discovery of a gravitino-stau scenario. This enables us to decide for which SUSY spectra our previous calculations for the direct DY production yield a good approximation for the potential of the LHC and for which spectra they are overly conservative.

We classify three sources of the production of SUSY particles,

-   production of sleptons, including the direct production of staus,

-   production of neutralinos and charginos, and

-   production of colored sparticles.

Let us look at the leading contributions of each class. For simplicity, in each case we consider exemplary production rates of a single sparticle species and do not sum, e.g., over the generations of sfermions (which would require an assumption on the relation between their masses). It is easy to estimate the production rate in the case of degeneracies by multiplying the results by the appropriate factor. For this consideration we computed the cross section via <span style="font-variant:small-caps;">MadGraph/MadEvent 5</span> [@Alwall:2011uj] at lowest order and cross-checked whether NLO computations [@PhysRevD.57.5871; @1999PhRvL..83.3780B; @1997NuPhB.492...51B] lead to roughly the same conclusions.

At lowest order in the electroweak coupling, $\mathcal{O}(\alpha^2)$, direct production of sleptons is only possible via neutral current and charged current DY. According to figure \[fig:theta-stau\], right- and left-handed slepton pair 