The LHC mass limits for the $SU(2)_{L+R}$ vector resonance triplet of a strong extension of the Standard model

In this paper, we derive the mass exclusion limits for the hypothetical vector resonances of a strongly interacting extension of the Standard model using the most recent upper bounds on the cross sections for various resonance production processes. The $SU(2)_{L+R}$ triplet of the vector resonances under consideration is embedded into the effective Lagrangian based on the non-linear sigma model with the $125$-GeV $SU(2)_{L+R}$ scalar singlet. No direct interactions of the vector resonance to the SM fermions are assumed. We find that among eleven processes considered in this paper only those where the vector resonances decay to $WW$ and $WZ$ provide the mass exclusion limit. Depending on the values of other parameters of the model the mass limit can be as low as 1 TeV.