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New Symmetries of the Two-Higgs-Doublet Model

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arxiv 2306.02410 v2 pith:O56IRBHN submitted 2023-06-04 hep-ph

Pedro M. Ferreira , Bohdan Grzadkowski , Odd Magne Ogreid , Per Osland This is my paper
classification hep-ph
keywords symmetriesmodelbreakinggaugegroupinvariantscalarsome
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The Two Higgs Doublet Model invariant under the gauge group SU(2)xU(1) is known to have six additional global discrete or continuous symmetries of its scalar sector. We have discovered regions of parameter space of the model which are basis and renormalization group invariant to all orders of perturbation theory in the scalar and gauge sectors, but correspond to none of the hitherto considered symmetries. We therefore identify seven new symmetries of the model and discuss their phenomenology. Soft symmetry breaking is required for some of these models so that electroweak symmetry breaking can occur. We show that, at least at the two-loop level, it is possible to extend some of these symmetries to include fermions.

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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 -- a systematic approach

    hep-ph 2026-02 conditional novelty 6.0 of 10

    GOOFy symmetry imposes parameter relations on scalar and fermion Lagrangians that stay fixed under renormalization-group running up to two and three loops.

  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. The goofy-symmetric Standard Model and the Hierarchy Problem

    hep-ph 2025-07 reject novelty 6.0 of 10

    The Standard Model action is invariant under goofy transformations when the Higgs mass term vanishes, offering a new symmetry-based protection of the Higgs mass and generating electroweak symmetry breaking through spo...

  4. Charged Higgs Decay to Bottom and Charm Quarks from $Z_3$-Flavored Two Higgs Doublet Models

    hep-ph 2026-02 conditional novelty 5.0 of 10

    A Z3-flavored two-Higgs-doublet model admits benchmark points with enhanced H±→cb decay that match the ATLAS 130 GeV excess and could be probed at the LHeC.

  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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