Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential

Abstract

The scalar potential of the two-Higgs-doublet model (2HDM) may have more than one local minimum and the usually considered vacuum could be located at one of them that could decay to another. This paper studies the condition that the usually considered vacuum is the global minimum which, combined with the bounded-from-below condition, will stabilize the vacuum at tree-level. We further apply these conditions to a specific 2HDM and obtain new constraints which could be important in phenomenological studies.

arXiv comment12 pages, references added

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• Singlet-Doublet Fermionic Dark Matter and Gravitational Wave in Two Higgs Doublet Extension of the Standard Model
• Neutrino Masses in a Two Higgs Doublet Model with a U(1) Gauge Symmetry
• The three- and four-Higgs couplings in the general two-Higgs-doublet model
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• Vacuum Stability in Inert Higgs Doublet Model with Right-handed Neutrinos
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• One-Loop Charge-Breaking Minima in the Two-Higgs Doublet Model
• Fate of the scalar quartic couplings in the inert models
• Higgs masses and couplings in the general 2HDM with unitarity bounds