Quasiparticle random phase approximation uncertainties and their correlations in the analysis of neutrinoless double beta decay

Abstract

The variances and covariances associated to the nuclear matrix elements (NME) of neutrinoless double beta decay are estimated within the quasiparticle random phase approximation (QRPA). It is shown that correlated NME uncertainties play an important role in the comparison of neutrinoless double beta decay rates for different nuclei, and that they are degenerate with the uncertainty in the reconstructed Majorana neutrino mass.

Misprints (in Tables I and VI, and in Figs. 3 and 5) corrected. References and clarifying paragraphs added. Title changed in journal (QRPA acronym expanded). Matches published version [PRD 79, 053001 (2009)]

References in corpus (27)

• Massive neutrinos and cosmology
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Search for neutrinoless double beta decay with enriched 76Ge in Gran Sasso 1990-2003
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Double Beta Decay
• Neutrino mass limit from tritium beta decay
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• Observables sensitive to absolute neutrino masses. II
• The Absolute Neutrino Mass Scale, Neutrino Mass Spectrum, Majorana CP-Violation and Neutrinoless Double-Beta Decay
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Absolute Values of Neutrino Masses: Status and Prospects
• Observables sensitive to absolute neutrino masses: Constraints and correlations from world neutrino data
• Observables sensitive to absolute neutrino masses: A reappraisal after WMAP-3y and first MINOS results
• Pinning down the mechanism of neutrinoless double beta decay with measurements in different nuclei
• No-go for detecting CP violation via neutrinoless double beta decay
• Overconstrained estimates of neutrinoless double beta decay within the QRPA
• Multiple-Isotope Comparison for Determining Neutrinoless Double-Beta Decay Mechanisms
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• Neutrino mass from future high redshift galaxy surveys: sensitivity and detection threshold
• The possible test of the calculations of nuclear matrix elements of the $(\beta \beta {)}_{0\nu }$-decay
• An improved limit on the neutrino mass with CMB and redshift-dependent halo bias-mass relations from SDSS, DEEP2, and Lyman-Break Galaxies
• Double beta decay versus cosmology: Majorana CP phases and nuclear matrix elements
• Scaling Factor Inconsistencies in Neutrinoless Double Beta Decay

Cited by in corpus (35)

• Neutrinoless Double-Beta Decay: Status and Prospects
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Theory of neutrinoless double beta decay
• Neutrino-less Double Beta Decay and Particle Physics
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Global constraints on absolute neutrino masses and their ordering
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Probing New Physics Models of Neutrinoless Double Beta Decay with SuperNEMO
• Neutrinoless double beta decay and neutrino mass
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Recent Progress in Double Beta Decay
• Nuclear structure and double beta decay
• Neutrino masses and mixing: a flavour symmetry roadmap
• Vanishing effective mass of the neutrinoless double beta decay including light sterile neutrinos
• Multi-isotope degeneracy of neutrinoless double beta decay mechanisms in the quasi-particle random phase approximation
• CP Violation in the Lepton Sector and Implications for Leptogenesis
• Few active mechanisms of the neutrinoless double beta-decay and effective mass of Majorana neutrinos
• Neutrinoless Double Beta Decay, the Inverted Hierarchy and Precision Determination of theta(12)
• The Effect of Cancellation in Neutrinoless Double Beta Decay
• Empirical Survey of Neutrinoless Double Beta Decay Matrix Elements
• Degeneracies of particle and nuclear physics uncertainties in neutrinoless double beta decay
• Probing particle and nuclear physics models of neutrinoless double beta decay with different nuclei
• Probing the Mechanism of Neutrinoless Double-Beta Decay in Multiple Isotopes
• Neutrinoless double beta decay and QCD corrections
• Half-life Expectations for Neutrinoless Double Beta Decay in Standard and Non-Standard Scenarios
• Addendum to: QRPA uncertainties and their correlations in the analysis of 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
• Charged Higgs contribution to $0\nu 2\beta$ decay
• Progress in the understanding of neutrino properties
• Neutrinoless double beta decay: searching for new physics with comparison of different nuclei
• Least-Informative Priors for $0\nu \beta \beta$ Decay Searches
• $\rho$ exchange contribution to neutrinoless double beta decay
• Majorana neutrino mass constraints in the landscape of nuclear matrix elements
• Resonance axial-vector mass from experiments on neutrino-hydrogen and neutrino-deuterium scattering