Ab Initio Uncertainty Quantification of Neutrinoless Double-Beta Decay in Ge 76

Belley, A.; Yao, J. M.; Bally, B.; Pitcher, J.; Engel, J.; Hergert, H.; Holt, J. D.; Miyagi, T.; Rodríguez, T. R.; Romero, A. M.; Stroberg, S. R.; Zhang, X.

doi:10.1103/PhysRevLett.132.182502

Title: Ab Initio Uncertainty Quantification of Neutrinoless Double-Beta Decay in ${}^{76}{Ge}$

Journal Article · 29 April 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.182502 · OSTI ID:2345232

;

; Zhang, X.

Not Available

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0023516; SC0023175; FG02-97ER41014; FG02-97ER41019; AC02-06CH11357; SC0015376; AC02-05CH11231

OSTI ID:: 2345232

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (81)

Neutrinoless double- β decay: Combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism Weiss, Ronen; Soriano, Pablo; Lovato, Alessandro Physical Review C, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevC.106.065501	journal	December 2022
Toward the discovery of matter creation with neutrinoless ββ decay Agostini, Matteo; Benato, Giovanni; Detwiler, Jason A. Reviews of Modern Physics, Vol. 95, Issue 2 https://doi.org/10.1103/RevModPhys.95.025002	journal	May 2023
Improved nuclear matter calculations from chiral low-momentum interactions Hebeler, K.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.031301	journal	March 2011
Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of Ca 48 Yao, J. M.; Bally, B.; Engel, J. Physical Review Letters, Vol. 124, Issue 23 https://doi.org/10.1103/PhysRevLett.124.232501	journal	June 2020
Accurate bulk properties of nuclei from A = 2 to ∞ from potentials with Δ isobars Jiang, W. G.; Ekström, A.; Forssén, C. Physical Review C, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevC.102.054301	journal	November 2020
Benchmark neutrinoless double- β decay matrix elements in a light nucleus Basili, R. A. M.; Yao, J. M.; Engel, J. Physical Review C, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevC.102.014302	journal	July 2020
Multi-reference many-body perturbation theory for nuclei: III. Ab initio calculations at second order in PGCM-PT Frosini, M.; Duguet, T.; Ebran, J. -P. The European Physical Journal A, Vol. 58, Issue 4 https://doi.org/10.1140/epja/s10050-022-00694-x	journal	April 2022
Δ isobars and nuclear saturation Ekström, A.; Hagen, G.; Morris, T. D. Physical Review C, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevC.97.024332	journal	February 2018
Nuclear matrix elements for 0 ν β β decays with light or heavy Majorana-neutrino exchange Hyvärinen, Juhani; Suhonen, Jouni Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024613	journal	February 2015
Neutrinoless double- β decay of 48 Ca in the shell model: Closure versus nonclosure approximation Sen'kov, R. A.; Horoi, M. Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.064312	journal	December 2013
Final Results of GERDA on the Search for Neutrinoless Double- β Decay Agostini, M.; Araujo, G. R.; Bakalyarov, A. M. Physical Review Letters, Vol. 125, Issue 25 https://doi.org/10.1103/PhysRevLett.125.252502	journal	December 2020
Nuclear Constitution and the Interpretation of Fission Phenomena Hill, David Lawrence; Wheeler, John Archibald Physical Review, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRev.89.1102	journal	March 1953
Triaxiality in selenium-76 Henderson, J.; Wu, C. Y.; Ash, J. Physical Review C, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevC.99.054313	journal	May 2019
Shell model predictions for Sn 124 double- β decay Horoi, Mihai; Neacsu, Andrei Physical Review C, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevC.93.024308	journal	February 2016
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians Stroberg, S. R.; Hergert, H.; Holt, J. D. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevC.93.051301	journal	May 2016
Neutrinoless double- β decay in SU(2)×U(1) theories Schechter, J.; Valle, J. W. F. Physical Review D, Vol. 25, Issue 11 https://doi.org/10.1103/PhysRevD.25.2951	journal	June 1982
On Transition Probabilities in Double Beta-Disintegration Furry, W. H. Physical Review, Vol. 56, Issue 12 https://doi.org/10.1103/PhysRev.56.1184	journal	December 1939
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010
Determining the leading-order contact term in neutrinoless double β decay Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)289	journal	May 2021
Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism Yao, J. M.; Meng, J.; Niu, Y. F. Progress in Particle and Nuclear Physics, Vol. 126 https://doi.org/10.1016/j.ppnp.2022.103965	journal	September 2022
Additional nucleon current contributions to neutrinoless double β decay Šimkovic, F.; Pantis, G.; Vergados, J. D. Physical Review C, Vol. 60, Issue 5 https://doi.org/10.1103/PhysRevC.60.055502	journal	October 1999
Energy Density Functional Study of Nuclear Matrix Elements for Neutrinoless β β Decay Rodríguez, Tomás R.; Martínez-Pinedo, Gabriel Physical Review Letters, Vol. 105, Issue 25 https://doi.org/10.1103/PhysRevLett.105.252503	journal	December 2010
Nuclear matrix element of neutrinoless double- β decay: Relativity and short-range correlations Song, L. S.; Yao, J. M.; Ring, P. Physical Review C, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevC.95.024305	journal	February 2017
Nucleus-Dependent Valence-Space Approach to Nuclear Structure Stroberg, S. R.; Calci, A.; Hergert, H. Physical Review Letters, Vol. 118, Issue 3 https://doi.org/10.1103/PhysRevLett.118.032502	journal	January 2017
Neutrinoless double- β decay from an effective field theory for heavy nuclei Brase, C.; Menéndez, J.; Coello Pérez, E. A. Physical Review C, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevC.106.034309	journal	September 2022
Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele Physical Review C, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevC.97.065501	journal	June 2018
Toward Complete Leading-Order Predictions for Neutrinoless Double β Decay Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy Physical Review Letters, Vol. 126, Issue 17 https://doi.org/10.1103/PhysRevLett.126.172002	journal	April 2021
Ab Initio Limits of Atomic Nuclei Stroberg, S. R.; Holt, J. D.; Schwenk, A. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.022501	journal	January 2021
Bayesian Statistics without Tears: A Sampling–Resampling Perspective Smith, A. F. M.; Gelfand, A. E. The American Statistician, Vol. 46, Issue 2 https://doi.org/10.1080/00031305.1992.10475856	journal	May 1992
Disassembling the nuclear matrix elements of the neutrinoless ββ decay Menéndez, J.; Poves, A.; Caurier, E. Nuclear Physics A, Vol. 818, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2008.12.005	journal	March 2009
Application of an efficient generator-coordinate subspace-selection algorithm to neutrinoless double- β decay Romero, A. M.; Yao, J. M.; Bally, B. Physical Review C, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevC.104.054317	journal	November 2021
Reexamining the light neutrino exchange mechanism of the 0 ν β β decay with left- and right-handed leptonic and hadronic currents Štefánik, Dušan; Dvornický, Rastislav; Šimkovic, Fedor Physical Review C, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevC.92.055502	journal	November 2015
Collective Motions in Nuclei by the Method of Generator Coordinates Griffin, James J.; Wheeler, John A. Physical Review, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRev.108.311	journal	October 1957
Quantifying correlated truncation errors in effective field theory Melendez, J. A.; Furnstahl, R. J.; Phillips, D. R. Physical Review C, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevC.100.044001	journal	October 2019
New Leading Contribution to Neutrinoless Double- β Decay Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/PhysRevLett.120.202001	journal	May 2018
Symmetry conserving configuration mixing method with cranked states Borrajo, Marta; Rodríguez, Tomás R.; Luis Egido, J. Physics Letters B, Vol. 746 https://doi.org/10.1016/j.physletb.2015.05.030	journal	June 2015
Gaussian Processes for Machine Learning Rasmussen, Carl Edward; Williams, Christopher K. I. The MIT Press https://doi.org/10.7551/mitpress/3206.001.0001	book	January 2005
Systematics of E 2 strength in the s d shell with the valence-space in-medium similarity renormalization group Stroberg, S. R.; Henderson, J.; Hackman, G. Physical Review C, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevC.105.034333	journal	March 2022
Saturation with chiral interactions and consequences for finite nuclei Simonis, J.; Stroberg, S. R.; Hebeler, K. Physical Review C, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevC.96.014303	journal	July 2017
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Table of experimental nuclear ground state charge radii: An update Angeli, I.; Marinova, K. P. Atomic Data and Nuclear Data Tables, Vol. 99, Issue 1 https://doi.org/10.1016/j.adt.2011.12.006	journal	January 2013
Proton-neutron pairing amplitude as a generator coordinate for double- β decay Hinohara, Nobuo; Engel, Jonathan Physical Review C, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevC.90.031301	journal	September 2014
0 ν β β -decay nuclear matrix element for light and heavy neutrino mass mechanisms from deformed quasiparticle random-phase approximation calculations for Ge 76 , Se 82 , Te 130 , Xe 136 , and Nd 150 with isospin restoration Fang, Dong-Liang; Faessler, Amand; Šimkovic, Fedor Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevC.97.045503	journal	April 2018
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
Ab initio predictions link the neutron skin of 208Pb to nuclear forces Hu, Baishan; Jiang, Weiguang; Miyagi, Takayuki Nature Physics, Vol. 18, Issue 10 https://doi.org/10.1038/s41567-022-01715-8	journal	August 2022
In-medium similarity renormalization group for closed and open-shell nuclei Hergert, H. Physica Scripta, Vol. 92, Issue 2 https://doi.org/10.1088/1402-4896/92/2/023002	journal	December 2016
Renormalized approach to neutrinoless double- β decay Cirigliano, V.; Dekens, W.; de Vries, J. Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevC.100.055504	journal	November 2019
Ab Initio Calculation of the Contact Operator Contribution in the Standard Mechanism for Neutrinoless Double Beta Decay Wirth, R.; Yao, J. M.; Hergert, H. Physical Review Letters, Vol. 127, Issue 24 https://doi.org/10.1103/PhysRevLett.127.242502	journal	December 2021
Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states Bally, Benjamin; Bender, Michael Physical Review C, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevC.103.024315	journal	February 2021
Optimization of the generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double- β decay: Ridge regression for nuclei with axial deformation Zhang, X.; Lin, W.; Yao, J. M. Physical Review C, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevC.107.024304	journal	February 2023
High-precision, charge-dependent Bonn nucleon-nucleon potential Machleidt, R. Physical Review C, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevC.63.024001	journal	January 2001
Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48 Novario, S.; Gysbers, P.; Engel, J. Physical Review Letters, Vol. 126, Issue 18 https://doi.org/10.1103/PhysRevLett.126.182502	journal	May 2021
Final Result of the Majorana Demonstrator’s Search for Neutrinoless Double- β Decay in Ge76 Arnquist, I. J.; Avignone, F. T.; Barabash, A. S. Physical Review Letters, Vol. 130, Issue 6 https://doi.org/10.1103/PhysRevLett.130.062501	journal	February 2023
Calculation of the neutrinoless double- β decay matrix element within the realistic shell model Coraggio, L.; Gargano, A.; Itaco, N. Physical Review C, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevC.101.044315	journal	April 2020
Large-scale calculations of the double- β decay of 76 Ge , 130 Te , 136 Xe , and 150 Nd in the deformed self-consistent Skyrme quasiparticle random-phase approximation Mustonen, M. T.; Engel, J. Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064302	journal	June 2013
Analysis of light neutrino exchange and short-range mechanisms in 0 ν β β decay Deppisch, Frank F.; Graf, Lukas; Iachello, Francesco Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.095016	journal	November 2020
Ab initio studies of the double–Gamow-Teller transition and its correlation with neutrinoless double- β decay Yao, J. M.; Ginnett, I.; Belley, A. Physical Review C, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevC.106.014315	journal	July 2022
Neutrinoless double- β decay matrix elements in light nuclei Pastore, S.; Carlson, J.; Cirigliano, V. Physical Review C, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevC.97.014606	journal	January 2018
Barygenesis without grand unification Fukugita, M.; Yanagida, T. Physics Letters B, Vol. 174, Issue 1 https://doi.org/10.1016/0370-2693(86)91126-3	journal	June 1986
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group Bogner, S. K.; Hergert, H.; Holt, J. D. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142501	journal	October 2014
Novel chiral Hamiltonian and observables in light and medium-mass nuclei Somà, V.; Navrátil, P.; Raimondi, F. Physical Review C, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevC.101.014318	journal	January 2020
Ab initio benchmarks of neutrinoless double- β decay in light nuclei with a chiral Hamiltonian Yao, J. M.; Belley, A.; Wirth, R. Physical Review C, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevC.103.014315	journal	January 2021
Generator-coordinate reference states for spectra and 0 ν β β decay in the in-medium similarity renormalization group Yao, J. M.; Engel, J.; Wang, L. J. Physical Review C, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevC.98.054311	journal	November 2018
Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven Cirigliano, V.; Dekens, W.; de Vries, J. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)082	journal	December 2017
Nuclear Structure from the In-Medium Similarity Renormalization Group Hergert, H.; Yao, J. M.; Morris, T. D. Journal of Physics: Conference Series, Vol. 1041 https://doi.org/10.1088/1742-6596/1041/1/012007	journal	June 2018
Role of triaxiality in ⁷⁶ Ge and ⁷⁶ Se nuclei studied with Gogny energy density functionals Rodríguez, Tomás R. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 3 https://doi.org/10.1088/1361-6471/aa57d3	journal	February 2017
0 ν β β and 2 ν β β nuclear matrix elements in the interacting boson model with isospin restoration Barea, J.; Kotila, J.; Iachello, F. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034304	journal	March 2015
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review Engel, Jonathan; Menéndez, Javier Reports on Progress in Physics, Vol. 80, Issue 4 https://doi.org/10.1088/1361-6633/aa5bc5	journal	March 2017
Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22 Mg Henderson, J.; Hackman, G.; Ruotsalainen, P. Physics Letters B, Vol. 782 https://doi.org/10.1016/j.physletb.2018.05.064	journal	July 2018
High-quality two-nucleon potentials up to fifth order of the chiral expansion Entem, D. R.; Machleidt, R.; Nosyk, Y. Physical Review C, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevC.96.024004	journal	August 2017
Uncertainties in nuclear matrix elements for neutrinoless double-beta decay Engel, Jonathan Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034017	journal	February 2015
Nonempirical Interactions for the Nuclear Shell Model: An Update Stroberg, S. Ragnar; Hergert, Heiko; Bogner, Scott K. Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1 https://doi.org/10.1146/annurev-nucl-101917-021120	journal	October 2019
Neutrinoless ββ -decay nuclear matrix elements from two-neutrino ββ -decay data Jokiniemi, Lotta; Romeo, Beatriz; Soriano, Pablo Physical Review C, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevC.107.044305	journal	April 2023
Ab Initio Neutrinoless Double-Beta Decay Matrix Elements for Ca 48 , Ge 76 , and Se 82 Belley, A.; Payne, C. G.; Stroberg, S. R. Physical Review Letters, Vol. 126, Issue 4 https://doi.org/10.1103/PhysRevLett.126.042502	journal	January 2021
Triaxiality and the nature of low-energy excitations in Ge76 Ayangeakaa, A. D.; Janssens, R. V. F.; Zhu, S. Physical Review C, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevC.107.044314	journal	April 2023
Quantifying uncertainties in neutron- α scattering with chiral nucleon-nucleon and three-nucleon forces Kravvaris, Konstantinos; Quinlan, Kevin R.; Quaglioni, Sofia Physical Review C, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevC.102.024616	journal	August 2020
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.064002	journal	December 2013
Nuclear matrix elements of neutrinoless double- β decay in the triaxial projected shell model Wang, Y. K.; Zhao, P. W.; Meng, J. Physical Review C, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevC.104.014320	journal	July 2021
In-medium similarity renormalization group for open-shell nuclei Tsukiyama, K.; Bogner, S. K.; Schwenk, A. Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.061304	journal	June 2012
The large enriched germanium experiment for neutrinoless double beta decay (LEGEND) Abgrall, N.; Abramov, A.; Abrosimov, N. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF GLOBAL NETWORK FOR INNOVATIVE TECHNOLOGY AND AWAM INTERNATIONAL CONFERENCE IN CIVIL ENGINEERING (IGNITE-AICCE’17): Sustainable Technology And Practice For Infrastructure and Community Resilience, AIP Conference Proceedings https://doi.org/10.1063/1.5007652	conference	January 2017
Phase-space factors for double- β decay Kotila, J.; Iachello, F. Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.034316	journal	March 2012