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Fermion Mass Hierarchies from Modular Symmetry

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arxiv 2002.00969 v2 pith:UMQWNWX4 submitted 2020-02-03 hep-ph

Simon J.D. King , Stephen F. King This is my paper · ORCID
classification hep-ph
keywords modularsymmetryfermionhierarchiesmassmechanismfieldslepton
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abstract

We show how quark and lepton mass hierarchies can be reproduced in the framework of modular symmetry. The mechanism is analogous to the Froggatt-Nielsen (FN) mechanism, but without requiring any Abelian symmetry to be introduced, nor any Standard Model (SM) singlet flavon to break it. The modular weights of fermion fields play the role of FN charges, and SM singlet fields with non-zero modular weight called weightons play the role of flavons. We illustrate the mechanism by analysing $A_4$ (modular level 3) models of quark and lepton (including neutrino) masses and mixing, with a single modulus field. We discuss two examples in some detail, both numerically and analytically, showing how both fermion mass and mixing hierarchies emerge from different aspects of the modular symmetry.

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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. 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.

  3. Unitarity triangle angles explained: a predictive new quark mass matrix texture

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A five-parameter quark mass matrix texture with the imposed ratio λu/λd = -i tan(π/8) fits the quark mass ratios and CKM observables and encodes the unitarity triangle angles α≈π/2 and β≈π/8.

  4. Neutrino mass genesis in Scoto-Inverse Seesaw with Modular $A_4$

    hep-ph 2024-11 reject novelty 4.0 of 10

    The modular A4 scotogenic inverse seesaw model can fit normal-ordering neutrino data with a TeV-scale fermion dark matter candidate, but the stated parameter choice m_etaR = m_etaI makes the radiative neutrino mass vanish.

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