Apart from lower statistics, in the high-${p_\text{T}}$ region we expect a larger theoretical uncertainty. Therefore we perform a conservative fit to the data, such that the fitted curve lies completely above the simulated curve in the region ${p_\text{T}}>50{\ensuremath{\,\textnormal{GeV}}}$.

After this change, discovery is expected to take place for one to three events in the whole considered region, as shown in figure \[fig:lum-num-mass-run\]. For instance, a scenario with a $300{\ensuremath{\,\textnormal{GeV}}}$ stau NLSP is expected to be discovered at about $10{\ensuremath{\,\textnormal{fb}}}^{-1}$ (and even for ${{r_{\beta}}}=10^{-7}$ at about $20{\ensuremath{\,\textnormal{fb}}}^{-1}$) through direct production alone. On the other hand, if it is not chosen by nature the same scenario can be excluded at $95\%\,$C.L. with roughly $30{\ensuremath{\,\textnormal{fb}}}^{-1}$. In the very long term, nearly the whole considered mass range is accessible at the LHC, for example, masses up to $600{\ensuremath{\,\textnormal{GeV}}}$ (exclusion) and about $750{\ensuremath{\,\textnormal{GeV}}}$ (discovery) for $300{\ensuremath{\,\textnormal{fb}}}^{-1}$. Note that the probability bands for the ${{r_{\beta}}}=10^{-10}$ exclusion curve are degenerate with the three-event line. In figure \[fig:lum-num-mass-run\] only the $2\sigma$ probability band for the $10^{-7}$ curve is visible.

Besides, the dependence of the LHC potential on the background rejection factor ${{r_{\beta}}}$ can be studied. The large change of ${{r_{\beta}}}$ by three orders of magnitude causes only a 