Dynamical determination of the top quark and Higgs masses in the Standard Model

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We consider the application of the multiple point criticality principle to the pure Standard Model, with a desert up to the Planck scale. According to this principle, Nature should choose coupling constant values such that the vacuum can exist in degenerate phases. Furthermore we require a strongly first order phase transition between the two vacua, in order that the dynamical mechanism be relevant. Thus we 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 +/- 4 GeV and a Higgs particle mass of 135 +/- 9 GeV. A possible model to explain the multiple point criticality principle is the lack of locality in quantum gravity and the effects of baby universes which, on general grounds, are expected to make coupling constants dynamical.
uuencoded 13 page LaTeX2e file plus 5 postscript figures, uses epsf.sty and psfig.sty; paper contributed to ICHEP96, Warsaw, 25-31 July 1996

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