Multiple point principle in the general Two-Higgs-Doublet model

A bstract Based on the Multiple Point Principle, the Higgs boson mass has been predicted to be 135 ± 9 GeV — more than two decades ago. We study the Multiple Point Principle and its prospects with respect to the Two-Higgs-Doublet model (THDM). Applying the bilinear formalism we show that concise conditions can be given with a classification of different kinds of realizations of this principle. We recover cases discussed in the literature but identify also different realizations of the Multiple Point Principle.