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Solving the strong CP problem without axions

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arxiv 2406.01689 v2 pith:TP72RLC4 submitted 2024-06-03 hep-ph hep-th

Ferruccio Feruglio , Matteo Parriciatu , Alessandro Strumia , Arsenii Titov This is my paper · ORCID
classification hep-phhep-th
keywords flavourproblemstrongconditionsgenerallocalmodularsolution
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abstract

We formulate general conditions under which the strong CP problem is solved by spontaneous CP violation. Quark-mass matrix elements are polynomials in the CP-breaking order parameters, engineered such that their determinant is a real constant. This scheme permits only a limited number of textures. These conditions can be realized in supersymmetric theories with CP as an anomaly-free local flavour symmetry, suggesting a unified solution to the strong CP problem and the flavour puzzle. Our solution can be implemented using either modular invariance or a local U(1) symmetry. We present modular-invariant realizations where matter fields are assigned small modular weights $\pm2$ ($\pm1$), utilising higher levels $N=2$ ($N=3$). Heavy quarks are in general not required, but their presence allows for models where colored particles fill non-singlet representations of the flavour group.

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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. 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. Upper Bound on Parity Breaking Scale for Doublet WIMP Dark Matter

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In a Parity-symmetric extension of the Standard Model with doublet-pair WIMP dark matter, thermal relic abundance requires the Parity breaking scale to be below 25-60 TeV.

  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.

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