Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and ${\mathbb{Z}}_2$ symmetry

Abstract

In Two Higgs Doublet Models (2HDMs) shaped by some unbroken symmetry, imposing perturbativity requirements on the quartic couplings can imply that the allowed masses of all the fundamental scalars are bounded from above. This important property is analysed in detail for the only two realistic 2HDMs with an exact symmetry, the case with ${\mathbb{Z}}_2$ symmetry and the case with CP symmetry. It is also noticeable that one exception arises in each case: when the vacuum is assumed to respect the imposed symmetry, a decoupling regime can nevertheless appear without violating perturbativity requirements. In both models with an exact symmetry and no decoupling regime, soft symmetry breaking terms can however lead to a decoupling regime: the possibility that this regime might be unnatural, since it requires some fine tuning, is also analysed.

28 pages, 5 figures; version 2 with additional references, improved discussions, modified title, matches published version

References in corpus (15)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The oblique parameters in multi-Higgs-doublet models
• Models of Yukawa interaction in the two Higgs doublet model, and their collider phenomenology
• Constraining the Two-Higgs-Doublet-Model parameter space
• Nondecoupling of charged scalars in Higgs decay to two photons and symmetries of the scalar potential
• Flavour alignment in multi-Higgs-doublet models
• Generalized CP Invariance and the Yukawa sector of Two-Higgs Models
• Two-Higgs-Doublet Models with CP violation
• Spontaneous CP violation in the 2HDM: physical conditions and the alignment limit
• Complex CKM matrix, spontaneous CP violation and generalized $\mu$-$\tau$ symmetry
• Masses of physical scalars in two Higgs doublet models
• Nondecoupling in Multi-Higgs doublet models
• Spontaneous CP Violating Phase as The CKM Matrix Phase
• Spontaneous CP Violating Phase as the Phase in PMNS Matrix

Cited by in corpus (12)

• Electron and muon $g-2$ anomalies in general flavour conserving two Higgs doublets models
• Power-aligned 2HDM: a correlative perspective on $(g-2{)}_{e,\mu }$
• Muon and electron $g-2$ anomalies in a flavor conserving 2HDM with an oblique view on the CDF $M_W$ value
• Exploring multi-Higgs models with softly broken large discrete symmetry groups
• Symmetry and decoupling in multi Higgs models
• Vacuum stability conditions of the general two-Higgs-doublet potential
• The hidden side of scalar-triplet models with spontaneous CP violation
• Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential
• Light states in real multi-Higgs models with spontaneous CP violation
• Fine-Tuning in the 2HDM
• Spontaneous CP violation and $\mu -\tau$ symmetry in two-Higgs-doublet models with flavour conservation
• Constraining the CP4-invariant three-Higgs-doublet model via top quark decays