Non-perturbative solutions in the electro-weak theory and the Higgs boson mass
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 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: and . Values for other parameters e.g. anomalous three-boson coupling , Higgs boson width , 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