Correlation of neutrinoless double-beta decay nuclear matrix elements with nucleon-nucleon phase shifts
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| author | Belley, A. Pitcher, J. Miyagi, T. Stroberg, S. R. Holt, J. D. |
| author_facet | Belley, A. Pitcher, J. Miyagi, T. Stroberg, S. R. Holt, J. D. |
| contents | We present an ab initio study of the correlation between nuclear matrix elements of neutrinoless double-beta ($0νββ$) decay and nucleon-nucleon scattering phase shifts in the $^1S_0$ channel. Starting from thirty-four statistically weighted interactions derived from chiral effective field theory, we apply the valence-space in-medium similarity renormalization group to calculate nuclear matrix elements in four key experimental isotopes. Comparing with the $^1S_0$-channel phase shifts given from each interaction, in all cases we observe a strong correlation for scattering energies above 75 MeV. Furthermore, a global sensitivity analysis, enabled by newly developed machine-learning emulators, confirms that the nuclear matrix elements of the decay depend primarily on the $C_{1S0}$ low-energy constant, which is associated with the phase shifts in that partial wave. These results provide the first clear correlation between $0νββ$ decay nuclear matrix elements and a measured observable and will therefore serve as a crucial component in ongoing and future refinements of ab initio uncertainty estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Correlation of neutrinoless double-beta decay nuclear matrix elements with nucleon-nucleon phase shifts Belley, A. Pitcher, J. Miyagi, T. Stroberg, S. R. Holt, J. D. Nuclear Theory High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment We present an ab initio study of the correlation between nuclear matrix elements of neutrinoless double-beta ($0νββ$) decay and nucleon-nucleon scattering phase shifts in the $^1S_0$ channel. Starting from thirty-four statistically weighted interactions derived from chiral effective field theory, we apply the valence-space in-medium similarity renormalization group to calculate nuclear matrix elements in four key experimental isotopes. Comparing with the $^1S_0$-channel phase shifts given from each interaction, in all cases we observe a strong correlation for scattering energies above 75 MeV. Furthermore, a global sensitivity analysis, enabled by newly developed machine-learning emulators, confirms that the nuclear matrix elements of the decay depend primarily on the $C_{1S0}$ low-energy constant, which is associated with the phase shifts in that partial wave. These results provide the first clear correlation between $0νββ$ decay nuclear matrix elements and a measured observable and will therefore serve as a crucial component in ongoing and future refinements of ab initio uncertainty estimates. |
| title | Correlation of neutrinoless double-beta decay nuclear matrix elements with nucleon-nucleon phase shifts |
| topic | Nuclear Theory High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2408.02169 |