Stability of the normal vacuum in multi-Higgs-doublet models

Abstract

We show that the vacuum structure of a generic multi-Higgs-doublet model shares several important features with the vacuum structure of the two and three Higgs-doublet model. In particular, one can still define the usual charge breaking, spontaneous CP breaking and normal (charge and CP preserving) stationary points. We analyse the possibility of charge or spontaneous CP breaking, by studying the relative depth of the potential in each of the possible stationary points.

arXiv comment21 pages

References in corpus (7)

• Basis-independent methods for the two-Higgs-doublet model
• Jarlskog-like invariants for theories with scalars and fermions
• Fundamental CP-violating quantities in a SU(2)$\otimes$U(1) model with many Higgs doublets
• Conditions for CP-Violation in the General Two-Higgs-Doublet Model
• Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation
• CP-odd invariants in models with several Higgs doublets
• Charge and CP symmetry breaking in two Higgs doublet models

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