 

  13. A. J. Buras, M. Jamin, P. H. Weisz: Nucl. Phys. B347, 491 (1990)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yoshio Koide.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koide, Y., Tanimoto, M. U(3)-family nonet Higgs boson and its phenomenology. Z. Phys. C - Particles and Fields 72, 333–344 (1996). https://doi.org/10.1007/s002880050253

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002880050253

Keywords

Navigation