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

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

Journal Article · 21 June 2024 · Physical Review. D.

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

;

; Fu, Zhenghao;

;

; Murphy, David;

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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 $n n \to p p e e$ 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 $Σ^{-} \to Σ^{+} e e$ 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. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

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

OSTI ID:: 2376285

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

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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