4.4 “End of Inflation” Mechanism 88 Table 4.2: Values of the free parameters for which parameter space exists, for α =1 and Γ$_{ϕ}$ ≪ H$_{TI}$ . Parameter Value n 1 g 0 . 4 $^{H}$∗ 10 8 GeV Γ$_{ϕ}$ 4 × 10 − 7 GeV λ 10 − 8 6! h 10 − 9 played in Figs. 4.3–4.5 respectively. Fig. 4.6 shows the allowed parameter space for m$_{ψ}$ . Within the range m$_{0}$ ∼ 10 $^{2}$– 10 3 GeV, the mass m$_{ψ}$ can span many orders of magnitude, with only an upper limit of ∼ 10 − $^{4}$– 10 − 2 GeV. Within the model, there is no effective lower bound on m$_{ψ}$ . Finally, Fig. 4.7 shows the allowed parameter space for h , for a value of h = 10 − $^{9}$. From looking at this plot, it may initially seem as if there is no allowed parameter space available for our given value of h . However, as we are working within an order of magnitude for each value, we can see that all of the visible con- straints do allow for our given value of h , for a thermal waterfall field mass value of m$_{0}$ ∼ 10 3 GeV. Values of other quantities in the model for a mass value of m$_{0}$ ∼ 10 3 GeV and the parameter values of Table 4.2 are shown in Table 4.3. In this table we include the tensor fraction, which for a value of $^{H}$∗ ∼ 10 8 GeV yields the negligible value r ∼ 10 − $^{13}$. Figs. 4.8 and 4.9 show the prediction of the model for the non-Gaussianity parameters f$_{NL}$ and g$_{NL}$ respectively, with h and $^{H}$∗ values from Table 4.2, together with the central value and range for the parameters as obtained by