Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations

Abstract

Neutrinoless $\beta \beta$ decay nuclear matrix elements calculated with the shell model and energy-density functional theory typically disagree by more than a factor of two in the standard scenario of light-neutrino exchange. In contrast, for a decay mediated by sterile heavy neutrinos the deviations are reduced to about 50\%, an uncertainty similar to the one due to short-range effects. We compare matrix elements in the light- and heavy-neutrino-exchange channels, exploring the radial, momentum transfer and angular momentum-parity matrix element distributions, and considering transitions that involve correlated and uncorrelated nuclear states. We argue that the shorter-range heavy-neutrino exchange is less sensitive to collective nuclear correlations, and that discrepancies in matrix elements are mostly due to the treatment of long-range correlations in many-body calculations. Our analysis supports previous studies suggesting that isoscalar pairing correlations, which affect mostly the longer-range part of the neutrinoless $\beta \beta$ decay operator, are partially responsible for the differences between nuclear matrix elements in the standard light-neutrino-exchange mechanism.

arXiv comment20 pages, 8 figures, published version

References in corpus (66)

• The Shell Model as Unified View of Nuclear Structure
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Theory of neutrinoless double beta decay
• Phase space factors for double-$\beta$ decay
• Axial structure of the nucleon
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Shell model study of the isobaric chains A=50, A=51 and A=52
• Neutrinoless double beta decay: 2015 review
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• The realistic collective nuclear Hamiltonian
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Quantum Phase Transition in the Shape of Zr isotopes
• Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
• Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
• Search for Neutrinoless Double-Beta Decay of ${}^{130}$Te with CUORE-0
• Neutrinoless double beta decay in seesaw models
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Shape and pairing fluctuations effects on neutrinoless double beta decay nuclear matrix elements
• Average and recommended half-life values for two neutrino double beta decay
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Neutrinoless double-beta decay and effective field theory
• Shell model predictions for ${}^{124}$Sn double-beta decay
• Sterile neutrinos in neutrinoless double beta decay
• Arbitrary mass Majorana neutrinos in neutrinoless double beta decay
• Nuclear structure aspects of spin-independent WIMP scattering off xenon
• Exotic neutron-rich medium-mass nuclei with realistic nuclear forces
• Neutrinoless double beta decay of deformed nuclei within QRPA with realistic interaction
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Large-scale shell-model analysis of the neutrinoless $\beta \beta$ decay of ${}^{48}$Ca
• Pinning down the mechanism of neutrinoless double beta decay with measurements in different nuclei
• Relativistic description of nuclear matrix elements in neutrinoless double-$\beta$ decay
• Neutrinoless double beta decay of 48Ca in the shell model: Closure versus nonclosure approximation
• Nuclear Structure Aspects of the Neutrinoless Double Beta Decay
• Neutrinoless $\beta \beta$ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• Collectivity in the light Xenon isotopes: A shell model study
• Multiple-Isotope Comparison for Determining Neutrinoless Double-Beta Decay Mechanisms
• The isotensor axial polarisability and lattice QCD input for nuclear double-$\beta$ decay phenomenology
• Proton-Neutron Pairing Amplitude as a Generator Coordinate for Double-Beta Decay
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Multi-isotope degeneracy of neutrinoless double beta decay mechanisms in the quasi-particle random phase approximation
• Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method
• Effective double-beta-decay operator for 76Ge and 82Se
• Neutrinoless double beta decay and chiral $SU(3)$
• Limits on sterile neutrino contributions to neutrinoless double beta decay
• Testing the importance of collective correlations in neutrinoless $\beta \beta$ decay
• Analysis of mechanisms that could contribute to the neutrinoless double-beta decay
• Neutrinoless $\beta \beta$ decay nuclear matrix elements in an isotopic chain
• Two-neutrino double-beta decay of ${}^{150}$Nd to excited final states in ${}^{150}$Sm
• Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay
• Correlations and neutrinoless $\beta \beta$ decay nuclear matrix elements of $pf$-shell nuclei
• Neutrinoless double beta decay studied with configuration mixing methods
• Degeneracies of particle and nuclear physics uncertainties in neutrinoless double beta decay
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay II: the heavy Majorana neutrino mass mechanism
• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
• Effective Operators for Double-Beta Decay
• Neutron-proton pairing and double-beta decay in the interacting boson model
• Novel Nuclear Structure Aspects of the Neutrinoless Double Beta Decay

Cited by in corpus (64)

• Final Results of GERDA on the Search for Neutrinoless Double-$\beta$ Decay
• Toward the discovery of matter creation with neutrinoless double-beta decay
• NEXO: Neutrinoless double beta decay search beyond $10^{28}$ year half-life sensitivity
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• A neutrinoless double beta decay master formula from effective field theory
• The $0\nu \beta \beta$-decay nuclear matrix element for light and heavy neutrino mass mechanisms from deformed QRPA cacluations for ${}^{76}$Ge, ${}^{82}$Se, ${}^{130}$Te, ${}^{136}$Xe and ${}^{150}$Nd with isospin restoration
• Final Result of the MAJORANA DEMONSTRATOR's Search for Neutrinoless Double-$\beta$ Decay in ${}^{76}$Ge
• Heavy physics contributions to neutrinoless double beta decay from QCD
• Neutrino Self-Interactions and Double Beta Decay
• Impact of the leading-order short-range nuclear matrix element on the neutrinoless double-beta decay of medium-mass and heavy nuclei
• Gamow-Teller strength in ${}^{48}$Ca and ${}^{78}$Ni with the charge-exchange subtracted second random-phase approximation
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Unraveling the $0\nu \beta \beta$ Decay Mechanisms
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Demonstration of neutrinoless double beta decay searches in gaseous xenon with NEXT
• $\gamma \gamma$ decay as a probe of neutrinoless $\beta \beta$ decay nuclear matrix elements
• Search for Light Exotic Fermions in Double-Beta Decays
• Testing the Inverted Neutrino Mass Ordering with Neutrinoless Double-Beta Decay
• $\nu$DoBe -- A Python Tool for Neutrinoless Double Beta Decay
• Combined Constraints on Majorana Masses from Neutrinoless Double Beta Decay Experiments
• Neutrinoless double-beta decay from an effective field theory for heavy nuclei
• The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
• Benchmarking ${}^{136}$Xe Neutrinoless $\beta \beta$ Decay Matrix Element Calculations with the ${}^{138}\mathrm{Ba}(p,t)$ Reaction
• Probing the Mechanism of Neutrinoless Double-Beta Decay in Multiple Isotopes
• Sterile neutrinos with non-standard interactions in $\beta$- and $0\nu \beta \beta$-decay experiments
• Hiding neutrinoless double beta decay in the minimal seesaw mechanism
• Light Sterile Neutrinos, Left-Right Symmetry, and $0\nu \beta \beta$ Decay
• Search for Majoron-like particles with CUPID-0
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Neutrinoless double beta decay in Left-Right symmetric model with double seesaw mechanism
• Present Status of Nuclear Shell-Model Calculations of Neutrinoless Double-Beta Decay Matrix Elements
• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• Lattice QCD calculation of light sterile neutrino contribution in $0\nu 2\beta$ decay
• Nuclear matrix elements for $\lambda$ mechanism of $0\nu \beta \beta$ of ${}^{48}$Ca in nuclear shell-model: Closure versus nonclosure approach
• Neutrinoless Double Beta Decay Sensitivity of the XLZD Rare Event Observatory
• ${}^{138}\mathrm{Ba}(d,\alpha )$ study of states in ${}^{136}\mathrm{Cs}$: Implications for new physics searches with xenon detectors
• Uncovering a chirally suppressed mechanism of $0\nu \beta \beta$ decay with LHC searches
• Impact of isovector pairing fluctuation on neutrinoless double-beta decay in multi-reference covariant density functional theory
• Impact of nuclear matrix element calculations for current and future neutrinoless double beta decay searches
• Neutrinoless Double Beta Decay from Lattice QCD: The Short-Distance ${\pi }^{-}\to {\pi }^{+}{e}^{-}{e}^{-}$ Amplitude
• NMEs for $0\nu \beta \beta (0^{+}\to 2^{+})$ of two-nucleon mechanism for ${}^{76}$Ge
• Two-neutrino $\beta \beta$ decay of ${}^{136}$Xe to the first excited $0^{+}$ state in ${}^{136}$Ba
• Probing the Nature of Heavy Neutral Leptons in Direct Searches and Neutrinoless Double Beta Decay
• Is it possible to study neutrinoless $\beta \beta$ decay by measuring double Gamow-Teller transitions?
• Confronting the low-scale seesaw and leptogenesis with neutrinoless double beta decay
• Nuclear matrix elements of neutrinoless double-beta decay in covariant density functional theory with different mechanisms
• Interplay between non-interfering neutrino exchange mechanisms and nuclear matrix elements in $0\nu \beta \beta$ decay
• Unravelling the left-right mixing using $0\nu \beta \beta$ decay and collider probes
• Correlating $0\nu \beta \beta$ decays and flavor observables in leptoquark models
• Inference of neutrino nature and Majorana CP phases from $0\nu \beta \beta$ decays with inverted mass ordering
• Towards Reliable Nuclear Matrix Elements for Neutrinoless $\beta \beta$ Decay
• Effective field theories for collective excitations of atomic nuclei
• Effects of perturbation for transition operator of double-$\beta$ decay on nuclear matrix element, effective axial-vector current coupling, and half-life
• $0\nu \beta \beta$ to the first $2^{+}$ state with two-nucleon mechanism for L-R symmetric model
• Scalarful double beta decay
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Neutrinoless double beta decay in effective field theory
• The study of $0\nu \beta \beta$ decay of ${}^{136}$Xe using nonclosure approach in nuclear shell model
• Investigating two-zero texture in the light of gauged Type-II seesaw
• Scalar-induced Neutrinoless Double Beta Decay in $SU(5)$
• Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay
• Majorana neutrino mass constraints in the landscape of nuclear matrix elements