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.
On the four-zero texture of quark mass matrices and its stability
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abstract
We carry out a new study of quark mass matrices $M^{}_{\rm u}$ (up-type) and $M^{}_{\rm d}$ (down-type) which are Hermitian and have four zero entries, and find a new part of the parameter space which was missed in the previous works. We identify two more specific four-zero patterns of $M^{}_{\rm u}$ and $M^{}_{\rm d}$ with fewer free parameters, and present two toy flavor-symmetry models which can help realize such special and interesting quark flavor structures. We also show that the texture zeros of $M^{}_{\rm u}$ and $M^{}_{\rm d}$ are essentially stable against the evolution of energy scales in an analytical way by using the one-loop renormalization-group equations.
fields
hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Under the approximations U13^e = 0 and U23^e = 0, the Fritzsch-Xing CP phase equals the sum of the neutrino-intrinsic phase and the relative phase between the first two generations.
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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.
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Rephasing invariant structure of CP phase for simplified mixing matrices in Fritzsch--Xing parametrization
Under the approximations U13^e = 0 and U23^e = 0, the Fritzsch-Xing CP phase equals the sum of the neutrino-intrinsic phase and the relative phase between the first two generations.