Long-Distance Nuclear Matrix Elements for Neutrinoless Double-Beta Decay from Lattice QCD
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909106505252864 |
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| author | Davoudi, Zohreh Detmold, William Fu, Zhenghao Grebe, Anthony V. Jay, William Murphy, David Oare, Patrick Shanahan, Phiala E. Wagman, Michael L. |
| author_facet | Davoudi, Zohreh Detmold, William Fu, Zhenghao Grebe, Anthony V. Jay, William Murphy, David Oare, Patrick Shanahan, Phiala E. Wagman, Michael L. |
| contents | Neutrinoless double-beta ($0νββ$) decay is a heretofore unobserved process which, if observed, would imply that neutrinos are Majorana particles. Interpretations of the stringent experimental constraints on $0νββ$-decay half-lives require calculations of nuclear matrix elements. This work presents the first lattice quantum-chromodynamics (LQCD) calculation of the matrix element for $0νββ$ decay in a multi-nucleon system, specifically the $nn \rightarrow pp ee$ 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 $Σ^- \rightarrow Σ^+ ee$ 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 $0νββ$ 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 $0νββ$ decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 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. High Energy Physics - Lattice Nuclear Theory Neutrinoless double-beta ($0νββ$) decay is a heretofore unobserved process which, if observed, would imply that neutrinos are Majorana particles. Interpretations of the stringent experimental constraints on $0νββ$-decay half-lives require calculations of nuclear matrix elements. This work presents the first lattice quantum-chromodynamics (LQCD) calculation of the matrix element for $0νββ$ decay in a multi-nucleon system, specifically the $nn \rightarrow pp ee$ 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 $Σ^- \rightarrow Σ^+ ee$ 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 $0νββ$ 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 $0νββ$ decay. |
| title | Long-Distance Nuclear Matrix Elements for Neutrinoless Double-Beta Decay from Lattice QCD |
| topic | High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2402.09362 |