Further study of the global minimum constraint on the two-Higgs-doublet models: LHC searches for heavy Higgs bosons

Abstract

The usually considered vacuum of the two-Higgs-doublet model (2HDM) could be unstable if it locates at a local but not global minimum (GM) of the scalar potential. By requiring the vacuum to be a GM, we obtain an additional constraint, namely the GM constraint, on the scalar potential. In this work, we explore the GM constraint on the $CP$-conserving general 2HDM. This constraint is found to put limits on the soft ${\mathbb{Z}}_2$ breaking mass parameter $m_{12}^2$ and also squeeze the heavy $CP$-even Higgs boson mass into larger values for the $m_{12}^2<0$ case. Combined with the current global signal fits from the LHC measurements of the 125 GeV Higgs boson, we discuss the phenomenological implications for the heavy Higgs boson searches at the LHC.

19 pages, 9 figures, 2 tables; v2: Refs added, one-loop level results added, conclusion doesn't change, matches to published version

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• Constraints on the Parameter Space in an Inert Doublet Model with two Active Doublets
• Explaining Atomki anomaly and muon $g-2$ in $U(1{)}_X$ extended flavour violating two Higgs doublet model
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• How heavy can dark matter be? Constraining colourful unitarity with SARAH
• One-Loop Charge-Breaking Minima in the Two-Higgs Doublet Model
• Prospects for exotic $h\to 4\tau$ decays in single and di-Higgs boson production at the LHC and future hadron colliders