A simple method to detect spontaneous CP violation in multi-Higgs models

  • O.M. Ogreid
  • P. OslandEmail author
  • M.N. Rebelo
Open Access
Regular Article - Theoretical Physics


For models with several Higgs doublets we present an alternative method to the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not CP is spontaneously violated in the Higgs potential. The previous method is powerful and rigorous. It requires the identification of a matrix U corresponding to a symmetry of the Lagrangian and verifying a simple relation involving the vacuum expectation values. The nonexistence of such a matrix signals spontaneous CP violation. This approach may be far from trivial as complexity grows with the number of Higgs doublets. In such cases it may turn out to be easier to analyse the potential by going to the so-called Higgs basis. The transformation to the Higgs basis is straightforward once the vacuum expectation values are known. The method proposed in this work is also powerful and rigorous and can be particularly useful to analyse models with more than two Higgs doublets and with continuous symmetries.


Beyond Standard Model CP violation Higgs Physics 


Open Access

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Western Norway University of Applied SciencesBergenNorway
  2. 2.Department of Physics and TechnologyUniversity of BergenBergenNorway
  3. 3.Centro de Física Teórica de Partículas — CFTP and Departamento de FísicaInstituto Superior Técnico — IST, Universidade de LisboaLisboaPortugal
  4. 4.Theoretical Physics Department, CERNGeneva 23Switzerland

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