Implementation of the Multiple Point Principle in the Two-Higgs Doublet   Model of type II
  The multiple point principle (MPP) is applied to the non--supersymmetric two-Higgs doublet extension of the Standard Model (SM). The existence of a large set of degenerate vacua at some high energy scale caused by the MPP results in a few relations between Higgs self-coupling constants which can be examined at future colliders. The numerical analysis reveals that these MPP conditions constrain the mass of the SM--like Higgs boson to lie below 180 GeV for a wide set of MPP scales $\Lambda$ and $\tan\beta$. 
Colin D.Froggatt, Larisa Laperashvili, Roman Nevzorov, Holger Bech   Nielsen, Marc Sher