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

Abstract

For potentials with n-Higgs-boson doublets stability, electroweak symmetry breaking, and the stationarity equations are discussed in detail. This is done within the bilinear formalism which simplifies the investigation, in particular since irrelevant gauge degrees of freedom are systematically avoided. For the case that the potential leads to the physically relevant electroweak symmetry breaking the mass matrices of the physical Higgs bosons are given explicitly.

12 pages, generalization of the case of 3 doublets in arXiv:1408.6833 to the case of n doublets. Revised version with errors corrected with respect to the stability and stationarity equations for the case of the bilinear's matrix of rank 1

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• Stability and symmetry breaking in the general three-Higgs-doublet model
• Systematic construction of basis invariants in the 2HDM
• Spontaneous symmetry breaking in the $S_3$-symmetric scalar sector
• Gauged Inverse Seesaw from Dark Matter
• Algorithmic Boundedness-From-Below Conditions for Generic Scalar Potentials
• Vacuum Stability Conditions for Higgs Potentials with $SU(2{)}_L$ Triplets
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Theoretical constraints on the Higgs potential of the general $331$ model
• Muon Anomalous Magnetic Moment and Higgs Potential Stability in the 331 Model from $SU(6)$
• Computable conditions for order-2 $CP$ symmetry in NHDM potentials
• Generalised P and CP transformations in the 3-Higgs-doublet model
• Theoretical constraints on scalar parameters in the compact 341 model
• Representation-theoretical characterization of canonical custodial symmetry in NHDM potentials