The search for neutrinoless double beta decay in 130Te with CUORE-0

This thesis describes the design, operation and results of an experimental search for neutrinoless double beta decay (0nubetabeta) of 130 Te using the CUORE-0 detector. The discovery of 0nubetabeta would have profound implications for particle physics and our understanding of the Universe.;Its discovery would demonstrate the violation of lepton number and imply that neutrinos are Majorana fermions and therefore their own anti-particles. Combined with other experimental results, the discovery of 0nubetabeta could also have implications for understanding the absolute neutrino mass scale as well as the presently unknown neutrino mass hierarchy.;The CUORE experiment is a ton-scale search for 0nubetabeta in 130Te expected to begin operation in late 2015. The first stage of this experiment is a smaller 39-kg active-mass detector called CUORE-0. This detector contains 11~kg of 130Te and operates in the Laboratori Nazionali del Gran Sasso lab in Italy from 2013--2015.;The results presented here are based on a natTeO 2 exposure of 35.2 kg·yr, or 9.8 kg·yr exposure of 130Te collected between 2013 -- 2015. We see no evidence of 0nubetabeta and place an upper limit on the 0nubetabeta decay rate of Gamma 0nubetabeta 2.8 x 1024 yr (90% C.L.).;We combine the present result with the results of previous searches in 130Te. Combining it with the 1.2 kg·yr 130Te exposure from the Three Towers Test run we place a half-life limit of T 0nu1/2 >3.3 x 1024 yr (90% C.L.). And combining these results with the 19.75 kg·yr 130Te exposure from Cuoricino, we place the strongest limit on the 0nubetabeta half-life of 130Te to date, at T0nu1/2 > 4.5 x 1024 yr (90% C.L.). Using the present nuclear matrix element calculations for 130Te, this result corresponds to a 90% upper limit range on the effective Majorana mass of m betabeta < 250--710 meV.