4.4 “End of Inflation” Mechanism 91 Fig. 4.7: The allowed parameter space for h , with α = 1 , Γ$_{ϕ}$ ≪ H$_{T I}$ and the parameter values of Table 4.2. The Black line is h = 10 − $^{9}$, the Red line is the lower bound given by Eq. (4.93) and the Brown line is the upper bound given by Eq. (4.112). 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 - 11 10 - 10 10 - ✾ 10 - GLYPH<a0> h Table 4.3: Values of quantities in the model for α =1 , Γ$_{ϕ}$ ≪ H$_{TI}$ , m$_{0}$ ∼ 10 3 GeV and the parameter values of Table 4.2. m$_{0}$ ∼ 10 3 GeV is ruled-out. However, as we are working within an order of magnitude for each value, we can see that our predicted value, i.e. the Black Quantity Order of Magnitude Value $^{ψ}$∗ 10 12 GeV δψ$_{∗}$ ψ$_{∗}$ 10 − 4 H$_{T I}$ 10 − 2 GeV 〈 φ 〉 10 13 GeV V 1 4 0 10 8 GeV T$_{1}$ 10 7 GeV T$_{2}$ 10 3 GeV Γ 10 2 GeV r 10 − 13