4.4 “End of Inflation” Mechanism 93 Fig. 4.9: Prediction of the model for the non-Gaussianity parameter g$_{NL}$ , with α =1 , Γ$_{ϕ}$ ≪ H$_{T I}$ and h and $^{H}$∗ values from Table 4.2. (A plot of Eq. (4.74), with ψ = $^{ψ}$∗ .) The Blue and Red lines are the central value and lower/upper bounds of g$_{NL}$ respectively as obtained by the Planck spacecraft [55]. primordial inflation is that of slow-roll Chaotic Inflation, with the potential From Section 4.3.2, the spectral index n$_{s}$ is given by with ϵ being given by Eq. (4.22) and η$_{ψψ}$ being given by Eq. (4.21) and where both are to be evaluated at the point where cosmological scales exit the horizon during primordial inflation. The potential of Eq. (4.174) gives V ( ϕ ) = 1 2 m 2 $_{ϕ}$ϕ 2 (4.174) n$_{s}$ ≃ 1 − 2 ϵ + 2 η$_{ψψ}$ (4.175) ϵ = 2 M 2 P ϕ 2 ∗ (4.176) 10 2 10 3 10 $_{4}$m 0 ( GeV ) 10 - 3 10 - 2 10 - 1 10 0 10 1 g NL