Pileup rejections studies for the CUPID experiment

CUPID (CUORE Upgrade with Particle IDentification) is the proposed upgrade to the cryogenic calorimetric experiment CUORE. CUPID is designed to search the neutrinoless double beta decay of $^{100}$Mo and a major background for this experiment will be the pile-up of multiple two neutrino double beta decay events. To address this problem, we simulated the detector response with a dedicated software tool. We produced controlled data streams with different characteristics, to select constraints on CUPID design parameters. In addition, we also tried different algorithms to find a processing capable of maximizing the pileup rejection. In this contribution, the latest results on this subject will be presented, outlying the needed steps to be taken towards an efficient pile-up rejection. This work is supported by the US DOE Office of Nuclear Physics, the US NSF, and internal investments at all institutions.