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A Predictive and Testable Unified Theory of Fermion Masses, Mixing and Leptogenesis
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abstract
We consider a minimal non-supersymmetric $SO(10)$ Grand Unified Theory (GUT) model that can reproduce the observed fermionic masses and mixing parameters of the Standard Model. We calculate the scales of spontaneous symmetry breaking from the GUT to the Standard Model gauge group using two-loop renormalisation group equations. This procedure determines the proton decay rate and the scale of $U(1)_{B-L}$ breaking, which generates cosmic strings and the right-handed neutrino mass scales. Consequently, the regions of parameter space where thermal leptogenesis is viable are identified and correlated with the fermion masses and mixing, the neutrinoless double beta decay rate, the proton decay rate, and the gravitational wave signal resulting from the network of cosmic strings. We demonstrate that this framework, which can explain the Standard Model fermion masses and mixing and the observed baryon asymmetry, will be highly constrained by the next generation of gravitational wave detectors and neutrino oscillation experiments which will also constrain the proton lifetime.
Forward citations
Cited by 4 Pith papers
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Asymptotic grand unification in SO(10) with one extra dimension
A 5D SO(10) model with a 10, 120, and 16 Higgs can make gauge couplings asymptotically safe and Yukawa couplings asymptotically free, but only with an exact matching condition at the compactification scale.
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Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries
Universal two-zero textures in SO(10) remain compatible with JUNO-era flavor data, prefer normal ordering, predict meV-scale mββ, and arise from Z3-gauged Z7 non-invertible selection rules.
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Probing quark-lepton correlation in GUTs with high-precision neutrino measurements
In SO(10) GUT fits with JUNO data, normal neutrino mass ordering is favored and the models predict distinct CP-violation, double-beta-decay, and right-handed-neutrino mass signatures.
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Right-handed neutrinos: seesaw models and signatures
A pedagogical review that explains how adding right-handed neutrinos can generate small neutrino masses through seesaw mechanisms and what experimental signatures such models predict.
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