In the Standard Model (SM), fundamental particles are either matter particles or gauge bosons. As matter particles come in generations, it is reasonable to assume that the Higgs boson may also have a heavier sister boson. Further scalar particles are also expected to exist beyond Standard Model physics (BSM). What is not truly confirmed is if the physics can be described by the perturbative approach. Hence, nonperturbative approaches naturally find their place in BSM-related studies. The two Higgs Doublet Model (2HDM) with a singlet scalar field offers an interesting avenue to explore interactions between Higgs generations.

For the thesis, field propagators are intended to be calculated using a singlet mediating scalar particle which interacts with both Higgs generations via Yukawa vertex. The model is investigated for different parameters which include both weak and strong coupling values. The first Higgs (or Standard Model Higgs) mass is kept fixed at 125.09 GeV. ROOT (CERN) is to be used for the diagrammatic representation of the results.