  Scalar sector offers a valuable avenue to explore its implications in the
particle physics phenomenology for new physics and several model dependent
phenomena. Two Higgs doublet models are among the promising models for such
explorations. In the presence of a standard model Higgs, a two Higgs doublet
model is studied in which the two Higgs fields are connected with each other
via a scalar singlet field. The study is conducted using Dyson Schwinger
equations under the Yukawa vertices set at their tree level form up to certain
constants. Among the field propagators, the two Higgs propagators are found to
be least effected in the parameter space which also reflects in the
insignificant beyond the bare mass contributions to the renormalized Higgs
masses. Evidence of universality in terms of identical coupling for both Higgs
is found in the model. The model is found to be non-trivial in the explored
parameter space. There are cutoff effects in the model. Stability in the
calculated correlation functions and parameters generally ensues beyond 100 TeV
cutoff.
