Is U(1)H a good family symmetry? |
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| Authors: | William A Ponce Arnulfo Zepeda Jesús M Mira |
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| Institution: | 1. Departamento de Fí sica, Universidad de Antioquia, A.A., 1226, Medellí n, Colombia
2. Departamento de Fí sica, Centro de Investigació n y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000, México, DF
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| Abstract: | We analyze U(1)H as a horizontal symmetry and its possibilities to explain the known elementary-fermion masses. We find that only two candidates, in the context of SU(3)c ? SU(2)L ? U(1)Y ? U(1)H nonsuper-symmetric, are able to fit the experimental result mb«mt. identity, but it is a common prejudice to assume that the appropriate family symmetry may explain this fact as a consequence of (i) and (ii). In what follows we will enlarge the SM gauge group with an extra U(1)H horizontal local gauge symmetry (the simplest multi-family continuous symmetry we can think of). We then show that the structure SU(3)c ? SU(2)L ? U(1)Y ? U(1)H by itself is able to explain (ii), and that the simplest supersymmetric (SUSY) extension of this model without a μ-term can not cope with (ii). |
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