-2.56~10^{-11}  \\
       \<\Phi_1\> & -1.21~10^{-13} & -1.21~10^{-13} & -1.23~10^{-13} & -3.71~10^{-13} & -1.16~10^{-12} & -1.66~10^{-12} & -2.08~10^{-12}  \\
       \hline
       F_{\phi_0}/\mu^2 & -7.43~10^{-7~}  & -7.43~10^{-7~} & -7.56~10^{-7~} & -2.50~10^{-6~} & -8.03~10^{-6~} & -1.15~10^{-5~} & -1.45~10^{-5~}  \\
       F_{\Phi_1}/\mu^2 & -1.07~10^{-2~} & -1.07~10^{-2~} & -1.07~10^{-2~} & -1.07~10^{-2~} & -1.07~10^{-2~} & -1.07~10^{-2~} & -1.07~10^{-2~} \\
        \hline
      \end{array}
   $

We now present the numerical analysis of our model. In the following we confirm that the metastable minimum exists in the presence of gravity, show where the numerical results diverge from the analytical approximations and explain why these deviations are larger than dimensional analysis suggests. Where possible we compare our results with those presented previously, demonstrating that they can be recovered if the same assumptions about the one-loop potential are made (the assumptions used to derive the analytical approximations), but that relaxing these assumptions introduces the shift just discussed.

Our main observation in this section is that one must be careful about estimating the error introduced by neglecting gravitational corrections to the one-loop effective potential. As far as the logarithmic one-loop potential is concerned, it is necessary to compute it in full, though the gravitational corrections can safely be ignored [^7]. The quadratic one-loop potential must 