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VOLUME 97 (2013) | ISSUE 6 | PAGE 340
Standard Model Higgs field and energy scale of gravity
DOI: 10.7868/S0370274X13060027
Abstract
The effective potential of the Higgs scalar field in the Standard Model may have a second degenerate minimum at an ultrahigh vacuum expectation value. 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 vacuum expectation value is proportional to the energy scale of gravity, E_{\text{Planck}} \equiv \sqrt{\hbar c^5/G_{N}}, 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 vacuum expectation value and this lower bound is of the order of EPlanck.