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arxiv 1806.11040 v2 pith:WGFMMDSH submitted 2018-06-28 hep-ph

Lepton Masses and Mixing from Modular S₄ Symmetry

classification hep-ph
keywords modularleptonmassesinvarianceminimalmixingmodelssymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group $\Gamma_4 \simeq S_4$ and focus on the minimal scenario where the expectation value of the modulus is the only source of symmetry breaking, such that no flavons need to be introduced. After constructing a basis for the lowest weight modular forms, we build two minimal models, one of which successfully accommodates charged lepton masses and neutrino oscillation data, while predicting the values of the Dirac and Majorana CPV phases.

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Cited by 6 Pith papers

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

  1. Finite modular Coleman-Weinberg inflation

    hep-ph 2026-07 unverdicted novelty 6.0

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    hep-ph 2026-05 unverdicted novelty 6.0

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  3. 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.

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    hep-th 2026-05 unverdicted novelty 5.0

    Incomplete zero-mode multiplets under Scherk-Schwarz phases in magnetized compactifications violate modular symmetry as a group but retain control over couplings via full modular forms.

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    A two-Higgs-doublet model with SU(2)-based marginal operators produces unavoidable cyclic RG flows, pseudo-unitary behavior below pair-production threshold, and Russian Doll VEVs whose period is fixed by the Koide for...