  Light scalars are among the expected particles in nature. If they indeed
exist, dynamical generation of masses becomes an important phenomenon to
investigate scalar interactions from the perspective of understanding new
physics and the accompanying features, such as critical couplings. A two Higgs
doublet model containing two complex doublet scalar fields, conveniently called
the standard model Higgs and the second Higgs fields, interacting with each
other via a real singlet scalar field by a modelled Yukawa interactions is
studied to explore the extent of dynamical mass generation and the field
propagators in the model at different cutoff values. The model is studied for
various renormalized masses of the second Higgs field at various coupling
constants. The renormalized mass of the standard model Higgs boson is kept at
$125.09$ GeV. The model has strong indications of existence of critical
coupling between 0.000001 GeV and 0.001 GeV. The observed dynamical masses are
generally within $200$ MeV. The two Higgs propagators are found to be
considerably stable compared to scalar singlet propagators despite cutoff
effects. No phase structure in the parameter space was observed. The model is a
non-trivial theory in scalar sector.
