4.4 “End of Inflation” Mechanism 90 Fig. 4.5: The allowed parameter space for H$_{T I}$ , with α = 1 , Γ$_{ϕ}$ ≪ H$_{T I}$ and the parameter values of Table 4.2. The constraints on m$_{0}$ that are shown are the following: Green: Eq. (4.166) Blue: Eq. (4.94) Purple: Eq. (4.114) Fig. 4.6: The allowed parameter space for m$_{ψ}$ , with α = 1 , Γ$_{ϕ}$ ≪ H$_{T I}$ and the parameter values of Table 4.2. The upper bound given by the Red line is that of Eq. (4.90) and the upper bound given by the Brown line is that of Eq. (4.165). (We choose to display only down to 10 − 10 GeV, i.e. this value is not a lower bound.) The constraints on m$_{0}$ that are shown are the following: Green: Eq. (4.166) Blue: Eq. (4.94) Purple: Eq. (4.114) 10 2 10 3 10 $_{4}$m 0 ( GeV ) 10 - 10 10 - ✽ 10 - ✻ 10 - 4 10 - 2 m$_{ψ}$ ( GeV ) 10 2 10 3 10 $_{4}$m 0 ( GeV ) 10 - 4 10 - 3 10 - 2 H TI ( GeV )