We show that supersymmetric models with a large Dirac gluino mass can evade
much of the jets plus missing energy searches at LHC. Dirac gaugino masses
arise from "supersoft" operators that lead to finite one-loop suppressed
contributions to the scalar masses. A little hierarchy between the Dirac gluino
mass 5 - 10 times heavier than the squark masses is automatic and technically
natural, in stark contrast to supersymmetric models with Majorana gaugino
masses. At the LHC, colored sparticle production is suppressed not only by the
absence of gluino pair (or associated) production, but also because several of
the largest squark pair production channels are suppressed or absent. We recast
the null results from the present jets plus missing energy searches at LHC for
supersymmetry onto a supersoft supersymmetric simplified model (SSSM). Assuming
a massless LSP, we find the strongest bounds are: 748 GeV from a 2j + MET
search at ATLAS (4.7 fb^{-1}), and 684 GeV from a combined jets plus missing
energy search using αT​ at CMS (1.1 fb^{-1}). In the absence of a future
observation, we estimate the bounds on the squark masses to improve only
modestly with increased luminosity. We also briefly consider the further
weakening in the bounds as the LSP mass is increased.Comment: 13 pages, 8 figure