Spontaneous CP violation in the 2HDM: physical conditions and the alignment limit

Abstract

For the general Two-Higgs-Doublet model, we present conditions for having spontaneous CP violation, in terms of physical masses and couplings. These relations involve the charged-Higgs mass, its cubic couplings with neutral scalars and quartic coupling, and become particularly simple in the alignment limit. In the simplified model with softly broken $Z_2$ symmetry, some deviation from alignment is required for spontaneous CP violation to be present.

22 pages

References in corpus (3)

• Consistency of the Two Higgs Doublet Model and CP violation in top production at the LHC
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data

Cited by in corpus (5)

• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• Vacuum stability conditions of the general two-Higgs-doublet potential
• Softly broken symmetries in the 2HDM -- an invariant formulation
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets
• CP violation in H^\pm \to W^\pm Z: A physical approach for the 2HDM