Symmetry and decoupling in multi Higgs models

Abstract

We study the scalar sector of the most general multi Higgs doublet model satisfying explicitly an exact symmetry. We prove that such a model will exhibit decoupling if and only if the vacuum also satisfies the same symmetry. This general property is also shown independently and explicitly for three Higgs doublet models, by considering in detail all symmetry-constrained models and their possible vacua. We also discuss some specific characteristics of different decoupling patterns.

arXiv comment12 pages

References in corpus (21)

• 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
• Theory and phenomenology of two-Higgs-doublet models
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Combined measurements of Higgs boson production and decay using up to $80$ fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}=$ 13 TeV collected with the ATLAS experiment
• Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Mass Matrix Models
• Jarlskog-like invariants for theories with scalars and fermions
• Impersonating the Standard Model Higgs Boson: Alignment without Decoupling
• Building and testing models with extended Higgs sectors
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Symmetry breaking patterns in 3HDM
• Structure of potentials with $N$ Higgs doublets
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• Nondecoupling of charged scalars in Higgs decay to two photons and symmetries of the scalar potential
• Constraining multi-Higgs flavour models
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and ${\mathbb{Z}}_2$ symmetry
• Cornering Spontaneous CP Violation with Charged-Higgs Searches
• Nondecoupling in Multi-Higgs doublet models

Cited by in corpus (10)

• Unitarity bounds for all symmetry-constrained 3HDMs
• DFSZ-Type Axions and Where to Find Them
• Exploring multi-Higgs models with softly broken large discrete symmetry groups
• Democratic three Higgs-doublet models: the custodial limit and wrong-sign Yukawa
• Fingerprinting the Type-Z three Higgs doublet models
• Diluting quark flavor hierarchies using dihedral symmetry
• Light states in real multi-Higgs models with spontaneous CP violation
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• Tagging ultra-boosted jets at FCC-hh using machine learning techniques
• Constraining the CP4-invariant three-Higgs-doublet model via top quark decays