Dynamical generation of scalar mass in two Higgs doublet model under Yukawa interactions

Abstract

Light scalars are among the expected particles in nature. If they indeed exist, dynamical generation of masses becomes an important phenomenon to investigate in scalar interactions. A two Higgs doublet model containing two complex doublet scalar fields, conveniently called the standard model Higgs and the second Higgs fields, is studied to explore the extent of dynamical mass generation and the field propagators in the model at different cutoff values. Both Higgs fields are coupled with each other by a real singlet scalar field through a modelled Yukawa interaction. The model is studied for various renormalized masses of the second Higgs field at various coupling strength. The renormalized mass of the standard model Higgs boson is kept at $125.09$ GeV. The model has strong indication of existence of critical coupling below $10^{-3}$ 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 found non-trivial.