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Classifying Accidental Symmetries in Multi-Higgs Doublet Models

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arxiv 1912.00887 v3 pith:ONG3CYMG submitted 2019-12-02 hep-ph

Neda Darvishi , Apostolos Pilaftsis This is my paper · ORCID
classification hep-ph
keywords symmetriesaccidentaldoubletpotentialhiggsmodelmodelsnumber
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The potential of $n$-Higgs Doublet Models ($n$HDMs) contains a large number of SU(2)$_L$-preserving accidental symmetries as subgroups of the symplectic group Sp(2$n)$. To classify these, we introduce prime invariants and irreducible representations in bilinear field space that enable us to explicitly construct accidentally symmetric $n$HDM potentials. We showcase the classifications of symmetries and present the relationship among the theoretical parameters of the scalar potential for; (i) the Two Higgs Doublet Model (2HDM) and (ii) the Three Higgs Doublet Model (3HDM). We recover the maximum number of $13$ accidental symmetries for the 2HDM potential and for the first time, we present the complete list of $40$ accidental symmetries for the 3HDM potential.

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Cited by 7 Pith papers

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

  1. GOOFy-compatible 3HDMs and beyond

    hep-ph 2026-08 conditional novelty 7.0 of 10

    A GOOFy-compatible quadratic sector requires a sign character realized in R*otimesR, and the RG stability of the 2HDM r0 relation is a unique SU(2) accident.

  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. Emergent symmetry in a two-Higgs-doublet model from quantum information and nonstabiliserness

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Imposing magic conservation, equivalent to commutativity of the initial density matrix and the T-matrix, in 2-to-2 two-Higgs-doublet scattering yields SO(8) for arbitrary initial states and SU(2)_R for definite-isospi...

  4. Domain Walls from $\Sigma(36 \times 3)$, $\Delta(54)$ and $\Delta(27)$ potentials

    hep-ph 2026-03 conditional novelty 5.0 of 10

    Degenerate vacua of Δ(27)/Δ(54)/Σ(36×3) scalar potentials give rise to one or two distinct domain-wall types depending on which orbits merge under CP or enlarged symmetries.

  5. Goofy is the new Normal

    hep-ph 2025-04 conditional novelty 5.0 of 10

    Goofy transformations define new renormalization-group-stable parameter relations in the two-Higgs-doublet model that are not ordinary symmetries.

  6. 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...

  7. 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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