| Abstract: | In the absence of evidence for new physics at the LHC, it is important to
think beyond the standard scenarios of natural theories and the
signatures they predict. I will motivate two non-standard theories
that may address the naturalness problem: supersymmetric models with
R-parity violation and models of neutral naturalness. Both scenarios
predict non-standard LHC signatures in the form of displaced decays.
We derive the first limits on classes of non-standard supersymmetric
models with long-lived lightest superpartners, as well as the first
constraints on a displaced Higgs boson with a lifetime less than 10
cm. After obtaining the results from LHC Run 1, we propose search
strategies and present projections for LHC Run 2.
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