Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-03-21
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 2 tables, 8 figures, typos corrected
Scientific paper
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 $g(M_W^2)\simeq 0.62$ 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: $M_1\,=\,(306\,\pm\,14)GeV$ and $M_2\,=\,(253\,\pm\,10)\,GeV$. Values for other parameters e.g. anomalous three-boson coupling $\,G$, Higgs boson width $\Gamma_H$, its branching ratios and estimates for cross-section of Higgs production at LHC are also obtained.
Arbuzov Boris A.
Zaitsev Ivan V.
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