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CP violation conditions in N-Higgs-doublet potentials
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CP violation conditions in N-Higgs-doublet potentials
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Conditions for CP violation in the scalar potential sector of general N-Higgs-doublet models (NHDMs) are analyzed from a group theoretical perspective. For the simplest two-Higgs-doublet model (2HDM) potential, a minimum set of conditions for explicit and spontaneous CP violation is presented. The conditions can be given a clear geometrical interpretation in terms of quantities in the adjoint representation of the basis transformation group for the two doublets. Such conditions depend on CP-odd pseudoscalar invariants. When the potential is CP invariant, the explicit procedure to reach the real CP-basis and the explicit CP transformation can also be obtained. The procedure to find the real basis and the conditions for CP violation are then extended to general NHDM potentials. The analysis becomes more involved and only a formal procedure to reach the real basis is found. Necessary conditions for CP invariance can still be formulated in terms of group invariants: the CP-odd generalized pseudoscalars. The problem can be completely solved for three Higgs-doublets.
Forward citations
Cited by 4 Pith papers
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Fate of Metastable Vacua in the Type-II Two-Higgs Doublet Model
In the Type-II two-Higgs-doublet model, once next-to-leading-order unitarity, perturbativity and current data are imposed, the electroweak vacuum remains the global minimum among neutral vacua at tree level and one lo...
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The Hilbert Series and the Flavor Invariants of the 3HDM
The full multigraded Hilbert series of the 3HDM is computed in closed form, and a basis of SU(3)-invariant operators is constructed up to cubic order in the quartic couplings.
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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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The Hilbert Series and the Flavor Invariants of the 3HDM
Hilbert series for 3HDM global symmetries is computed with explicit invariants constructed up to cubic order.
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