important to examine models with more exotic final states (see [35] for a recent brief
review). Possibilities may include displaced decays (for the signatures we study, these were
already well constrained by 8 TeV data [36, 37], while displaced leptons are less tested [38]);
and collimated particles that fail isolation such as “dirty leptons” [39, 40] and “lepton
jets” [41–43]. Also, we have ignored tau leptons in this work, assuming that they will be
at least as stringently constrained by either jets+MET or lepton-based searches. It might
be worthwhile to test this assumption more rigorously, e.g. in the case of displaced taus
where there are important gaps in coverage [38].
On the model building side, there are several, well-known extensions of the MSSM
(e.g. Dirac gauginos) which provide loopholes to the tuning bounds. These are not con-
sidered here, but they are increasingly well-motivated. We will discuss them further in
section 5. Even within the more conventional context of natural SUSY with light higgsinos,
stops and gluinos, there are many interesting model building directions to pursue. As dis-
cussed above, we will show that ∆ ≤ 10 requires a very low messenger scale (Λ . 100 TeV),
and this is an important constraint of future models of natural SUSY. This is especially
true for models of Effective SUSY, since these constructions generally tie SUSY breaking
to the generation of flavor in the SM. This would mean that flavor must also be generated
at an extremely low scale, and it is not at all obvious that this is viable. Some examples
of previous attempts include refs. [44–48]. Also, we find that adding a HV/Stealth sector
to the MSSM can trade MET for jets and greatly reduce the bounds. It is interesting
to speculate whether this additional sector could be used for anything else, such as dark
matter or raising the Higgs mass. More generally, obtaining a 125 GeV Higgs is a major
issue for natural SUSY and requires going beyond the MSSM, and it is interesting to think
about whether extensions of the MSSM which succeed in raising the Higgs mass could also
help to hide SUSY at the LHC.
This paper is organized as follows. In section 2, we describe our methodology for rein-
terpreting LHC searches (with additional information provided in appendix A). The models
of natural SUSY we consider are described in section 3, and the resulting experimental lim-
its on these models in section 4. We conclude in section 5 with projections for the future
reach of the LHC and model-building directions suggested by the existing constraints.
2 Recasted searches and methodology
In the following sections, we will consider the status of natural SUSY after the most recent
results from the 13 TeV LHC, as mostly reported in the ICHEP 2016 conference [1]. These
results, using 12 − 18 fb
−1
of data from CMS and ATLAS, greatly extend the experimen-
tal reach of the LHC for gluinos and squarks. We concentrate on the searches listed in
table 1, each of which has many signal regions (SRs) that target specific mass spectra and
supersymmetric production modes.
4
4
We also considered the ATLAS 7-10 jets+MET search [49] with 3.2/fb and the CMS black hole
search [50] with 2.2/fb. Due to the strong possibility of control-region contamination, the latter neces-
sitated a conservative reinterpretation along the lines of [9]. Neither search set the strongest limit in any
of the simplified models considered in this paper, so they are not included here. However, an update of the
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