We study the top quark pair events production in $pp$ collisions in the $\ell$+jets channel at the LHC energy of $\sqrt{s} = 14$ TeV for Standard Model as well as new physics processes. We explore the usage of semi-boosted topologies where the top quark decays into a boosted hadronic $W$-jet and an isolated $b$-jet and study their performance in the $t\bar{t}$ events kinematic reconstruction. An efficiency increase is observed and the correlation of selected kinematic variables between the

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... tor and particle level is studied. Quality of the reconstructed mass line shape of a $Z'$ model with applications in current LHC experiments is evaluated. The results of the unfolding procedure for chosen spectra and an explicit proof of a slight degradation in the signal significance after the unfolding procedure are presented using the Fully Bayesian unfolding technique.