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 analyze the possibility of charge or spontaneous $CP$ breaking by studying the relative depth of the potential in each of the possible stationary points.
No takes yet. Share an insight, caveat, or question.
Barroso et al. (2006) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: