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The NA64 electron beam program comprises of a high sensitivity search forvisible and invisible decays of the hypothetical dark photon, $A'$, with a goalto either observe the sub-GeV Dark Matter mediator or exclude most of the modelparameter space. The visible channel search also includes clarification of theorigin of the $^8$Be anomaly observed by the Atomki experiment. The NA64collaboration further aims to expand its searches with a proposal to use themuon beam at the CERN M2 beam line which will focus on the unique possibilityto search for a new scalar or vector states weakly coupled predominantly tomuons, e.g. a new Z$_\mu$ gauge boson of L$_\mu$ - L$_\tau$ symmetry, whichmight explain the long standing muon (g-2)$_\mu$ anomaly. It will also includesearches for the Z$_\mu$ as a vector mediator of Dark Matter production. Withinthe Conventional Beam Working Group of the Physics Beyond Colliders (PBC)study, several projects for the muon beamline (M2) in the CERN North Area wereproposed. The different experimental requirements and the various technicalfeasibility studies performed by the group will be presented together with thecombined results of NA64 electron beam run between 2016-2018, its future plansand the muon proposal with its planned searches.

Search for Dark Sector Physics at the NA64 experiment in the context of the Physics Beyond Colliders Project