Metastability bounds on the two Higgs doublet model

By A. Barroso, P. Ferreira, Igor P. Ivanov, Rui Santos. Journal of High Energy Physics, 2013

195 citations recorded by the source corpus.

In the two Higgs doublet model, there is the possibility that the vacuum where the universe resides in is metastable. We present the tree-level bounds on the scalar potential parameters which have to be obeyed to prevent that situation. Analytical expressions for those bounds are shown for the most used potential, that with a softly broken Z2 symmetry. The impact of those bounds on the model’s phenomenology is discussed in detail, as well as the importance of the current LHC results in determining whether the vacuum we live in is or is not stable. We demonstrate how the vacuum stability bounds can be obtained for the most generic CP-conserving potential, and provide a simple method to implement them.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dfb9fa4b78782b1e1a0d8ca99bac3b27876f8f11

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In Nuclear and High Energy Physics

1. M. Bauer
2. Felix Kahlhoefer
3. M. Wiebusch
4. S. Vempati
5. K. M. Patel
6. U. Haisch
7. Igor P. Ivanov
8. M. Passera

Citations in the corpus

• Status of the two-Higgs-doublet model of type II (2013, background): “1 As pointed out recently in [29] this requirement leads to the additional constraint”
• Simplified dark matter models with two Higgs doublets: I. Pseudoscalar mediators (2017, background): “Perturbativity [74, 75] and unitarity [76–79] also put restrictions on the scalar masses and the magnitudes and signs of the quartic couplings.”
• Dark Matter through the Higgs portal (2019, unknown): “• v1 and v2 should be global minima for the scalar potential [400]: m(2)12 ( m(2)11 −m(2)22 √ λ1/λ2 )( tan β − 4 √ λ1/λ2 ) > 0 ; (152)”
• Limiting two-Higgs-doublet models (2014, background): “and the requirement of global minimum is imposed by the condition [47]”
• Building and testing models with extended Higgs sectors (2017, methodology): “Fortunately, the same bilinear formalism provides a practical method to check whether the selected minimum of the tree-level potential is indeed global [218, 219, 220].”