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Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
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The leptonic Higgs doublet model of neutrino masses is implemented with an A_4 discrete symmetry (the even permutation of 4 objects or equivalently the symmetry of the tetrahedron) which has 4 irreducible representations: 1, 1', 1'', and 3. The resulting spontaneous and soft breaking of A_4 provides a realistic model of charged-lepton masses as well as a nearly degenerate neutrino mass matrix. Phenomenological consequences at and below the TeV scale are discussed.
Forward citations
Cited by 9 Pith papers
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Towards AI-assisted Neutrino Flavor Theory Design
AMBer applies reinforcement learning with physics feedback to automate construction of neutrino flavor models that minimize free parameters, validated on known cases and extended to a new symmetry group.
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Maximal Abelian Flavor Symmetries
MAFS describes 15 flavor observables in SU(5) and SO(10) GUTs using 5 or 3 fitted small parameters at factor-of-two accuracy, implying large neutrino mixings and approximate leptogenesis without extra parameters in SU(5).
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Why Quarks and Leptons Demand Different Symmetries: A Systematic $Z_3$ Froggatt-Nielsen Analysis
A Z3 Froggatt-Nielsen model with one flavon reproduces quark and charged lepton hierarchies but yields neutrino mass-squared ratios too small by two orders of magnitude and random PMNS angles.
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A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE
A non-holomorphic modular A4 linear seesaw model with six singlet fermions and one flavon reproduces observed neutrino mixing and predicts absolute mass and 0νββ ranges that DUNE and other experiments can test.
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Leptogenesis via Resonant Sequential Dominance and TBC3 Mixing in a Type-I Seesaw Model
Resonant Sequential Dominance with a new TBC3 mixing ansatz and an A4 Lagrangian can explain neutrino oscillations and the baryon asymmetry for a lightest right-handed neutrino mass of 0.13 to 230 TeV.
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A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures
A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.
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Light states in real 3HDMs with spontaneous CP violation and softly broken symmetries
In real 3HDMs with spontaneous CP violation and discrete symmetry on quartics, perturbativity bounds keep new scalars near the electroweak scale despite large quadratic terms.
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Two-sector leptogenesis in a two-Higgs-doublet model with spontaneous CP violation
The paper proposes an A4-flavored two-Higgs-doublet model with two-sector leptogenesis and reports that a few-GeV dark fermion gives ΩDM/Ωb ~ 5 for M1 ~ 10^10 GeV.
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Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry
An A4 modular linear-seesaw neutrino model is fitted with the ILA optimizer, and the fitted parameters agree with oscillation and cosmological bounds.
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