Constraining Neutrinoless Double-Beta Decay Matrix Elements from Ab Initio Nuclear Theory

Abstract

As experimental searches for neutrinoless double-beta ($0\nu \beta \beta$) decay are entering a new generation, with hopes to completely probe the inverted mass hierarchy, the need for reliable nuclear matrix elements, which govern the rate of this decay, is stronger than ever. Since a large discrepancy in results is typically found with nuclear modela, a large unknown still exists on the sensitivity of these experiments to the effective neutrino mass. We consider this problem from a first-principles perspective, using the ab initio valence-space in medium similarity renormalization group. In particular, we study correlations of the $0\nu \beta \beta$-decay matrix elements in ${}^{76}$Ge with other observables, such as the double Gamow-Teller giant resonance, from 34 input chiral interactions in an attempt to constrain our uncertainties and investigate the interaction dependence of the nuclear matrix element.

arXiv comment4 pages, 1 figure, contribution to MEDEX'22

References in corpus (20)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• A nucleus-dependent valence-space approach to nuclear structure
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Eigenvector continuation with subspace learning
• Converged ab initio calculations of heavy nuclei
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Dawning of the N=32 shell closure seen through precision mass measurements of neutron-rich titanium isotopes
• Ab initio neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se
• Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ decay
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Neutrinoless double beta decay and lepton number violation at the LHC
• Ab initio studies of double Gamow-Teller transition and its correlation with neutrinoless double beta decay
• Neutrinoless Double-Beta Decay: A Roadmap for Matching Theory to Experiment

Cited by in corpus (3)

• Global Framework for Emulation of Nuclear Calculations
• Subspace-projected multireference covariant density functional theory
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions