A spurion-field approach using scale-invariant directions and non-overlapping symmetries constructs all-loop RGIs for bilinear operators in multi-scalar potentials.
Ivanov,Minkowski space structure of the Higgs potential in 2HDM,Phys
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abstract
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.
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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.
New fermion transformations and all-order renormalization-invariant parameter regions are identified for two-Higgs-doublet models including scalar-fermion interactions.
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 the alignment limit via heavy-Higgs mixing angle alpha3.
The Aligned 2HDM supports strong first-order electroweak phase transitions that yield LISA-detectable gravitational waves together with LHC-accessible signals from additional neutral and charged Higgs states.
citing papers explorer
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Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
A spurion-field approach using scale-invariant directions and non-overlapping symmetries constructs all-loop RGIs for bilinear operators in multi-scalar potentials.
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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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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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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 the alignment limit via heavy-Higgs mixing angle alpha3.
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Electro-Weak Phase Transitions and Collider Signals in the Aligned 2-Higgs Doublet Model
The Aligned 2HDM supports strong first-order electroweak phase transitions that yield LISA-detectable gravitational waves together with LHC-accessible signals from additional neutral and charged Higgs states.