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Standard Model Higgs field and energy scale of gravity

by: F. R. Klinkhamer
(6 Feb 2013)  Key: citeulike:12003591

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Abstract

The effective potential of the Higgs scalar field in the Standard Model may have a second minimum at ultrahigh values of the field. This second minimum then determines, by radiative corrections, the values of the top-quark and Higgs-boson masses at the standard minimum corresponding to the electroweak energy scale. An argument is presented that this ultrahigh energy scale is proportional to the energy scale of gravity, E_Planck, considered to be characteristic of a spacetime foam. In the context of a simple model, the existence of kink-type wormhole solutions places a lower bound on the ultrahigh scalar expectation value and this lower bound is of the order of E_Planck.


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