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Non-invertible symmetry as an axion-less solution to the strong CP problem

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arxiv 2505.05142 v1 pith:GBEJDUCT submitted 2025-05-08 hep-ph hep-th

classification hep-phhep-th
keywords non-invertibleproblemquarkstrongsymmetryassumeaxionaxion-less
verification ladder T0 review T1 audit T2 compute T3 formal
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We use a non-invertible symmetry to construct a three-zero texture for the down-type quark mass matrix, which can resolve the strong CP problem without invoking the axion, in four-dimensional spacetime with three quark families in QCD. We assume CP invariance at the fundamental high-energy scale.

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Cited by 9 Pith papers

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

  1. The absence of global anomalies of CP symmetry

    hep-ph 2026-02 conditional novelty 7.0 of 10

    Gauged CP symmetry in four dimensions introduces no new global anomalies for connected, simply-connected gauge groups; the standard model matter content is anomaly-free under a gauged CP.

  2. Radiative lepton model in a non-invertible fusion rule

    hep-ph 2025-10 conditional novelty 6.0 of 10

    A radiative lepton mass model with a Z2-gauged Z5 non-invertible fusion rule can fit neutrino oscillation data and predicts charged-lepton EDMs that indirectly bound 0νββ to ≲28–33.5 meV.

  3. 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...

  4. A natural realization of inverse seesaw model in a non-invertible selection rule

    hep-ph 2025-08 unverdicted novelty 6.0 of 10

    A Z3 Tambara-Yamagami fusion rule is used to build an inverse seesaw model with radiatively generated Majorana masses and a dark matter candidate, fitted to neutrino oscillation data.

  5. A radiative lepton model in a non-invertible fusion rule

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Electron and muon masses are generated at one loop through loop-level breaking of the Ising fusion rule, while neutrino masses arise from an unbroken Z2-like sector that stabilizes loop particles.

  6. On discrete gauging and non-invertible selection rules

    hep-th 2025-07 conditional novelty 6.0 of 10

    Fields labeled by conjugacy classes of Z3- and S3-gauged finite groups obey non-invertible fusion selection rules with residual automorphism symmetries.

  7. Matter symmetries in supersymmetric standard models from non-invertible selection rules

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Non-invertible fusion rules from Z2-gauged ZM symmetries reproduce the operator selection of R-parity, baryon triality, and proton hexality in the MSSM, but cannot forbid the Weinberg operator.

  8. 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.

  9. Three-loop induced neutrino mass model in a non-invertible symmetry

    hep-ph 2025-07 reject novelty 4.0 of 10

    A Ma-model extension with a non-invertible symmetry generates neutrino masses at three loops and yields S0 or eta_R dark matter candidates, with scanned parameter regions shown.

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