  The unfortunate case where the Large Hadron Collider (LHC) fails to discover
physics Beyond the Standard Model (BSM) is sometimes referred to as the
"Nightmare scenario" of particle physics. We study the consequences of this
hypothetical scenario for Dark Matter (DM), in the framework of the constrained
Minimal Supersymmetric Standard Model (cMSSM). We evaluate the surviving
regions of the cMSSM parameter space after null searches at the LHC, using
several different LHC configurations, and study the consequences for DM
searches with ton-scale direct detectors and the IceCube neutrino telescope. We
demonstrate that ton-scale direct detection experiments will be able to
conclusively probe the cMSSM parameter space that would survive null searches
at the LHC with 100fb$^{-1}$ of integrated luminosity at 14TeV. We also
demonstrate that IceCube (80 strings plus DeepCore) will be able to probe as
much as 17% of the currently favoured parameter space after 5 years of
observation.
