  Higgs, being the first discovery of a fundamental scalar field in the
standard model (SM), opens the possibility of existence of other scalar or
pseudo scalar particles in nature. Though it does not conclusively fulfill the
role of inflaton, it does provide motivation for experimental searches
involving interactions of scalar (or pseudo scalar) particles as well as
implications of such particles' existence from the perspective of theoretical
understanding. Yukawa interactions are among the possible interactions. The
considered model addresses Yukawa interaction among the Higgs (and Higgs bar)
and a real singlet scalar field using Dyson Schwinger equations (DSEs) over a
range of bare coupling values relevant to inflation-related physics for several
scalar bare masses and cutoff values. The Higgs mass is kept fixed at two
values for two different scenarios. It is found that Higgs propagators are tree
level dominated while scalar propagators, despite their dependence on parameter
region, do not degenerate over the whole parameter space. The interaction
vertices show significant deviations from tree level expression for a number of
parameters and exhibit two distinct behaviors. Furthermore, the theory does not
show any conclusive sign of triviality over the explored parameter space,
despite suppressed vertices for some parameters, particularly for small
coupling values in a certain region of parameter space.
