The universal two-zero texture in SO(10) fits flavor data with seven parameters, prefers normal neutrino ordering, predicts Dirac-phase regions and meV-scale m_beta beta, and arises from Z_3 gauging of Z_N (minimal N=7) without extra low-energy fields.
Flavour symmetries in a renormalizable SO(10) model
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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 $\mathbf{10} \oplus \mathbf{120} \oplus \bar{\mathbf{126}}$ 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.
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hep-ph 1years
2026 1verdicts
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Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries
The universal two-zero texture in SO(10) fits flavor data with seven parameters, prefers normal neutrino ordering, predicts Dirac-phase regions and meV-scale m_beta beta, and arises from Z_3 gauging of Z_N (minimal N=7) without extra low-energy fields.