2005/07/31 by A. Barroso, P. M. Ferreira, Rui Santos +1 · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Geometry #Higgs boson #Higgs field #Mathematical analysis #Mathematics #Maxima and minima #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Point particle #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #hep-ph
paper · pdf · doi:10.1016/j.physletb.2005.11.031
published as Phys.Lett. B632 (2006) 684-687
arxiv created 2005/11/07 · openalex publication_date 2005/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that, for the most generic model with two Higgs doublets possessing a minimum that preserves the U(1)em symmetry, charge breaking (CB) cannot occur. If CB does not occur, the potential could have two different minima, and there is in principle no general argument to show which one is the deepest. 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.