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Recognizing symmetries in 3HDM in basis-independent way

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arxiv 1903.11110 v1 pith:5C3WR3SJ submitted 2019-03-26 hep-ph

Ivo de Medeiros Varzielas , Igor P. Ivanov This is my paper · ORCID
classification hep-ph
keywords scalarsymmetrybasis-independentsectorconditionsgroupsrealizablerecognizing
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Higgs doublets may come in three generations. The scalar sector of the resulting three-Higgs-doublet model (3HDM) may be constrained by global symmetry groups $G$ leading to characteristic phenomenology. There exists the full list of symmetry groups $G$ realizable in the 3HDM scalar sector and the expressions for $G$-symmetric scalar potentials written in special bases where the generators of $G$ take simple form. However recognizing the presence of a symmetry in a generic basis remains a major technical challenge, which impedes efficient exploration of the 3HDM parameter space. In this paper, we solve this problem using the recently proposed approach, in which basis-independent conditions are formulated as relations among basis-covariant objects. We develop the formalism and derive basis-independent necessary and sufficient conditions for the 3HDM scalar sector to be invariant under each of the realizable symmetry group. We also comment on phenomenological consequences of these results.

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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. 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. 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.

  4. 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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