  Supersymmetry is under pressure from LHC searches requiring colored
superpartners to be heavy. We demonstrate R-parity violating spectra for which
the dominant signatures are not currently well searched for at the LHC. In such
cases, the bounds can be as low as 800 GeV on both squarks and gluinos. We
demonstrate that there are nontrivial constraints on squark and gluino masses
with baryonic RPV (UDD operators) and show that in fact leptonic RPV can allow
comparable or even lighter superpartners. The constraints from many searches
are weakened if the LSP is significantly lighter than the colored
superpartners, such that it is produced with high boost. The LSP decay products
will then be collimated, leading to the miscounting of leptons or jets and
causing such models to be missed even with large production cross-sections.
Other leptonic RPV scenarios that evade current searches include the highly
motivated case of a higgsino LSP decaying to a tau and two quarks, and the case
of a long-lived LSP with a displaced decay to electrons and jets. The least
constrained models can have SUSY production cross-sections of ~pb or larger,
implying tens of thousands of SUSY events in the 8 TeV data. We suggest novel
searches for these signatures of RPV, which would also improve the search for
general new physics at the LHC.
