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

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.
Comment: 34 pages, 1 figure, 2 tables