Dynamical Determination of the Top Quark and Higgs Masses and Fermion Masses in the Anti-Grand Unification Model

Abstract

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 $173\pm 5$ GeV and a Higgs particle mass of $135\pm 9$ GeV. The quark and lepton mass matrices are considered in the anti-grand unified extension of the SM based on the gauge group $SM{G}^3\otimes U(1{)}_f$; this group contains three copies of the SM gauge group SMG, one for each generation, and an abelian flavour group $U(1{)}_f$. 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 $SMG\otimes U(1{)}^3$ model.

Comments: uuencoded 4 page LaTeX file plus 2 postscript figures, uses psfig.sty, epsfig.sty and stwol.sty; published in Proceedings of 28th International Conference on High Energy Physics (ICHEP 96), Warsaw: 1127-1130