The Multiple Point Principle and Higgs Bosons

The multiple point principle (MPP), according to which several vacuum states with the same energy density exist, is put forward as a fine-tuning mechanism predicting the ratio between the fundamental and weak scales in the Standard Model (SM) and in its two Higgs doublet extension (2HDM). Using renormalization group equations for the SM, we obtain the effective potential in the 2-loop approximation and investigate the existence of its postulated second minimum at the fundamental scale. In the SM an exponentially huge ratio between the fundamental (Planck) and electroweak scales results: $\frac{\Lambda_{fund}}{\Lambda_{ew}} \sim e^{40}.$ But in the 2HDM the fundamental scale $\Lambda$ can vary from 10 TeV up to the Planck scale. Using the MPP, we predict the masses of the Higgs bosons.