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Spontaneous CP violation and partially broken modular flavor symmetries

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arxiv 2405.18813 v2 pith:SGJEWEFJ submitted 2024-05-29 hep-ph hep-th

Tetsutaro Higaki , Tatsuo Kobayashi , Kaito Nasu , Hajime Otsuka This is my paper · ORCID
classification hep-phhep-th
keywords modularviolationspontaneousmoduliflavorinvariantbreakingbreakings
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the realization of spontaneous CP violation through moduli stabilization. In modular flavor models, the source of CP violation is the vacuum expectation values of the complex structure moduli of toroidal compact space. We demonstrate that the combined effects of Type IIB flux compactifications with modular invariant couplings between the moduli and matter fields can induce spontaneous CP violation without or with supersymmetry breaking. Furthermore, some general properties of CP and modular invariant scalar potentials are presented. It is found that certain modifications or partial breakings of modular symmetry are useful in generating spontaneous CP violation.

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Cited by 2 Pith papers

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

  1. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.

  2. 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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