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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 5 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. 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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