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A minimal modular invariant neutrino model

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arxiv 2211.04546 v1 pith:36DWGQL2 submitted 2022-11-08 hep-ph

classification hep-ph
keywords modelmodularneutrinoparametersleptonmassesminimalmodulus
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abstract

We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The neutrino masses are predicted to be normal ordering, the atmospheric angle $\theta_{23}$ is quite close to maximal value and the Dirac CP phase $\delta_{CP}$ is about $1.34\pi$. We also study the soft supersymmetry breaking terms due to the modulus $F$-term in this minimal model, which are constrained to be the non-holomorphic modular forms. The radiative lepton flavor violation process $\mu\to e\gamma$ is discussed.

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Cited by 2 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. 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.

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