Abstract
Since the experimental discovery of neutrino oscillations, the search for the neutrinoless double beta (0νββ) 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. In this work we make a brief review of the nuclear matrix elements and phase space factors calculations performed mainly by our group. 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 0νββ decay. 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.
Highlights
Two decades ago, the successful experimental measurement of neutrino oscillations [1, 2] established that neutrinos have a mass different from zero
Theoretical studies of 0νββ involve the computation of nuclear matrix elements (NME) and phase space factors (PSF) appearing in the half-life expressions, whose precise calculation is essential for predicting the neutrino properties and interpretation of the double-beta decay (DBD) experimental data
We present and discuss the NME and PSF calculations that were recently published by our group
Summary
The successful experimental measurement of neutrino oscillations [1, 2] established that neutrinos have a mass different from zero. The most commonly used nuclear structure approaches for the NME calculation are protonneutron Quasi Random Phase Approximation (pnQRPA) [3,4,5,6,7,8,9,10,11], Interacting Shell Model (ISM) [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30], Interacting Boson Model (IBM-2) [31,32,33,34,35], Projected Hartree Fock Bogoliubov method (PHFB) [36], Energy Density Functional method (EDF) [37], and the Relativistic Energy Density Functional method (REDF) [38] Each of these methods presents various advantages and disadvantages when compared to each other, especially when dealing with the nuclear structure of particular isotopes. We use the calculated values of the LNV parameters deduced with the half-life limits taken from the 76Ge experiment [50], to evaluate the half-lives of the other four isotopes that should be achieved by their experiments to reach the sensitivity of the Ge experiment
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
