Vacuum structure of the ${\mathbb{Z}}_2$ symmetric Georgi-Machacek model

Abstract

We discuss the vacuum structure of a version of the Georgi-Machecek model with an exact ${\mathbb{Z}}_2$ symmetry acting on the triplet fields. Besides the usual custodial-symmetric model, with $\rho =1$ at tree-level, a model with a dark matter candidate is also viable. The other phases of the model lead to electric charge breaking, a wrong pattern of electroweak symmetry breaking or to $\rho \ne 1$ at tree-level. We derive conditions to have an absolute minimum in each of the two viable phases, the custodial and the dark matter phases.

22 pages

References in corpus (15)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• The decoupling limit in the Georgi-Machacek model
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• Fingerprinting non-minimal Higgs sectors
• Symmetry breaking patterns in 3HDM
• Neutral minima in two-Higgs doublet models
• Dark Matter in Inert Triplet Models
• Novel Constraint on Parameter Space of the Georgi-Machacek Model by Current LHC Data
• Higgs couplings in a model with triplets
• Structure of potentials with $N$ Higgs doublets
• Properties of the general NHDM. I. The orbit space
• A new type of CP symmetry, family replication and fermion mass hierarchies
• Physical parameters and basis transformations in the Two-Higgs-Doublet model
• Real singlet scalar dark matter extension of the Georgi-Machacek model
• The vacuum structure of the Higgs complex singlet-doublet model

Cited by in corpus (1)

• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets