  The most recent searches by the ATLAS and CMS Collaborations in final states
with soft leptons and missing transverse energy show mild excesses
predominantly associated with dilepton invariant masses of about 10-20 GeV,
which can result from decays of electroweakinos that are heavier than the
lightest neutralino by O(10) GeV. On the other hand, these analyses are
insensitive to electroweakino mass splittings smaller than about 5 GeV. In
previous work, we demonstrated that while recent searches in the monojet
channel can exclude some of the smallest O(1) GeV mass splitting configurations
for electroweakinos, they also exhibit excesses that can overlap with the
soft-lepton excesses in certain models, including a simplified scenario with
pure higgsinos. In this work we dive deeper into these excesses, studying the
analyses in detail and exploring an array of models that go beyond the
simplified scenarios considered by the experimental collaborations. We show
that, in the Minimal Supersymmetric Standard Model, the overlapping excesses
are not unique to the pure-higgsino limit, instead persisting in realistic
parameter space featuring a bino-like lightest supersymmetric particle with
some wino admixture. On the other hand, for the Next-to-Minimal Supersymmetric
Standard Model with a singlino-like lightest supersymmetric particle and
higgsino-like next-to-lightest supersymmetric particle(s), the excess in the
two-lepton channel fits rather well with the parameter space predicting the
correct relic abundance through freeze out, but the monojet fit is much poorer.
Interestingly, the excesses either do not overlap or do not exist at all for
two non-supersymmetric models seemingly capable of producing the correct final
states.
