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Minkowski space structure of the Higgs potential in 2HDM
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The Higgs potential of 2HDM keeps its generic form under the group of transformation GL(2,C), which is larger than the usually considered reparametrization group U(2). This reparametrization symmetry induces the Minkowski space structure in the orbit space of 2HDM. Exploiting this property, we present a geometric analysis of the number and properties of stationary points of the most general 2HDM potential. In particular, we prove that charge-breaking and neutral vacua never coexist in 2HDM and establish conditions when the most general explicitly CP-conserving Higgs potential has spontaneously CP-violating minima. Our analysis avoids manipulation with high-order algebraic equations.
Forward citations
Cited by 11 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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Strong First-Order Electroweak Phase Transitions and Gravitational Waves in the Normal Two-Higgs-Doublet Model: A Comparative Study of the Four Yukawa Types and Thermal Resummation Schemes
In the Normal 2HDM, SFOEWPTs are single-step and alignment-favoring across all four Yukawa types, yet Parwani versus Arnold–Espinosa resummation changes the viable heavy-mass range from ~1.6 TeV to ≲800 GeV and leaves...
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Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
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The Hilbert Series and the Flavor Invariants of the 3HDM
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Systematic analysis of 3HDM symmetries
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Novel probes for electron-muon flavor violation from exotic Higgs decays
Novel multilepton signatures from Higgs decays to a light pseudoscalar decaying to e-mu pairs in type-III 2HDM can set stronger limits on LFV couplings than low-energy experiments.
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Domain walls in the N2HDM can erase the barrier around the electroweak vacuum, making long-lived metastable vacua decay classically and excluding parameter points previously considered viable.
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On vacua and bounded masses in the general 2HDM
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Intrinsic Properties of Large CP Violation in the Complex Two-Higgs-Doublet Model
Global scans of complex 2HDM show Type-I models maximize gauge CPV near light-Higgs degeneracy with high eEDM, Type-II suppress gauge CPV but permit large Yukawa CPV and low eEDM via cancellations, plus hidden CPV in ...
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Dark Matter and CP Violation in Some Symmetry-Constrained 3HDMs
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