A gauged SO(3) flavour symmetry spontaneously broken at multiple scales links SM flavour hierarchies to asymmetric dark matter via leptogenesis and sphaleron redistribution, with DM as bound states of a confining SU(3).
Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
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abstract
We develop a bottom-up approach to constructing a theory of fermion masses and mixing angles based on the gauge group $SU(3)\times G$ where SU(3) is a family symmetry and $G$ contains a unified group such as SO(10) or its Pati-Salam subgroup, together with other discrete symmetries. We construct a realistic model and show that it can provide an excellent description of quark and lepton masses and mixing angles, including almost maximal atmospheric mixing and the LMA MSW solar neutrino solution. We predict a neutrino mixing angle $\theta_{13}$ near the current limit. The model provides the basis for a new solution to the flavour problem with a characteristic soft SUSY breaking mass spectrum.
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UNVERDICTED 2representative citing papers
A 6D SO(16) GUT model unifies SM gauge groups with SU(3) family symmetry by placing three chiral generations into one spinor representation, canceling anomalies via vectorlike 6D fermions and fixed-point localized states while noting asymptotic freedom of the SO(16) coupling.
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Gauged Flavour for Asymmetric Dark Matter
A gauged SO(3) flavour symmetry spontaneously broken at multiple scales links SM flavour hierarchies to asymmetric dark matter via leptogenesis and sphaleron redistribution, with DM as bound states of a confining SU(3).
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Family Unification in $SO(16)$ Grand Unification
A 6D SO(16) GUT model unifies SM gauge groups with SU(3) family symmetry by placing three chiral generations into one spinor representation, canceling anomalies via vectorlike 6D fermions and fixed-point localized states while noting asymptotic freedom of the SO(16) coupling.