1997/07/01 by C. D. Froggatt, Froggatt, C. D., H. B. Nielsen +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9707205
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
arxiv created 1997/07/01 · arxiv updated 2009/11/30
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(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 ⊗ U(1)3 model.