1302.1496 (F. R. Klinkhamer)

Standard Model Higgs field and energy scale of gravity    [PDF]

F. R. Klinkhamer

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}.

View original: http://arxiv.org/abs/1302.1496