![]() There are advantages and disadvantages to studying each of these isotopes (costs, purity, Q-value, background signals, etc.), but the fact that different ones are being investigated is of great importance if an experimental confirmation is obtained for any of them. Experimentally, DBD of the isotopes 76Ge and 136Xe are currently the most accurately measured, but others like 48 Ca, 82Se, and 130Te are also investigated, with 124Sn being considered for the future. Many large-scale experiments dedicated to the discovery of this lepton number violating (LNV) decay are already collecting data, with up-dates and new ones planned for the future, but so far there is no experimental proof of 0ν ββ transitions, only reports of lower limits for the corresponding half-lives. Recording such an event would demonstrate that the lepton number conservation is violated by two units, but cannot indicate the mechanism that dominates this process. However, even if one 0ν ββ transition event would be experimentally observed, not all of the desired information about neutrinos would be immediately revealed. While there are many experimental and theoretical endeavors to bring clear answers to some of these questions, like high-precision calculations, measurements of different single-β decays, cosmological observations, the double-beta decay (DBD) and particularly the 0ν ββ decay mode are still considered the most appealing approaches to study the yet unknown properties of neutrinos. Because in neutrino oscillation experiments only squared mass differences can be measured, we still have unanswered questions regarding their absolute masses, the mass hierarchy, the underlying mechanism that gives neutrinos mass, and even the very nature of the neutrinos (whether they are Dirac or Majorana particles). Although this discovery was a significant one, many of the neutrino properties still remain unknown to this day. Two decades ago, the successful experimental measurement of neutrino oscillations established that neutrinos have a mass different from zero. Finally, using the values obtained for the BSM parameters from one of the most sensitive double-beta decay experiments, we provide a comparison with the sensitivities of other experiments. Next, using these calculations and the most recent experimental half-life limits, we revise the constraints on the BSM parameters violating the lepton number corresponding to four mechanisms that could contribute to 0ν ββ decay. In this work we make a brief review of the nuclear matrix elements and phase space factors calculations performed mainly by our group. Since the experimental discovery of neutrino oscillations, the search for the neutrinoless double beta (0ν ββ) decay has intensified greatly, as this particular decay mode, if experimentally discovered, could offer a testing ground for Beyond Standard Model (BSM) theories related to the yet hidden fundamental properties of neutrinos and the possibility of violating of some fundamental symmetries. 2Horia Hulubei National Institute for R&D in Physics and Nuclear Engineering, Department of Theoretical Physics, Mgurele, Romania.1International Centre for Advanced Training and Research in Physics, Mgurele, Romania.Andrei Neacsu 1,2 * Vasile Alin Sevestrean 1,2 Sabin Stoica 1,2
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