Abstract
We investigate an extension of the standard model in which the breaking of dilatation symmetry by the mass parameters of the Higgs potential is removed by means of a dilaton field. In curved space-time this yields the Jordan-Brans-Dicke theory of gravity with the Standard Model as matter sector. Renormalization conditions without fine tuning at the mass scale ƒ, which is associated with the breaking of scale invariance, lead to an exponentially large hierarchy between ƒ and the vacuum expectation value v which breaks the electroweak gauge group. We also compute upper and lower bounds on Higgs and t-quark masses, which follow from triviality and vacuum stability arguments in the presence of the dilaton field, as functions of the generated hierarchy ƒ v . With ƒ = ƒ pl = 2.4 × 10 18 GeV we find in the case one Higgs doublet the bound m t < 100 GeV, which increases to m t < 130 GeV in the case of two Higgs doublets.
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