English

Non-perturbative solutions in the electro-weak theory and the Higgs boson mass

High Energy Physics - Phenomenology 2011-03-25 v2

Abstract

We apply Bogoliubov compensation principle to the gauge electro-weak interaction to demonstrate a spontaneous generation of anomalous three-boson gauge invariant effective interaction. The non-trivial solution of compensation equations uniquely defines the form-factor of the anomalous interaction and parameters of the theory including value of gauge electro-weak coupling g(MW2)0.62g(M_W^2)\simeq 0.62 in satisfactory agreement to the experimental value. A possibility of spontaneous generation of effective four-fermion interaction of heavy quarks is also demonstrated. This interaction defines an equation for a scalar bound state of heavy quarks which serve as a substitute for the elementary scalar Higgs doublet. As a result we obtain two possible solutions for the observable Higgs boson mass: M1=(306±14)GeVM_1\,=\,(306\,\pm\,14)GeV and M2=(253±10)GeVM_2\,=\,(253\,\pm\,10)\,GeV. Values for other parameters e.g. anomalous three-boson coupling G\,G, Higgs boson width ΓH\Gamma_H, its branching ratios and estimates for cross-section of Higgs production at LHC are also obtained.

Keywords

Cite

@article{arxiv.1103.3951,
  title  = {Non-perturbative solutions in the electro-weak theory and the Higgs boson mass},
  author = {Boris A. Arbuzov and Ivan V. Zaitsev},
  journal= {arXiv preprint arXiv:1103.3951},
  year   = {2011}
}

Comments

10 pages, 2 tables, 8 figures, typos corrected