  In this paper, we recast a "stealth stop" search in the notoriously difficult
region of the stop-neutralino Simplified Model parameter space for which
$m(\tilde{t}) - m(\tilde{\chi}) \simeq m_t$. The properties of the final state
are nearly identical for tops and stops, while the rate for stop pair
production is $\mathcal{O}(10\%)$ of that for $t\bar{t}$. Stop searches away
from this stealth region have left behind a "splinter" of open parameter space
when $m(\tilde{t}) \simeq m_t$. Removing this splinter requires surgical
precision: the ATLAS constraint on stop pair production reinterpreted here
treats the signal as a contaminant to the measurement of the top pair
production cross section using data from $\sqrt{s} = 7 \text{ TeV}$ and $8
\text{ TeV}$ in a correlated way to control for some systematic errors. ATLAS
fixed $m(\tilde{t}) \simeq m_t$ and $m(\tilde{\chi})= 1 \text{ GeV}$, implying
that a careful recasting of these results into the full $m(\tilde{t}) -
m(\tilde{\chi})$ plane is warranted. We find that the parameter space with
$m(\tilde{\chi})\lesssim 55 \text{ GeV}$ is excluded for $m(\tilde{t}) \simeq
m_t$ --- although this search does cover new parameter space, it is unable to
fully pull the splinter. Along the way, we review a variety of interesting
physical issues in detail: (i) when the two-body width is a good approximation;
(ii) what the impact on the total rate from taking the narrow width is a good
approximation; (iii) how the production rate is affected when the wrong widths
are used; (iv) what role the spin correlations play in the limits. In addition,
we provide a guide to using MadGraph for implementing the full production
including finite width and spin correlation effects, and we survey a variety of
pitfalls one might encounter.
