  Following arXiv:1506.00612, an effective field theory approach has been
introduced for two additional real scalars, $H$ and $\chi$, to study the
associated Higgs boson ($h$) production with top quarks at the Large Hadron
Collider with centre of mass energy $\sqrt s = 8$ TeV. In all studies, one
benchmark scenario is considered where the parameters of the model are
constrained for $m_H = 275$ GeV and $m_\chi = 60$ GeV. A comparative study has
been performed for the production of the Higgs boson in association with a
single top and top-pairs in the Standard Model with respect to the processes
where $h$ is replaced with the heavy scalar $H$, which further decays via $H
\to h \chi\chi$. The analysis has been performed at two stages where the top
quarks are studied through a single-lepton channel firstly, and then in the
second case with same-sign leptons, electrons or muons in di-lepton events.
Different observables, like $b$ and $c$-tagged jet multiplicities, total
missing energy, and total scalar sum of transverse momenta of all jets and
leptons, has been studied.
