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.
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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.
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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.