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 λ, we calculate its contribution to interactions of the Higgs with pairs of heavy particles. Bearing in mind experimental restrictions −0.011 < λ < 0.011 we present results for possible effects in processes p p → W+W−H, p p → WZH, p p → W−ZH, p p → t̄tH, pp → b̄bH. Effects could be significant with negative sign of λ 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.