CP properties of symmetry-constrained two-Higgs-doublet models
P.M. Ferreira, M. Maniatis, O. Nachtmann, Joao P. Silva

TL;DR
This paper systematically analyzes the CP properties of symmetry-constrained two-Higgs-doublet models, revealing conditions for CP conservation and spontaneous CP violation through symmetry breaking.
Contribution
It provides a comprehensive classification of CP properties in all six classes of symmetry-constrained two-Higgs-doublet models using the bilinear formalism.
Findings
Exact symmetry implies CP conservation.
Soft breaking can induce spontaneous CP violation in three classes.
Complete classification of CP properties for all symmetry classes.
Abstract
The two-Higgs-doublet model can be constrained by imposing Higgs-family symmetries and/or generalized CP symmetries. It is known that there are only six independent classes of such symmetry-constrained models. We study the CP properties of all cases in the bilinear formalism. An exact symmetry implies CP conservation. We show that soft breaking of the symmetry can lead to spontaneous CP violation (CPV) in three of the classes.
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