  We re-assess the exclusion limits on the parameters describing the
supersymmetric (SUSY) electroweak sector of the MSSM obtained from the search
for direct chargino-neutralino production at the LHC. We start from published
limits obtained in simplified models, where for the case of heavy sleptons the
relevant branching ratio, BR(neu2->neu1 Z), is set to one. We show how the
decay mode neu2->neu1 h, which cannot be neglected in any realistic model once
kinematically allowed, substantially reduces the excluded parameter region. We
analyze the dependence of the excluded regions on the phase of the gaugino soft
SUSY-breaking mass parameter, M_1, on the mass of the light scalar tau, on tb
as well as on the squark and slepton mass scales. Large reductions in the
ranges of parameters excluded can be observed in all scenarios. The branching
ratios of charginos and neutralinos are evaluated using a full NLO calculation
for the complex MSSM. The size of the effects of the NLO calculation on the
exclusion bounds is investigated. We furthermore assess the potential reach of
the experimental analyses after collecting 100/fb at the LHC running at 13 TeV.
