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Basis-invariant conditions for CP symmetry of order 4

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arxiv 1810.13396 v1 pith:KXL56Y4I submitted 2018-10-31 hep-ph

Igor P. Ivanov , Celso C. Nishi , Joao P. Silva , Andreas Trautner This is my paper · ORCID
classification hep-ph
keywords basis-invariantsymmetryconditionscriteriondecideorderwhetheradditional
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Three-Higgs-doublet models (3HDM) allow for a novel, physically distinct form of CP invariance: CP symmetry of order 4 (CP4). Due to the large basis change freedom in 3HDM, it is imperative to recognize the presence of a possibly hidden CP4 in a basis-invariant way. In the present work, we solve this problem and establish basis-invariant necessary and sufficient conditions for a 3HDM to possess a CP4 symmetry. We also derive a basis-invariant criterion to decide whether or not a CP4 symmetric 3HDM possesses any additional CP symmetry, as well as a criterion to decide whether or not CP4 is spontaneously broken.

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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 Hilbert Series and the Flavor Invariants of the 3HDM

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The full multigraded Hilbert series of the 3HDM is computed in closed form, and a basis of SU(3)-invariant operators is constructed up to cubic order in the quartic couplings.

  2. Systematic analysis of 3HDM symmetries

    hep-ph 2025-12 conditional novelty 6.0 of 10

    A systematic catalogue of realisable Higgs-family, general-CP, and GOOFy/T-GOOFy symmetries in three-Higgs-doublet models, with new invariant potentials and a corrected U(1)◦V4 group structure.

  3. Flavor Constraints in a Generational Three Higgs Doublet Model

    hep-ph 2025-02 conditional novelty 5.0 of 10

    A generational three-Higgs-doublet model is constructed, and flavor constraints show that its additional Higgs bosons can be as light as about 1.5 TeV if the only flavor violation is the minimal amount needed to repro...

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