---

Prog. Theor. Phys. Vol. 70 No. 6 (1983) pp. 1624-1635

Electroweak Gauge Models with Broken Generation Symmetry

Naofusa Honzawa, Isao Itō, Shūichi Matsui, S. Y. Tsai and Hideki Yoshida

Atomic Energy Research Institute and Department of Physics, College of Science and Technology, Nihon University, Tokyo 101

(Received June 3, 1983)

Abstract:

As an approach to the so-called generation or family problem in the framework of the minimal SU (2) ×U (1) electroweak gauge model with n lepton and n quark generations, we require that the whole Lagrangian be invariant under the symmetric group S_n with respect to generation. Since, with the standard Higgs doublet φ only, one necessarily encounters degeneracy in fermion masses if n ≥3, in contradiction to observation, we introduce, in addition, n Higgs doublets φ_i which carry the generation index. It is shown that no more than six generations can be incorporated into the model and that no more than three generations can mix weakly. We also investigate the case in which there are only n-1 Higgs doublets transforming as an (n-1)-plet under S_n.

URL : http://ptp.ipap.jp/link?PTP/70/1624/
DOI : 10.1143/PTP.70.1624

[ Full Text PDF : FREE ACCESS (503K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. S. Y. Tsai, Lett. Nuovo Cim. 2 (1971), 949.
2. G. Feinberg, P. K. Kabir and S. Weinberg, Phys. Rev. Lett. 3 (1959), 527[APS].
   N. Cabibbo and R. Gatto, Phys. Rev. Lett. 5 (1960), 114[APS].
3. G. Feinberg and S. Weinberg, Phys. Rev. Lett. 6 (1961), 381[APS].
   N. Cabibbo and R. Gatto, Nuovo Cim. 19 (1961), 612.
   S. Y. Tsai, Lett. Nuovo Cim. 1 (1971), 699.
4. E. Derman and D. R. T. Jones, Phys. Lett. B 70 (1977), 449[CrossRef].
   E. Derman, Phys. Lett. B 78 (1978), 497[CrossRef].
   E. Derman, Phys. Rev. D 19 (1979), 317[APS].
5. E. Derman and H. S. Tsao, Phys. Rev. D 20 (1979), 1207[APS].
6. S. Glashow, Nucl. Phys. 22 (1961), 579[CrossRef].
   S. Weinberg, Phys. Rev. Lett. 19 (1967), 1264[APS].
   A Salam, in Elementary Particle Theory : Relativistic Groups and Analyticity (Nobel Symposium No. 8), ed. N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367.
7. Y. Yamanaka, H. Sugawara and S. Pakvasa, Phys. Rev. D 25 (1982), 1895[APS].
8. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49 (1973), 652[PTP].
9. R. N. Mohapatra and G. Senjanović, Phys. Rev. D 23 (1981), 165[APS].
10. H. Yoshida, unpublished.

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.