  The paper contains description of the main properties of the galactic dark
matter (DM) particles, available approaches for detection of DM, main features
of direct DM detection, ways to estimate prospects for the DM detection, the
first collider search for a DM candidate within an Effective Field Theory,
complete review of ATLAS results of the DM candidate search with LHC RUN I, and
less complete review of "exotic" dark particle searches with other accelerators
and not only. From these considerations it follows that one is unable to prove,
especially model-independently,a discovery of a DM particle with an
accelerator, or collider. One can only obtain evidence on existence of a weakly
interacting neutral particle, which could be, or could not be the DM candidate.
The current LHC DM search program uses only the missing transverse energy
signature. Non-observation of any excess above Standard Model expectations
forces the LHC experiments to enter into the same fighting for the best
exclusion curve, in which (almost) all direct and indirect DM search
experiments permanently take place. But this fighting has very little (almost
nothing) to do with a real possibility of discovering a DM particle. The true
DM particles possess an exclusive galactic signature --- annual modulation of a
signal, which is accessible today only for direct DM detection experiments.
There is no way for it with a collider, or accelerator. Therefore to prove the
DM nature of a collider-discovered candidate one must find the candidate in a
direct DM experiment and demonstrate the galactic signature for the candidate.
Furthermore, being observed, the DM particle must be implemented into a modern
theoretical framework. The best candidate is the supersymmetry, which looks
today inevitable for coherent interpretation of all available DM data.
