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

C. D. Froggatt·H. B. Nielsen·D. J. Smith
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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 $SMG^3 \otimes U(1)_f$; 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.

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C. D. Froggatt, H. B. Nielsen, D. J. Smith. 1997-07-01. Dynamical Determination of the Top Quark and Higgs Masses and Fermion Masses in the Anti-Grand Unification Model. https://arxiv.org/abs/hep-ph/9707205

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