Tree-Level Vacuum Stability in Multi Higgs Models

Abstract

In the most general model with two Higgs doublets, if a minimum that preserves the $U(1{)}_{em}$ symmetry exists, then charge breaking (CB) minima cannot occur. The depth of the potential at a stationary point that breaks CB or CP, relative to the $U(1{)}_{em}$ preserving minimum, is proportional to the squared mass of the charged or pseudoscalar Higgs, respectively.

Comments: Talk presented at the International Europhysics Conference on High Energy Physics, July 21st - 27th 2005, Lisboa, Portugal