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arXiv · hep-ph/9407239

Fermion masses and mixings in a flavour symmetric GUT

Riccardo Barbieri·Gia Dvali·Alessandro Strumia
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Abstract

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 $ν_e$-$ν_μ$ oscillation is suggested as a solution of the solar neutrino problem, implying a visible $ν_μ$-$ν_τ$ oscillation in the forthcoming experiments. Grand unified theories of this type could be obtainable in a string theory framework.

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Riccardo Barbieri, Gia Dvali, Alessandro Strumia. 1994-07-06. Fermion masses and mixings in a flavour symmetric GUT. https://doi.org/10.1016/0550-3213(94)00510-l

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