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Softly Broken A₄ Symmetry for Nearly Degenerate Neutrino Masses

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arxiv hep-ph/0106291 v1 pith:IP2GOODS submitted 2001-06-26 hep-ph

Softly Broken A₄ Symmetry for Nearly Degenerate Neutrino Masses

classification hep-ph
keywords massesneutrinosymmetrydegeneratemodelnearlybelowbreaking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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  4. Why Quarks and Leptons Demand Different Symmetries: A Systematic $Z_3$ Froggatt-Nielsen Analysis

    hep-ph 2026-03 unverdicted novelty 6.0

    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.

  5. A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE

    hep-ph 2026-02 conditional novelty 6.0

    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.

  6. A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures

    hep-ph 2026-07 conditional novelty 5.0

    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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    hep-ph 2026-05 unverdicted novelty 4.0

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