Summary
In case of one or two Higgs doublets the requirement of the vacuum stability establishes severe bounds between the heaviest Higgs boson mass and the top-quark mass. We argue that for the composite Higgs boson the standard arguments based on the vacuum stability requirement are not applicable and hence we cannot use the stability bound for the top-quark mass.
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Krasnikov, N., Rodenberg, R. Comments on the vacuum stability bounds in the case of composite Higgs bosons. Nuov Cim A 105, 1601–1608 (1992). https://doi.org/10.1007/BF02731073
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DOI: https://doi.org/10.1007/BF02731073