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

By P. Ferreira, Rui Santos, A. Barroso. 2004

174 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9d478b4fa61b759fc0691661bd006157c38e4e14

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In Nuclear and High Energy Physics

1. Igor P. Ivanov
2. M. Seniuch
3. L. Fromme
4. S. Huber
5. T. Konstandin

Citations in the corpus

• Baryogenesis in the Two-Higgs Doublet Model (2006, background): “It has been shown that in this case no charge breaking minima exist, provided the charged Higgs mass squared is positive [27]1.”
• Metastability bounds on the two Higgs doublet model (2013, unknown): “A similar result is valid for the comparison of a normal and CP stationary points: the difference in depths of the potentials is given by [24, 25]”
• Building and testing models with extended Higgs sectors (2017, background): “This second minimum, even if it exists, cannot be charge-breaking: as shown in [215, 216], the presence of a neutral minimum makes any possible charge-breaking extremum a saddle point.”