# CUORE Sensitivity to $0\nu\beta\beta$ Decay

## TL;DR

This study evaluates CUORE's potential to detect or exclude neutrinoless double beta decay, using Bayesian methods to estimate sensitivity based on background levels and energy resolution over different operational periods.

## Contribution

It introduces a Bayesian analysis framework with toy Monte Carlo simulations to assess CUORE's sensitivity to $0
uetaeta$ decay, considering various experimental conditions.

## Key findings

- CUORE can exclude $T_{1/2}^{0
u}$ up to 2×10^{25} years in 3 months.
- Sensitivity improves to 9×10^{25} years over 5 years of data.
- Discovery potential reaches 4×10^{25} years after 5 years.

## Abstract

We report a study of the CUORE sensitivity to neutrinoless double beta ($0\nu\beta\beta$) decay. We used a Bayesian analysis based on a toy Monte Carlo (MC) approach to extract the exclusion sensitivity to the $0\nu\beta\beta$ decay half-life ($T_{1/2}^{0\nu}$) at $90\%$ credibility interval (CI) -- i.e. the interval containing the true value of $T_{1/2}^{0\nu}$ with $90\%$ probability -- and the $3 \sigma$ discovery sensitivity. We consider various background levels and energy resolutions, and describe the influence of the data division in subsets with different background levels. If the background level and the energy resolution meet the expectation, CUORE will reach a $90\%$ CI exclusion sensitivity of $2\cdot10^{25}$ yr with $3$ months, and $9\cdot10^{25}$ yr with $5$ years of live time. Under the same conditions, the discovery sensitivity after $3$ months and $5$ years will be $7\cdot10^{24}$ yr and $4\cdot10^{25}$ yr, respectively.