  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 detector 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.
