Recent Results and Plans of the NA64 Experiment at the CERN SPS

The NA64 experiment at the CERN SPS is primarily designed for a search for Light Dark Matter (LDM) particles and corresponding mediators, the most popular of which is a vector boson A' (Dark Photon) kinetically mixed with the ordinary photon. However, other types of mediators and more complex models are also possible. The main search method is a missing energy technique. The sensitivity reached with \(9.37 \times {{10}^{{11}}}\) electrons on its active target allowed to establish the best to-date limits on the LDM models parameters and partly cover the regions predicted by Thermal Dark Matter models that are well cosmologically motivated. Other directions of search for Feebly Interacting Particles (FIP) by NA64 are listed.