A Statistical Analysis for the Neutrinoless Double-Beta Decay Matrix element of 48Ca

Abstract

Neutrinoless double beta decay (0νββ) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and are very important for analysis and guidance of a large number of experimental efforts. However, there are large discrepancies between the NME values provided by different methods. In this paper we propose a statistical analysis of the 48 Ca 0νββ NME using the interacting shell model, emphasizing the range of the NME probable values and its correlations with observables that can be obtained from the existing nuclear data. Based on this statistical analysis with three independent effective Hamiltonians we propose a common probability distribution function for the 0νββ NME, which has a range of (0.45 -0.95) at 90% confidence level of, and a mean value of 0.68.

Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report

“…An initial study along these lines for the 0νββ decay of 48 Ca-48 Sc- 48 Ti system can be found in Ref. [159].…”

Majorana neutrino mass constraints in the landscape of nuclear matrix elements

“…However, no consensus estimates exist yet for NME fiducial values and covariances, although relevant work is in progress toward this goal [1,30]. Part of the planned strategy involves benchmarking nuclear models for 0νββ decay against a variety of data, coming from related electroweak and strong interaction processes or from nuclear structure [31][32][33].…”

Two-neutrino ββ decay of 136Xe to the first excited 0+ state in 136Ba

“…However, various many-body methods currently predict matrix elements that differ by up to a factor of a few [3] and almost all calculations miss an important recently acknowledged two-nucleon operator [4][5][6]. Since both 2νββ and 0νββ decays share initial and final states, are sensitive to spin and isospin operators, and may have correlated matrix elements [7,8], tests of M 2ν could help to reduce the theoretical uncertainties of 0νββ nuclear matrix elements.…”