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.
Physical parameters and basis transformations in the Two-Higgs-Doublet model
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abstract
A direct connection between physical parameters of general Two-Higgs-Doublet Model (2HDM) potentials after electroweak symmetry breaking (EWSB) and the parameters that define the potentials before EWSB is established. These physical parameters, such as the mass matrix of the neutral Higgs bosons, have well defined transformation properties under basis transformations transposed to the fields after EWSB. The relations are also explicitly written in a basis covariant form. Violation of these relations may indicate models beyond 2HDMs. In certain cases the whole potential can be defined in terms of the physical parameters. The distinction between basis transformations and reparametrizations is pointed out. Some physical implications are discussed.
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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.
New fermion transformations and all-order renormalization-invariant parameter regions are identified for two-Higgs-doublet models including scalar-fermion interactions.
The r0 symmetry is preserved at one-loop in the r0-invariant two-Higgs Doublet Model if the UV cutoff squared transforms non-trivially under r0; the minimal model requires two real fields.
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 dark states.
citing papers explorer
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GOOFy-compatible 3HDMs and beyond
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.
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Systematic analysis of 3HDM symmetries
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.
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GOOFy fermions
New fermion transformations and all-order renormalization-invariant parameter regions are identified for two-Higgs-doublet models including scalar-fermion interactions.
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Imaginary scaling invariance of the one-loop effective potential
The r0 symmetry is preserved at one-loop in the r0-invariant two-Higgs Doublet Model if the UV cutoff squared transforms non-trivially under r0; the minimal model requires two real fields.
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Dark Matter and CP Violation in Some Symmetry-Constrained 3HDMs
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 dark states.