English

Standard Model Higgs field and energy scale of gravity

High Energy Physics - Phenomenology 2015-06-12 v5 High Energy Physics - Theory

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_{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 E_{Planck}.

Keywords

Cite

@article{arxiv.1302.1496,
  title  = {Standard Model Higgs field and energy scale of gravity},
  author = {F. R. Klinkhamer},
  journal= {arXiv preprint arXiv:1302.1496},
  year   = {2015}
}

Comments

v5: published version