to the logarithmic one-loop potential, while non-zero, will be small. This does not hold for the quadratic corrections which give mass corrections of order $h\mu$, suppressed by the cut-off and a loop factor.

In the following section we will consider the following simplified model, with the non-perturbative piece removed. This will allow us to isolate the effects of the constant, $W_0$, appearing as follows: $$\begin{aligned}
  W= h\mbox{Tr}\left(\phi \Phi \tilde{\phi}\right) - h \mu^2
  \mbox{Tr}(\Phi) + h W_0\end{aligned}$$

The presence of this constant slightly changes the global SUSY minimum, introducing a modest amount of SUSY breaking. One can tune the constant such that the superpotential vanishes with the F-terms, but it is not possible to achieve this if we wish to have $V=0$ at the metastable point.

The constant creates an AdS minimum with a negative expectation value equal in magnitude to the global ISS theory’s, namely $V_{\mbox{ADS}}
\simeq -h^2 N_c \mu^4$. However, the difference between $V$ in the AdS minimum and in the metastable minimum is essentially the same as the the difference between $V$ in the SUSY minimum and in the metastable in the global case. The height of the barrier is also essentially the same in both cases.

Finally 