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.
Fundamental CP-violating quantities in a SU(2)$ \otimes $U(1) model with many Higgs doublets
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abstract
We consider a SU(2)$ \otimes $U(1) gauge theory with many scalar doublets, but without fermions. We devise a systematic method of constructing quantities which are invariant under changes of basis of the scalar fields, but acquire a minus sign under a general CP transformation. Those quantities provide a basis-independent way of checking for the existence of CP violation.
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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.