A 2HDM extended by a complex singlet uses tree-level MPP to motivate degenerate neutral Higgs masses, yielding viable DM phenomenology and a thermally induced strong first-order electroweak phase transition.
Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U
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abstract
In the Standard Model, custodial symmetry is violated by the hypercharge U(1) gauge interactions and the Yukawa couplings, while being preserved by the Higgs scalar potential. In the two-Higgs doublet model (2HDM), the generic scalar potential introduces new sources of custodial symmetry breaking. We obtain a basis-independent expression for the constraints that impose custodial symmetry on the 2HDM scalar potential. These constraints impose CP-conservation on the scalar potential and vacuum, and in addition add one extra constraint on the scalar potential parameters. We clarify the mass degeneracies of the 2HDM that arise as a consequence of the custodial symmetry. We also provide a computation of the "oblique" parameters (S, T, and U) for the most general CP-violating 2HDM in the basis-independent formalism. We demonstrate that the 2HDM contributions to T and U vanish in the custodial symmetry limit, as expected. Using the experimental bounds on S and T from precision electroweak data, we examine the resulting constraints on the general 2HDM parameter space.
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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.
An axion-like particle coupling induces sizable real and imaginary components in the tau EDM, with values potentially accessible at STCF and Belle II.
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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Two Higgs doublet model with a complex singlet scalar and Multi-critical Point Principle
A 2HDM extended by a complex singlet uses tree-level MPP to motivate degenerate neutral Higgs masses, yielding viable DM phenomenology and a thermally induced strong first-order electroweak phase transition.
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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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Complex $\tau$ Electric Dipole Moment from GeV-Scale New Physics
An axion-like particle coupling induces sizable real and imaginary components in the tau EDM, with values potentially accessible at STCF and Belle II.
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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.