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The upper bounds that the LHC measurements searching for heavy resonancesbeyond the Standard model set on the resonance production cross sections arenot universal. They depend on various characteristics of the resonance underconsideration, and their validity is also limited by the assumptions andapproximations applied to their calculations. The bounds are typically used toderive the mass exclusion limits for the new resonances. We address some of theissues that emerge when deriving the mass exclusion limits for the stronglycoupled composite $SU(2)_{L+R}$ vector resonance triplet which would interactdirectly to the third quark generation only. We show that the presence of suchinteractions in the model can lower the mass exclusion limits.

The mass exclusion limits for the BSM vector resonances with the direct couplings to the third quark generation