A gauged SO(3) flavour symmetry broken at multiple scales generates SM fermion masses, redistributes a lepton asymmetry into baryon and dark matter asymmetries via sphalerons, and yields dark matter as bound states of a confining SU(3), with mirror fermions required for anomaly cancellation.
Fermion masses and mixings in a flavour symmetric GUT
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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 $\nu_e$-$\nu_\mu$ 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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Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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Gauged Flavour for Asymmetric Dark Matter
A gauged SO(3) flavour symmetry broken at multiple scales generates SM fermion masses, redistributes a lepton asymmetry into baryon and dark matter asymmetries via sphalerons, and yields dark matter as bound states of a confining SU(3), with mirror fermions required for anomaly cancellation.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.