content_image/326854.jpg content_image/326855.jpg content_image/326856.jpg
where B = 25 54 for Γ$_{ϕ}$ ≳ H$_{TI}$ (Eq. (4.58)) or B = 25 384 for Γ$_{ϕ}$ ≪ H$_{TI}$ (Eq. (4.62)). Then, our m from Eq. (4.3) gives 

<img src='content_image/326854.jpg'>

In the parameter space available (if any), we will investigate the range of values for f$_{NL}$ and g$_{NL}$ . 

## 4.4.3 Constraining the Free Parameters 

## 4.4.3.1 Primordial Inflation Energy Scale 

We want the energy scale of primordial inflation to be 

<img src='content_image/326855.jpg'>

so that the inflaton contribution to the curvature perturbation is negligible. Therefore, from the Friedmann equation 3 M 2 $_{P}$H 2 ∗ = V we require 

## 4.4.3.2 Thermal Inflation Dynamics 

<img src='content_image/326856.jpg'>

We will consider only the case in which the inflationary trajectory is 1- dimensional, in that only the φ field is involved in determining the trajectory of thermal inflation in field space. We do this only to work with the simplest 

