Fermion masses and mixings in a flavour symmetric GUT

Details Fermion masses and mixings in a flavour symmetric GUT Fermion masses and mixings in a flavour symmetric GUT

1994-07-06

arxiv.org/abs/hep-ph/9407239v1

Nucl.Phys.B435:102-114,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figures, preprint IFUP - TH 32/94

Scientific paper

10.1016/0550-3213(94)00510-L

We describe a supersymmetric Grand Unified Theory based on the gauge group $\SU(5)^3$, or $\SO(10)^3$, invariant under the interchange of any~SU(5), or~SO(10), with each family multiplet transforming non trivially under one different individual group factor. A realistic pattern of fermion masses and mixings is obtained as a result of an appropriate choice out of the many possible discretely degenerate vacua of the theory. In the~SO(10) case, we predict the three neutrino masses in terms of an overall scale and, within factors of order unity, their mixing angles. A $\nu_e$-$\nu_\mu$ oscillation is suggested as a solution of the solar neutrino problem, implying a visible $\nu_\mu$-$\nu_\tau$ oscillation in the forthcoming experiments. Grand unified theories of this type could be obtainable in a string theory framework.

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