Long-distance nuclear matrix elements for neutrinoless double-beta decay from lattice QCD

Davoudi, Zohreh; Detmold, William; Fu, Zhenghao; Grebe, Anthony V.; Jay, William; Murphy, David; Oare, Patrick; Shanahan, Phiala E.; Wagman, Michael L.

doi:10.1103/PhysRevD.109.114514

Long-distance nuclear matrix elements for neutrinoless double-beta decay from lattice QCD

Journal Article · Fri Jun 21 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.114514· OSTI ID:2376285

^[1]; ^[2]; Fu, Zhenghao ^[3]; ^[4]; ^[3]; Murphy, David ^[3]; ^[3]; ^[2]; ^[5]

University of Maryland; Joint Center for Quantum Information and Computer Science
Massachusetts Institute of Technology; The NSF Institute for Artificial Intelligence and Fundamental Interactions
Massachusetts Institute of Technology
Massachusetts Institute of Technology; Fermi National Accelerator Laboratory
Fermi National Accelerator Laboratory

Neutrinoless double-beta (0⁢𝜈⁢𝛽⁢𝛽) decay is a heretofore unobserved process which, if observed, would imply that neutrinos are Majorana particles. Interpretations of the stringent experimental constraints on 0⁢𝜈⁢𝛽⁢𝛽-decay half-lives require calculations of nuclear matrix elements. This work presents the first lattice quantum chromodynamics (LQCD) calculation of the matrix element for 0⁢𝜈⁢𝛽⁢𝛽 decay in a multinucleon system, specifically the 𝑛⁢𝑛 → 𝑝⁢𝑝⁢𝑒⁢𝑒 transition, mediated by a light left-handed Majorana neutrino propagating over nuclear-scale distances. This calculation is performed with quark masses corresponding to a pion mass of 𝑚_𝜋 = 806 MeV at a single lattice spacing and volume. The statistically cleaner Σ⁻ → Σ⁺⁢𝑒⁢𝑒 transition is also computed in order to investigate various systematic uncertainties. The prospects for matching the results of LQCD calculations onto a nuclear effective field theory to determine a leading-order low-energy constant relevant for 0⁢𝜈⁢𝛽⁢𝛽 decay with a light Majorana neutrino are investigated. This work, therefore, sets the stage for future calculations at physical values of the quark masses that, combined with effective field theory and nuclear many-body studies, will provide controlled theoretical inputs to experimental searches of 0⁢𝜈⁢𝛽⁢𝛽 decay.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); IAIFI, Cambridge; MIT, Cambridge, CTP; Maryland U.; Maryland U., College Park; Massachusetts Institute of Technology, Cambridge, MA (United States)

Sponsoring Organization:: National Science Foundation (NSF); US Department of Energy; USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: NPLQCD Collaboration

Grant/Contract Number:: 89243024CSC000002; AC02-07CH11359; SC0011090; SC0020271; SC0021006

OSTI ID:: 2376285

Alternate ID(s):: OSTI ID: 2571472
OSTI ID: 2323483

Report Number(s):: FERMILAB-PUB-24-0067-T; MIT-CTP/5682; UMD-PP-024-03

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 109; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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