4.4 “End of Inflation” Mechanism 66 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 In the parameter space available (if any), we will investigate the range of values for f$_{NL}$ and g$_{NL}$ . We want the energy scale of primordial inflation to be 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 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 4.4.3.2 Thermal Inflation Dynamics 4.4.3.1 Primordial Inflation Energy Scale 4.4.3 Constraining the Free Parameters g$_{NL}$ ≃ B [ 2 + 6 α − 3 α ( m 2 $_{0}$M 2 α − 2 P 2 h $^{2}$ψ2 α − 1 ) + (2 α 2 − α ) ( α − 1) α 3 ( m 4 $_{0}$M 4 α − 4 P 4 h $^{4}$ψ4 α − m 2 $_{0}$M 2 α − 2 P h $^{2}$ψ2 α + 1 )] (4.74) V 1 4 ≲ 10 14 GeV (4.75) $^{H}$∗ ≲ 10 10 GeV (4.76)