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Random coincidence of events (particularly from two neutrino double betadecay) could be one of the main sources of background in the search forneutrinoless double beta decay with cryogenic bolometers due to their poor timeresolution. Pulse-shape discrimination by using front edge analysis, mean-timeand $\chi^2$ methods was applied to discriminate randomly coinciding events inZnMoO$_4$ cryogenic scintillating bolometers. These events can be effectivelyrejected at the level of 99% by the analysis of the heat signals with rise-timeof about 14 ms and signal-to-noise ratio of 900, and at the level of 92% by theanalysis of the light signals with rise-time of about 3 ms and signal-to-noiseratio of 30, under the requirement to detect 95% of single events. Theserejection efficiencies are compatible with extremely low background levels inthe region of interest of neutrinoless double beta decay of $^{100}$Mo forenriched ZnMoO$_4$ detectors, of the order of $10^{-4}$ counts/(y keV kg).Pulse-shape parameters have been chosen on the basis of the performance of areal massive ZnMoO$_4$ scintillating bolometer. Importance of thesignal-to-noise ratio, correct finding of the signal start and choice of anappropriate sampling frequency are discussed.

Rejection of randomly coinciding events in ZnMoO$_4$ scintillating bolometers