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$A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry

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arxiv 1909.05139 v3 pith:6TKTFU5E submitted 2019-09-09 hep-ph

Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi This is my paper
classification hep-ph
keywords modulusmodelstabilizationsymmetryflavorleptonmodularangles
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the modulus stabilization in an $A_4$ model whose $A_4$ flavor symmetry is originated from the $S_4$ modular symmetry. We can stabilize the modulus so that the $A_4$ invariant superpotential leads to the realistic lepton masses and mixing angles. We also discuss the phenomenological aspect of the present model as a consequence of the modulus stabilization.

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Cited by 4 Pith papers

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

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

    hep-ph 2026-02 conditional novelty 6.0 of 10

    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.

  2. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.

  3. Modular Flavor Symmetries and Fermion Mass Hierarchies

    hep-ph 2025-06 conditional novelty 6.0 of 10

    In modular flavor models, fermion mass hierarchies require the modulus to sit near the critical points i, i∞, or ω; the paper classifies the near-critical mass patterns for reducible 2⊕1 matter assignments.

  4. Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry

    hep-ph 2025-08 reject novelty 3.0 of 10

    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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