Searches for new physics in high-multiplicity events with little or no
missing energy are an important component of the LHC program, complementary to
analyses that rely on missing energy. We consider the potential reach of
searches for events with a lepton and six or more jets, and show they can
provide increased sensitivity to many supersymmetric and exotic models that
would not be detected through standard missing-energy analyses. Among these are
supersymmetric models with gauge mediation, R-parity violation, and light
hidden sectors. Moreover, ATLAS and CMS measurements suggest the primary
background in this channel is from t-tbar, rather than W+jets or QCD, which
reduces the complexity of background modeling necessary for such a search. We
also comment on related searches where the lepton is replaced with another
visible object, such as a Z boson.Comment: 23 pages, 12 figures, 1 tabl