Colloquium: Mihai Horoi

Statistical Approaches to Evaluating Nuclear Matrix Elements for Double Beta Decay

Double-beta decay (DBD) is an actively studied process due to its potential to provide deeper insight into the nuclear structure of the nuclei involved, neutrino properties, and tests of models beyond the Standard Model of particle physics. In my talk, I will present new statistical methods for assessing the values and uncertainties of the nuclear matrix elements for neutrinoless double beta decay, two-neutrino double beta decay, two-neutrino double electron capture, and neutrinoless double electron capture. The analyses are performed within the traditional shell model approach. Examples from 76Ge, 124Xe, and 136Xe will be provided.