In the Type-II two-Higgs-doublet model, once next-to-leading-order unitarity, perturbativity and current data are imposed, the electroweak vacuum remains the global minimum among neutral vacua at tree level and one loop — metastable vacua are effectively excluded.
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Fate of Metastable Vacua in the Type-II Two-Higgs Doublet Model
In the Type-II two-Higgs-doublet model, once next-to-leading-order unitarity, perturbativity and current data are imposed, the electroweak vacuum remains the global minimum among neutral vacua at tree level and one loop — metastable vacua are effectively excluded.