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Finite modular symmetries and the strong CP problem

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arxiv 2404.08032 v3 pith:B37BQTNN submitted 2024-04-11 hep-ph hep-th

J. T. Penedo , S. T. Petcov This is my paper · ORCID
classification hep-phhep-th
keywords modularfiniteproblemquarkstrongallowedangleaxions
verification ladder T0 review T1 audit T2 compute T3 formal

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Recently, it was shown that modular symmetry may solve the strong CP problem without axions, by producing a vanishing QCD angle while generating a large quark CP violation phase. We extend this framework to finite modular groups, systematically identifying the allowed mass textures. We find quark fields must furnish 1D representations and scan the minimal model landscape.

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Forward citations

Cited by 7 Pith papers

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

  1. Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds

    hep-th 2025-09 conditional novelty 6.0 of 10

    Non-Abelian orbifolds in heterotic string theory produce non-invertible coupling selection rules, since twisted sectors are labeled by conjugacy classes whose products contain multiple classes and yield characteristic...

  2. Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model

    hep-ph 2025-08 unverdicted novelty 6.0 of 10

    A non-invertible symmetry imposes a three-zero down-quark texture so spontaneous CP breaking gives the CKM phase without producing a QCD theta term.

  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. Solving the strong CP problem in string-inspired theories with modular invariance

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Modular invariance can suppress the QCD theta angle to zero in string-inspired supersymmetric models with positive modular weights and non-trivial gauge kinetic functions, while the CKM phase stays large.

  5. Large and small hierarchies from finite modular symmetries

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Using finite modular symmetries, radiative stabilization of multiple moduli can simultaneously generate large and small hierarchies, such as Im τ1 ≈ 3 and Im τ2 ≈ 15.

  6. CPon Dark Matter

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A light scalar from spontaneous CP violation, the CPon, can be a viable dark matter candidate with a mass between about 10 meV and 1 MeV and a suppression scale above 10^12 GeV.

  7. Solving the strong CP problem

    hep-ph 2025-01 conditional novelty 3.0 of 10

    A spontaneously broken modular CP symmetry can force the quark mass determinant to be real, solving the strong CP problem without an axion.

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