Standard Model Parameters from the Multiple Point Principle and Anti-GUT

Abstract

We put forward a model, or rather a relatively broad class of models, beyond the Standard Model based on the two main assumptions: MPP) The coupling constants should be fixed such as to ensure that there be many ``vacuum states'', i.e. Lorentz invariant states of the fields, with the same energy density. Anti-GUT) At high energy, above an essential desert of only Standard Model interactions, there is the bigger gauge group $SMG^3\times U(1)_f$ which means that each family of quarks and leptons has its own set of gauge bosons analogous to those in the Standard Model itself, and then there is one extra abelian gauge boson called $U(1)_f$. In addition we make some further more phenomenological assumptions. We succeed in fitting order of magnitudewise most of the (effective) Yukawa couplings observed in the Standard Model as quark and lepton masses and mixing angles. We have more accurate numbers for the three fine-structure constants and the top and Higgs masses, as well as some suggestive understanding of the fine-tuning wonders for the cosmological constant and the $Θ$-angles. CP-violation is predicted a bit low, but order of magnitudewise in agreement with experiment. In summary, we obtain at least an order of magnitudewise understanding of the Standard Model parameters within our scheme, except for the mysteriously low weak scale compared to the Planck scale, with only 4 continuous parameters being fitted, in addition to our somewhat more discrete choices.