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CP violation conditions in N-Higgs-doublet potentials

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arxiv hep-ph/0605153 v3 pith:QL3JCZYB submitted 2006-05-14 hep-ph hep-thmath-phmath.MP

C. C. Nishi This is my paper · ORCID
classification hep-phhep-thmath-phmath.MP
keywords conditionsviolationbasisexplicitgrouppotentialprocedurereal
verification ladder T0 review T1 audit T2 compute T3 formal
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Conditions for CP violation in the scalar potential sector of general N-Higgs-doublet models (NHDMs) are analyzed from a group theoretical perspective. For the simplest two-Higgs-doublet model (2HDM) potential, a minimum set of conditions for explicit and spontaneous CP violation is presented. The conditions can be given a clear geometrical interpretation in terms of quantities in the adjoint representation of the basis transformation group for the two doublets. Such conditions depend on CP-odd pseudoscalar invariants. When the potential is CP invariant, the explicit procedure to reach the real CP-basis and the explicit CP transformation can also be obtained. The procedure to find the real basis and the conditions for CP violation are then extended to general NHDM potentials. The analysis becomes more involved and only a formal procedure to reach the real basis is found. Necessary conditions for CP invariance can still be formulated in terms of group invariants: the CP-odd generalized pseudoscalars. The problem can be completely solved for three Higgs-doublets.

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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. Fate of Metastable Vacua in the Type-II Two-Higgs Doublet Model

    hep-ph 2026-07 conditional novelty 6.0 of 10

    In the Type-II two-Higgs-doublet model, once next-to-leading-order unitarity, perturbativity and current data are imposed, the electroweak vacuum remains the global minimum among neutral vacua at tree level and one lo...

  2. 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.

  3. 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.

  4. Dark Matter and CP Violation in Some Symmetry-Constrained 3HDMs

    hep-ph 2025-06 conditional novelty 4.0 of 10

    S3-symmetric three-Higgs-doublet models allow dark matter in a 29-42 GeV window, exclude heavy candidates above 500 GeV, and admit MeV-scale light scalars, while continuous-symmetry variants produce mass-degenerate da...

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