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A note on the predictions of models with modular flavor symmetries

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arxiv 1909.06910 v1 pith:IZKSQF7F submitted 2019-09-15 hep-ph hep-th

Mu-Chun Chen , Saul Ramos-Sanchez , Michael Ratz This is my paper · ORCID
classification hep-phhep-th
keywords symmetriesmodelsadditionalahlerflavormodularpotentialpredictions
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Models with modular flavor symmetries have been thought to be highly predictive. We point out that these predictions are subject to corrections from non-holomorphic terms in the Lagrangean. Specifically, in the models discussed in the literature, the K\"ahler potential is not fixed by the symmetries, for instance. The most general K\"ahler potential consistent with the symmetries of the model contains additional terms with additional parameters, which reduce the predictive power of these constructions. We also comment on how one may conceivably retain the predictivity.

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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. 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.

  2. Flavor Symmetries and Winding Modes

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.

  3. Modular Symmetry with Weighton

    hep-ph 2025-05 conditional novelty 5.0 of 10

    A systematic classification of modular weighton models at levels 3, 4 and 5, with two T' benchmark fits that reproduce quark and lepton hierarchies, each requiring one admitted cancellation.

  4. Goofy is the new Normal

    hep-ph 2025-04 conditional novelty 5.0 of 10

    Goofy transformations define new renormalization-group-stable parameter relations in the two-Higgs-doublet model that are not ordinary symmetries.

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