CP properties of symmetry-constrained two-Higgs-doublet models

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.

14 pages, 2 tables, revised version adapted to the journal publication

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• Abelian symmetries in the two-Higgs-doublet model with fermions
• One-loop contributions to neutral minima in the inert doublet model
• Basis-independent treatment of the complex 2HDM
• Systematic construction of basis invariants in the 2HDM
• The vacuum structure of the Higgs complex singlet-doublet model
• Basis-invariant conditions for CP symmetry of order 4
• A natural mechanism for approximate Higgs alignment in the 2HDM
• Quark mixing in an $S_3$ symmetric model with two Higgs doublets
• Symmetries of the 2HDM: an invariant formulation and consequences
• Vacuum structure of the ${\mathbb{Z}}_2$ symmetric Georgi-Machacek model
• Symmetries and renormalisation in two-Higgs-doublet models
• Stability of neutral minima against charge breaking in the Higgs triplet model
• On the systematic construction of basis invariants
• The hidden side of scalar-triplet models with spontaneous CP violation
• Symmetries for the 4HDM. II. Extensions by rephasing groups
• Generalised P and CP transformations in the 3-Higgs-doublet model
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets