Flavour symmetries in a renormalizable SO(10) model

Abstract

In the context of a renormalizable supersymmetric SO(10) Grand Unified Theory, we consider the fermion mass matrices generated by the Yukawa couplings to a $10\oplus 120\oplus \overline{126}$ representation of scalars. We perform a complete investigation of the possibilities of imposing flavour symmetries in this scenario; the purpose is to reduce the number of Yukawa coupling constants in order to identify potentially predictive models. We have found that there are only 14 inequivalent cases of Yukawa coupling matrices, out of which 13 cases are generated by $Z_n$ symmetries, with suitable $n$, and one case is generated by a $Z_2\times Z_2$ symmetry. A numerical analysis of the 14 cases reveals that only two of them---dubbed A and B in the present paper---allow good fits to the experimentally known fermion masses and mixings.

36 pages, no figures, revised fits using newer data, added fit for case A, added references, new appendices concerning the SO(10) scalar potential and inequalities for the vacuum expectation values, conclusions unchanged; some minor changes, matches published version

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Cited by in corpus (12)

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• Standard Coupling Unification in SO(10), Hybrid Seesaw Neutrino Mass and Leptogenesis, Dark Matter, and Proton Lifetime Predictions
• Flavor Hierarchies from Clockwork in SO(10) GUT
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Hidden flavor symmetries of SO(10) GUT
• SO(10) models with flavour symmetries: Classification and examples
• Toward Realistic Gauge-Higgs Grand Unification
• SO(10) unification with horizontal symmetry
• Flavor Symmetries in the Yukawa Sector of Non-Supersymmetric SO(10): Numerical Fits Using Renormalization Group Running
• Flavor Symmetries in an SU(5) Model of Grand Unification
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture