  The lack of evidence for the production of colored supersymmetric particles
at the LHC has increased interest in searches for superpartners of the
electroweak SM gauge bosons, namely the neutralinos and charginos. These are
challenging due to the weak nature of the production process, and the existing
discovery reach has significant gaps in due to the difficulty of separating the
supersymmetric signal from SM diboson events that produce similar final states
and kinematics. We apply the Recursive Jigsaw Reconstruction technique to study
final states enriched in charged leptons and missing transverse momentum,
focusing on compressed topologies with direct production of charginos and
neutralinos decaying to the lightest neutral supersymmetric particle through
the emission of W and Z bosons. After presenting prototype analysis designs for
future LHC runs, we demonstrate that its detectors have the potential to probe
a significant amount of unexplored parameter space for chargino-neutralino
associated production within the next few years, and show that the very
challenging successful search for chargino pair production with compressed
spectra might be possible by the end of the LHC lifetime.
