DYNAMICAL DETERMINATION OF THE TOP QUARK AND HIGGS MASSES AND FERMION MASSES IN THE ANTI-GRAND UNIFICATION MODEL

摘要

The multiple point criticality principle is applied to the pure Standard Model (SM); with a desert up to the Planck scale. We are thereby led to impose the constraint that the effective Higgs potential should have two degenerate minima, one of which should have a vacuum expectation value of order unity in Planck units. In this way we predict a top quark mass of 173 ± 5 GeV and a Higgs particle mass of 135 ± 9 GeV. The quark and lepton mass matrices are considered in the anti-grand unified extension of the SM based on the gauge group SMG3 ? U(l); this group contains three copies of the SM gauge group SMG, one for each generation, and an abelian flavour group U(l)j-The 9 quark and lepton masses and 3 mixing angles are fitted using 3 free parameters, with the overall mass scale set by the electroweak interaction. It is pointed out that the same results can be obtained in an anomaly free SMG U(l)3 model.