Search for double-beta decay of $$\mathrm {^{130}Te}$$ to the $$0^+$$ states of $$\mathrm {^{130}Xe}$$ with CUORE

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