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.
Fits to SO(10) Grand Unified Models
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abstract
We perform numerical fits of Grand Unified Models based on SO(10), using various combinations of 10-, 120- and 126-dimensional Higgs representations. Both the supersymmetric and non-supersymmetric versions are fitted, as well as both possible neutrino mass orderings. In contrast to most previous works, we perform the fits at the weak scale, i.e. we use RG evolution from the GUT scale, at which the GUT-relations between the various Yukawa coupling matrices hold, down to the weak scale. In addition, the right-handed neutrinos of the seesaw mechanism are integrated out one by one in the RG running. Other new features are the inclusion of recent results on the reactor neutrino mixing angle and the Higgs mass (in the non-SUSY case). As expected from vacuum stability considerations, the low Higgs mass and the large top-quark Yukawa coupling cause some pressure on the fits. A lower top-quark mass, as sometimes argued to be the result of a more consistent extraction from experimental results, can relieve this pressure and improve the fits. We give predictions for neutrino masses, including the effective one for neutrinoless double beta decay, as well as the atmospheric neutrino mixing angle and the leptonic CP phase for neutrino oscillations.
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One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
SO(10) scalar threshold corrections generate the Higgs quartic enhancement factor k≈6 required by radiative electroweak symmetry breaking, placing the Landau pole at 1.5-2×10^16 GeV near the GUT scale.
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
citing papers explorer
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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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Towards Precision Neutrino Fits in GUTs: Relevance of One-Loop Finite Corrections
One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
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Grand Unified Origin of Enhanced Scalar Couplings: Connecting Radiative Electroweak Symmetry Breaking to SO(10) Dynamics
SO(10) scalar threshold corrections generate the Higgs quartic enhancement factor k≈6 required by radiative electroweak symmetry breaking, placing the Landau pole at 1.5-2×10^16 GeV near the GUT scale.
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Reality-constrained Minimal Yukawa Structure in SO(10) GUT
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.