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 ≡ √ħc 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.
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References
G. Aad et al. (ATLAS Collab.), Phys. Lett. B 716, 1 (2012); arXiv:1207.7214.
S. Chatrchyan et al. (CMS Collab.), Phys. Lett. B 716, 30 (2012); arXiv:1207.7235.
C. D. Froggatt and H. B. Nielsen, Phys. Lett. B 368, 96 (1996); arXiv:hep-ph/9511371.
K. A. Meissner and H. Nicolai, Phys. Lett. B 648, 312 (2007); arXiv:hep-th/0612165.
M. Shaposhnikov and C. Wetterich, Phys. Lett. B 683, 196 (2010); arXiv:0912.0208.
M. Holthausen, K. S. Lim, and M. Lindner, J. High Energy Phys. 1202, 037 (2012); arXiv:1112.2415.
S. R. Coleman and E. J. Weinberg, Phys. Rev. D 7, 1888 (1973).
M. Sher, Phys. Rep. 179, 273 (1989).
C. Ford, D. R. T. Jones, P. W. Stephenson, and M. B. Einhorn, Nucl. Phys. B 395, 17 (1993); arXiv:hep-lat/9210033.
K. G. Chetyrkin and M. F. Zoller, J. High Energy Phys. 1206, 033 (2012); arXiv:1205.2892.
F. Bezrukov, M. Y. Kalmykov, B. A. Kniehl, and M. Shaposhnikov, J. High Energy Phys. 1210, 140 (2012); arXiv:1205.2893.
G. Degrassi, S. Di Vita, J. Elias-Miro, et al., J. High Energy Phys. 1208, 098 (2012); arXiv:1205.6497.
M. Visser, Lorentzian Wormholes: From Einstein to Hawking (Springer, New York, 1995).
S. V. Sushkov and S. W. Kim, Class. Quantum Grav. 19, 4909 (2002); arXiv:gr-qc/0208069.
F. R. Klinkhamer, Mod. Phys. Lett. A 28, 1350010 (2013); arXiv:1112.2669.
F. R. Klinkhamer and P. Olesen, Nucl. Phys. B 422, 227 (1994); arXiv:hep-ph/9402207.
S. Bernadotte and F. R. Klinkhamer, Phys. Rev. D 75, 024028 (2007); arXiv:hep-ph/0610216.
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Klinkhamer, F.R. Standard model Higgs field and energy scale of gravity. Jetp Lett. 97, 297–300 (2013). https://doi.org/10.1134/S002136401306009X
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DOI: https://doi.org/10.1134/S002136401306009X