Theory of neutrinoless double beta decay

Abstract

Neutrinoless double beta decay, which is a very old and yet elusive process, is reviewed. Its observation will signal that lepton number is not conserved and the neutrinos are Majorana particles. More importantly it is our best hope for determining the absolute neutrino mass scale at the level of a few tens of meV. To achieve the last goal certain hurdles have to be overcome involving particle, nuclear and experimental physics. Nuclear physics is important for extracting the useful information from the data. One must accurately evaluate the relevant nuclear matrix elements, a formidable task. To this end, we review the sophisticated nuclear structure approaches recently been developed, which give confidence that the needed nuclear matrix elements can be reliably calculated. From an experimental point of view it is challenging, since the life times are long and one has to fight against formidable backgrounds. If a signal is found, it will be a tremendous accomplishment. Then, of course, the real task is going to be the extraction of the neutrino mass from the observations. This is not trivial, since current particle models predict the presence of many mechanisms other than the neutrino mass, which may contribute or even dominate this process. We will, in particular, consider the following processes: (i)The neutrino induced, but neutrino mass independent contribution. (ii)Heavy left and/or right handed neutrino mass contributions. (iii)Intermediate scalars (doubly charged etc). (iv)Supersymmetric (SUSY) contributions. We will show that it is possible to disentangle the various mechanisms and unambiguously extract the important neutrino mass scale, if all the signatures of the reaction are searched in a sufficient number of nuclear isotopes.

104 pages, 6 tables, 25 figures.References added. To appear in ROP (Reports on Progress in Physics), copyright ROP

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• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Nuclear matrix elements of neutrinoless double beta decay with improved short-range correlations
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Short-range correlations and neutrinoless double beta decay
• Low Energy Signatures of the TeV Scale See-Saw Mechanism
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Double-beta decay Q values of 130Te, 128Te, and 120Te
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• Pinning down the mechanism of neutrinoless double beta decay with measurements in different nuclei
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• The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay
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• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• 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
• Nuclear deformation and neutrinoless double-$\beta$ decay of ${}^{94,96}$Zr, ${}^{98,100}$Mo, ${}^{104}$Ru, ${}^{110}$Pd, ${}^{128,130}$Te and ${}^{150}$Nd nuclei in mass mechanism
• Quasiparticle random phase approximation uncertainties and their correlations in the analysis of neutrinoless double beta decay
• Statistics of neutrinos and the double beta decay
• Neutrinoless double beta decay of ${}^{150}$Nd with account for deformation
• Few active mechanisms of the neutrinoless double beta-decay and effective mass of Majorana neutrinos
• Cosmological neutrino mass detection: The best probe of neutrino lifetime
• Pion dominance in RPV SUSY induced neutrinoless double beta decay
• Scintillating bolometers for Double Beta Decay search
• Corrections to the Neutrinoless Double-Beta-Decay Operator in the Shell Model
• Nuclear matrix element for two neutrino double beta decay from 136Xe
• Transition magnetic moments of Majorana neutrinos in supersymmetry without R-parity in light of neutrino oscillations
• MINOS neutrino oscillation results
• Jastrow functions in double-beta decay
• Can one measure nuclear matrix elements of neutrinoless double beta decay?

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• Update of Short-Baseline Electron Neutrino and Antineutrino Disappearance
• Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Natural TeV-Scale Left-Right Seesaw for Neutrinos and Experimental Tests
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• Discovery probability of next-generation neutrinoless double-$\beta$ decay experiments
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• First Results from the AMoRE-Pilot neutrinoless double beta decay experiment
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• Neutrinoless Double-Electron Capture
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
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• Measurement of the half-life of the two-neutrino double beta decay of Ge-76 with the Gerda experiment
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Shell model analysis of competing mechanism to the double-beta decay of ${}^{48}$Ca
• Impact of the leading-order short-range nuclear matrix element on the neutrinoless double-beta decay of medium-mass and heavy nuclei
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Gamow-Teller response and its spreading mechanism in doubly magic nuclei
• Enriched Zn${}^{100}$MoO${}_4$ scintillating bolometers to search for $0\nu 2\beta$ decay of ${}^{100}$Mo with the LUMINEU experiment
• Left-Right Symmetry and Lepton Number Violation at the Large Hadron Electron Collider
• Measurement of the $2\nu \beta \beta$ Decay Half-Life and Search for the $0\nu \beta \beta$ Decay of ${}^{116}$Cd with the NEMO-3 Detector
• A CaMoO4 Crystal Low Temperature Detector for the AMoRE Neutrinoless Double Beta Decay Search
• Neutrinoless double-$\beta$ decay of ${}^{82}$Se in the shell model: beyond closure approximation
• Predictions for Neutrinoless Double-Beta Decay in the 3+1 Sterile Neutrino Scenario
• Quenching of nuclear matrix elements for $0\nu \beta \beta$ decay by chiral two-body currents
• Low background techniques in bolometers for double-beta decay search
• Electromagnetic M1 transition strengths from inelastic proton scattering: The cases of 48Ca and 208Pb
• Search for $2\beta$ decay of ${}^{106}$Cd with enriched ${}^{106}$CdWO${}_4$ crystal scintillator in coincidence with four HPGe detectors
• Production of 82Se enriched Zinc Selenide (ZnSe) crystals for the study of neutrinoless double beta decay
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Measurement of the 2$\nu \beta \beta$ Decay Half-life of ${}^{130}$Te with CUORE
• Neutrinoless double-beta decay with massive scalar emission
• Investigation of double beta decay of ${}^{100}$Mo to excited states of ${}^{100}$Ru
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Rare $\beta$p decays in light nuclei
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• First bolometric measurement of the two neutrino double beta decay of ${}^{100}$Mo with a ZnMoO${}_4$ crystals array
• Analysis of mechanisms that could contribute to the neutrinoless double-beta decay
• $\nu$Galileon: modified gravity with massive neutrinos as a testable alternative to $\Lambda$CDM
• Shell-model calculation of neutrinoless double-$\beta$ decay of ${}^{76}$Ge
• The charged current neutrino cross section for solar neutrinos, and background to \BBz\ experiments
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• Muon capture reaction on ${}^{100}Mo$ to study nuclear responses for double beta decays and astro-neutrinos
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• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
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• The symmetry approach to quark and lepton masses and mixing
• Majorana Neutrino Masses in the RGEs for Lepton Flavour Violation
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• First search for double-beta decay of 184Os and 192Os
• Study of Nuclear Effects in the Computation of the 0νββ Decay Matrix Elements
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• Unveiling Neutrino Mysteries with $\Delta (27)$ Symmetry
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• Dirac-Majorana neutrinos distinction in four-body decays
• Recent Results from the Majorana Demonstrator
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• Nuclear Matrix Elements for Double-Beta Decay
• Status and Perspectives of Neutrino Physics
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• Muon to positron conversion
• The nature of massive neutrinos and multiple mechanisms in neutrinoless double beta decay
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• Neutrino Mass Eigenvalues for Different Scheme within Four Flavor Neutrino framework