dissipation coefficient from low-momentum and pole contribution warm inflation

The conventional models of warm inflation include the two-stage field interaction mechanism where the inflation field interacts with other intermediate fields (bosonic and fermionic fields), which are coupled with other fields themselves. these heavy intermediate fields decay to light degrees of freedom. during these two-stage renormalizable interactions under adiabatic conditions and close to the thermal equilibrium state, the dissipative effects are produced and cause alterations in the inflationary dynamics. interaction between the inflation, intermediate and radiation fields lead to the formation of a thermal bath during inflation, and therefore the effect of thermal and radiative corrections should also be addressed. in this work, by focusing on the regime in which the intermediate field mass is greater than temperature, a relationship is obtained for the dissipation coefficient based on the super-symmetric and numerical calculation models, which is originated from both real and virtual modes of the intermediate field. moreover, it is indicated that the contribution of on-shell modes decay to the bosonic and fermionic radiation fields is more than expected. it is also demonstrated that there are strong dissipative effects in the validity range of a perturbative analysis.