paper

Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation

arXiv:hep-ph/0406231 · doi:10.1016/j.physletb.2004.10.022

Abstract

We show that in two Higgs doublet models at tree-level the potential minimum preserving electric charge and CP symmetries, when it exists, is the global one. Furthermore, we derived a very simple condition, involving only the coefficients of the quartic terms of the potential, that guarantees spontaneous CP breaking.