Abstract
The Cryogenic Underground Observatory for Rare Events (CUORE) is the first cryogenic experiment searching for 0nu beta beta decay that has been able to reach the one-tonne mass scale. The detector, located at the Laboratori Nazionali del Gran Sasso (LNGS) in Italy, consists of an array of 988 {mathrm{TeO}}_{2} crystals arranged in a compact cylindrical structure of 19 towers. CUORE began its first physics data run in 2017 at a base temperature of about 10 mK and in April 2021 released its 3{mathrm{rd}} result of the search for 0nu beta beta , corresponding to a tonne-year of mathrm{TeO}_{2} exposure. This is the largest amount of data ever acquired with a solid state detector and the most sensitive measurement of 0nu beta beta decay in {}^{130}mathrm{Te} ever conducted . We present the current status of CUORE search for 0nu beta beta with the updated statistics of one tonne-yr. We finally give an update of the CUORE background model and the measurement of the {}^{130}mathrm{Te}2nu beta beta decay half-life and decay to excited states of {}^{130}mathrm{Xe}, studies performed using an exposure of 300.7 kg yr.
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