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We apply Bogoliubov compensation principle to the gauge electro-weakinteraction to demonstrate a spontaneous generation of anomalous three-bosongauge invariant effective interaction. The non-trivial solution of compensationequations uniquely defines values of parameters of the theory and theform-factor of the anomalous interaction. The contribution of this interactionto running EW coupling $\alpha_{ew}(p^2)$ gives its observable value$\alpha_{ew}(M_W^2)=0.0374$ in satisfactory agreement to the experiment. Theanomalous three-boson interaction gives natural explanation of the well-knowndiscrepancy in muon $g-2$. The implications for EW studies at Tevatron and LHCare briefly discussed.

Bogoliubov compensation principle in the electro-weak interaction: value of the gauge constant, muon g-2 anomaly, predictions for Tevatron and LHC