A Monte Carlo simulation to evaluate the pileup effects on the sensitivity to neutrino mass for the mare experiment

In this work, we have developed a Monte Carlo simulation as a tool to analyze the effect of the pulse-pileup on the sensitivity to the neutrino mass. It can be used as a guidance to fix the required properties in time response of the single pixel micro-calorimeter and to study the effects of noise on the pileup identification capability. This Monte Carlo simulation involves the numerical generation of noise in the time domain and bolometer thermal signals. The first goal is to determine the efficiency of discrimination algorithms in recognizing pulse pileup in dependence of the time separation between two pulses, their amplitude ratio and the structure of the noise. We have developed a code based on the Carson theorem able to generate noise with pre-assigned frequency power spectrum, while different software is used to generate thermal pulses with tracked time gap. These tools can be used to improve the discrimination techniques used in the analysis. The second goal consists of generating pulses with amplitudes distributed as the 187 Re beta energy spectrum and to study the effects on the neutrino mass sensitivity due to the distortions of this spectrum induced by pileup in different noise conditions