Looking for non-perturbative effects of the electroweak interaction at the LHC

We are considering a possibility for detecting non-perturbative effect in process of top pair production in association with a high $p_T$ photon. Starting from previous results on two solutions for a spontaneous generation of wouldbe effective interaction of a top pair with a pair of electro-weak bosons, we show, that a solution with effective cut-off $\Lambda \simeq 10^2\,TeV$ is already contradicting to existing data, while the other one with $\Lambda \simeq 10^{16}\,TeV$ (just the Planck scale) could be reconciled with data and give predictions for process $p+p\to\bar t t \gamma+X$, which could be effectively checked at the LHC with $\sqrt{s}=13\,TeV$. The confirmation of the predictions would mean a strong support for the existence of non-perturbative effects in the electro-weak interaction.