Multi-isotope degeneracy of neutrinoless double beta decay mechanisms in the quasi-particle random phase approximation

Abstract

We calculate nuclear matrix elements (NME) of neutrinoless double beta decay in four different candidate nuclei (Ge-76, Se-82, Mo-100, Te-130) within the quasiparticle random phase approximation (QRPA) and its uncertainties. We assume (up to) four coexisting mechanisms for neutrinoless double beta decay, mediated by light Majorana neutrino exchange, heavy Majorana neutrino exchange, R-parity breaking supersymmetry, and squark-neutrino, interfering either constructively or destructively with each other. We find that, unfortunately, current NME uncertainties appear to prevent a robust determination of the relative contribution of each mechanism to the decay amplitude, even assuming accurate measurements of decay lifetimes. The near-degeneracy of the decay mechanisms is analyzed with simple algebraic techniques, which do not involve assumptions about the statistical distribution of errors. We discuss implications of such degeneracy on prospective searches for absolute neutrino masses.

Expanded discussion and bibliography; to appear in Phys. Rev. D

References in corpus (19)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay within the PHFB model
• Pinning down the mechanism of neutrinoless double beta decay with measurements in different nuclei
• Overconstrained estimates of neutrinoless double beta decay within the QRPA
• Uncovering Multiple CP-Nonconserving Mechanisms of $\betabeta$-Decay
• Multiple-Isotope Comparison for Determining Neutrinoless Double-Beta Decay Mechanisms
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• Quasiparticle random phase approximation uncertainties and their correlations in the analysis of neutrinoless double beta decay
• Few active mechanisms of the neutrinoless double beta-decay and effective mass of Majorana neutrinos
• Pion dominance in RPV SUSY induced neutrinoless double beta decay
• Deformation effects and neutrinoless positron $\beta \beta$ decay of ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba and ${}^{156}$Dy isotopes within Majorona neutrino mass mechanism
• Probing particle and nuclear physics models of neutrinoless double beta decay with different nuclei
• Neutrinoless double beta decay: searching for new physics with comparison of different nuclei

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• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Theory of neutrinoless double beta decay
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• Neutrinoless Double Beta Decay and Physics Beyond the Standard Model
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Neutrinoless Double Beta Decay and Heavy Sterile Neutrinos
• Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing
• Analysis of Light Neutrino Exchange and Short-Range Mechanisms in $0\nu \beta \beta$ Decay
• Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations
• Recent Progress in Double Beta Decay
• Multiple CP Non-conserving Mechanisms of $\betabeta$-Decay and Nuclei with Largely Different Nuclear Matrix Elements
• Search for Neutrinoless Double-Beta Decay of ${}^{100}$Mo with the NEMO-3 Detector
• Uncovering Multiple CP-Nonconserving Mechanisms of $\betabeta$-Decay
• Vanishing effective mass of the neutrinoless double beta decay including light sterile neutrinos
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Shell-model calculation of neutrinoless double-$\beta$ decay of ${}^{76}$Ge
• The Effect of Cancellation in Neutrinoless Double Beta Decay
• Degeneracies of particle and nuclear physics uncertainties in neutrinoless double beta decay
• Neutrinoless Double Beta Decay in LRSM with Natural Type-II seesaw Dominance
• Constraining New Physics with a Positive or Negative Signal of Neutrino-less Double Beta Decay
• Probing the Mechanism of Neutrinoless Double-Beta Decay in Multiple Isotopes
• The flavor symmetry in the standard model and the triality symmetry
• Searches for neutrinoless double beta decay
• Neutrinoless double-beta decay and seesaw mechanism
• Interplay between non-interfering neutrino exchange mechanisms and nuclear matrix elements in $0\nu \beta \beta$ decay
• The Nature of Massive Neutrinos
• Construction of lepton mass matrices and TeV-scale phenomenology in the minimal left-right symmetric model