Stability and symmetry breaking in the general three-Higgs-doublet model
M. Maniatis, O. Nachtmann

TL;DR
This paper analyzes the stability, symmetry breaking, and Higgs boson mass spectrum in the general three-Higgs-doublet model using bilinear formalism, providing explicit formulas for physical Higgs masses.
Contribution
It offers a detailed theoretical framework for understanding stability and symmetry breaking in the 3HDM, including explicit mass formulas for Higgs bosons.
Findings
Explicit Higgs mass formulas derived
Bilinear formalism simplifies 3HDM analysis
Conditions for electroweak symmetry breaking identified
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.
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