The high intensity frontier in particle physics would reveal physics beyond standard model, and is one of the most sensitive probing tools for particle physics at very high energy scales. In this paper, the high intensity frontier in particle physics is reviewed from the perspective of muon and antiproton physics and the experiments like charged lepton flavor violation are summarized. The possible utilization of HIAF accelerators in muon electron conversion searching and ultra-high precision measurement of muon anomalous magnetic moment is demonstrated. The preliminary analysis considering solely the signal statistics indicates that the muon and antiproton beams produced by the experimental platform of the HIAF accelerators would be quite competitive compared to the available beams around the world. By employing HIAF accelerators, the upper limit of muon electron conversion branching ratio could be pushed to the order of 10−19, and the measurement of muon anomalous magnetic moment would be potentially improved to the precision of 0.07 ppm.