Geometric Model of the Generations
- 27 November 1995
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (22) , 3985-3988
- https://doi.org/10.1103/physrevlett.75.3985
Abstract
We propose a geometric theory of flavor based on the discrete group $(S_3)^3$, in the context of the minimal supersymmetric standard model. The group treats three objects symmetrically, while making fundamental distinctions between the generations. The top quark is the only heavy quark in the symmetry limit, and the first and second generation squarks are degenerate. The hierarchical nature of Yukawa matrices is a consequence of a sequential breaking of $(S_3)^3$.Comment: 10 pages, 1 EPS figure as uuencoded tar-compressed file, uses psfig.st
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This publication has 19 references indexed in Scilit:
- Softly broken supersymmetry and SU(5)Published by Elsevier ,2002
- Third-family flavor physics in an SU(3×SU(2×U(1modelPhysical Review D, 1995
- Low-energy effective Lagrangian in unified theories with nonuniversal supersymmetry-breaking termsPhysical Review D, 1995
- Minimal family unificationPhysical Review D, 1995
- Fermion masses and mixing angles from gauge symmetriesPhysics Letters B, 1994
- Flavor unification and discrete non-Abelian symmetriesPhysical Review D, 1994
- Flavor symmetries and the problem of squark degeneracyPhysical Review D, 1993
- Note on discrete gauge anomaliesPhysical Review D, 1992
- Discrete gauge symmetry in continuum theoriesPhysical Review Letters, 1989
- Supergravity as the messenger of supersymmetry breakingPhysical Review D, 1983