The Cryogenic Underground Observatory for Rare Events (CUORE) is the first bolometric experiment searching for neutrinoless double beta (0νββ) decay that has been able to reach the 1-ton scale. The detector consists of an array of 988 TeO2 crystals arranged in a cylindrical compact structure of 19 towers. The construction of the experiment and, in particular, the installation of all towers in the cryostat was completed in 2016 and data taking started in 2017. In this conference we present the 0νββ decay results of CUORE from examining a total TeO2 exposure of 86.3 kg yr, characterized by an effective energy resolution of 7.7 keV FWHM and a background in the region of interest of 0.014 counts/(keV kg yr). Based on these data, CUORE places a lower limit on the 0νββ decay half-life of (90% C.L.). We then discuss the latest updates in the analysis of background and in the evaluation of the half-life of 2νββ decay of 130Te.

The CUORE experiment is a large bolometric array searching for the lepton number violating neutrino-less double beta decay ($0 u\beta\beta$) in the isotope $\mathrm{^{130}Te}$. In this work we present the latest results on two searches for the double beta decay (DBD) of $\mathrm{^{130}Te}$ to the first $0^{+}_2$ excited state of $\mathrm{^{130}Xe}$: the $0 u\beta\beta$ decay and the Standard Model-allowed two-neutrinos double beta decay ($2 u\beta\beta$). Both searches are based on a 372.5 kg$\times$yr TeO$_2$ exposure. The de-excitation gamma rays emitted by the excited Xe nucleus in the final state yield a unique signature, which can be searched for with low background by studying coincident events in two or more bolometers. The closely packed arrangement of the CUORE crystals constitutes a significant advantage in this regard. The median limit setting sensitivities at 90\% Credible Interval (C.I.) of the given searches were estimated as $\mathrm{S^{0 u}_{1/2} = 5.6 \times 10^{24} \: \mathrm{yr}}$ for the ${0 u\beta\beta}$ decay and $\mathrm{S^{2 u}_{1/2} = 2.1 \times 10^{24} \: \mathrm{yr}}$ for the ${2 u\beta\beta}$ decay. No significant evidence for either of the decay modes was observed and a Bayesian lower bound at $90\%$ C.I. on the decay half lives is obtained as: $\mathrm{(T_{1/2})^{0 u}_{0^+_2} > 5.9 \times 10^{24} \: \mathrm{yr}}$ for the $0 u\beta\beta$ mode and $\mathrm{(T_{1/2})^{2 u}_{0^+_2} > 1.3 \times 10^{24} \: \mathrm{yr}}$ for the $2 u\beta\beta$ mode. These represent the most stringent limits on the DBD of $^{130}$Te to excited states and improve by a factor $\sim5$ the previous results on this process.

CUORE is a 741 kg array of 988 TeO$_2$ bolometeric crystals designed to search for the neutrinoless double beta decay of $^{130}$Te and other rare processes. CUORE has been taking data since summer 2017, and as of summer 2018 collected a total of 86.3 kg$\cdot$yr of TeO$_2$ exposure. Based on this exposure, we were able to set a limit on the $0 u\beta\beta$ half-life of $^{130}$Te of $T^{0 u}_{1/2}>1.5\times10^{25}$ yr at 90% C.L. At this conference, we showed the decomposition of the CUORE background and were able to extract a $^{130}$Te $2 u\beta\beta$ half-life of $T_{1/2}^{2 u}=[7.9\pm0.1 \mathrm{(stat.)}\pm0.2 \mathrm{(syst.)}]\times10^{20}$ yr. This is the most precise measurement of this half-life and is consistent with previous measurements.