Associated heavy quarks pair production with Higgs as a tool for a search for non-perturbative effects of the electroweak interaction at the LHC

Assuming an existence of an anomalous triple electro-weak bosons interaction being defined by coupling constant $\lambda$, we calculate its contribution to interactions of the Higgs with pairs of heavy particles. Bearing in mind experimental restrictions $-0.011<\lambda <0.011$ we present results for possible effects in processes $p,p \to W^+ W^- H,,p,p \to W^+ Z H,,p,p \to W^- Z H,,p,p \to \bar t t H $,$p p \to \bar b b H$. Effects could be significant with negative sign of $\lambda$ in associated heavy quarks $t,b$ pairs production with the Higgs. In calculations we rely on results of the non-perturbative approach to a spontaneous generation of effective interactions, which defines the form-factor of the three-boson anomalous interaction.