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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

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

classification hep-ph
keywords quarkstrongdiscretemassmatricesmodelproblemreal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. The Very Nearly Right Theory of Flavor

    hep-ph 2026-07 conditional novelty 6.0

    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.