Stability and symmetry breaking in the general three-Higgs-doublet model

Abstract

Stability, electroweak symmetry breaking, and the stationarity equations of the general three-Higgs-doublet model (3HDM) where all doublets carry the same hypercharge are discussed in detail. Employing the bilinear formalism the study of the 3HDM potential turns out to be straightforward. For the case that the potential leads to the physically relevant electroweak symmetry breaking we present explicit formulae for the masses of the physical Higgs bosons.

21 pages. Revised version with errors corrected with respect to the stability and stationarity equations for the case of the bilinear's matrix of rank 1. Ensueing errors in Chapter 7 and appendix B are also corrected

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Cited by in corpus (11)

• Symmetry breaking patterns in 3HDM
• Constraints on Parameter Space from Perturbative Unitarity in Models with Three Scalar Doublets
• Recognizing symmetries in 3HDM in basis-independent way
• Unitarity bounds for all symmetry-constrained 3HDMs
• Vacuum Stability Conditions for Higgs Potentials with $SU(2{)}_L$ Triplets
• Slight excess at 130 GeV in search for a charged Higgs boson decaying to a charm quark and a bottom quark at the Large Hadron Collider
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Systematic analysis of 3HDM symmetries
• A Scotogenic Model as a Prototype for Leptogenesis with One Single Gauge Singlet
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry