at tree-level is clearly not sufficient to guarantee it remains close to zero when loop corrections are included. As discussed in detail in [@deAlwis:2006nm; @deAlwis:2007qx] one generically expects both the logarithmic corrections present in the SUSY theory (albeit with gravitationally corrected masses) and quadratically divergent contributions, $V_{\mbox{quad.}}=
\frac{1}{32\pi^2}\mbox{STr}\mathcal{M}^2 \Lambda^2$, to be present if the theory is cut-off at $\Lambda$. However, as noted in [@deAlwis:2007qx] and discussed further in [@Ferrara:1994kg], this contribution is determined by the geometry of the Kähler potential and the number of degrees of freedom in the effective theory, and in principle it is possible for it to vanish. Even if it remains, its presence is not necessarily particularly damaging, since it is fixed by the size of $m_{3/2}$.

The potential can then be parametrised as (with $M_P$ set to $1$ and $V_{\mbox{log}}$ denoting the logarithmic one-loop contribution): $$V= V_F+V_{\mbox{log}}+(Z-3) m_{3/2}^2$$ where $Z$ is a parameter encapsulating our ignorance about UV effects and is $\mathcal{O}(\frac{1}{32\pi^2})$ to $\mathcal{O}(\frac{N_{\mbox{\tiny TOT}}}{32\pi^2})$, where $N_{\mbox{\tiny TOT}}$ is the total number of chiral fields. If $Z<0$, the condition $V=0$ is satisfied by a smaller $W_0$ than is required to cancel the tree-level potential. Since we know that $|Z|\propto \Lambda^2$ this implies that it must 