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Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle

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arxiv 1307.0710 v2 pith:Q53VBHTY submitted 2013-07-02 hep-ph

Stefan Antusch , Martin Holthausen , Michael A. Schmidt , Martin Spinrath This is my paper
classification hep-ph
keywords quarkstrongdiscretemassmatricesmodelproblemreal
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abstract

We present a solution to the strong CP problem based on spontaneous CP violation and discrete family symmetries. The model predicts in a natural way the almost right-angled quark unitarity triangle angle ($\alpha \simeq 90^\circ$) by making the entries of the quark mass matrices either real or imaginary. By this choice the determinants of the mass matrices are rendered real and hence the strong CP phase vanishes. We present a toy model for the quark sector that demonstrates the viability of our approach.

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Cited by 3 Pith papers

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

  1. The Very Nearly Right Theory of Flavor

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A systematic scan of all nine-link Yukawa textures shows the quark CP phase clusters at pi/8, pi/4, pi/2, 3pi/8, and yields precise, falsifiable predictions for the CKM unitarity triangle angles.

  2. 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...

  3. 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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