Relativistic model-free prediction for neutrinoless double beta decay at leading order
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913397545631744 |
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| author | Yang, Y. L. Zhao, P. W. |
| author_facet | Yang, Y. L. Zhao, P. W. |
| contents | Starting from a manifestly Lorentz-invariant chiral Lagrangian, we present a model-free prediction for the transition amplitude of the process $nn\rightarrow pp e^-e^-$ induced by light Majorana neutrinos, which is a key process of the neutrinoless double beta decay ($0νββ$) in heavy nuclei employed in large-scale searches. Contrary to the nonrelativistic case, we show that the transition amplitude can be renormalized at leading order without any uncertain contact operators. The predicted amplitude defines a stringent benchmark for the previous estimation with model-dependent inputs, and greatly reduces the uncertainty of $0νββ$ transition operator in the calculations of nuclear matrix elements. Generalizations of the present framework could also help to address the uncertainties in $0νββ$ decay induced by other mechanisms. In addition, the present work motivates a relativistic {\it ab initio} calculation of $0νββ$ decay in light and medium-mass nuclei. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03356 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relativistic model-free prediction for neutrinoless double beta decay at leading order Yang, Y. L. Zhao, P. W. Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Starting from a manifestly Lorentz-invariant chiral Lagrangian, we present a model-free prediction for the transition amplitude of the process $nn\rightarrow pp e^-e^-$ induced by light Majorana neutrinos, which is a key process of the neutrinoless double beta decay ($0νββ$) in heavy nuclei employed in large-scale searches. Contrary to the nonrelativistic case, we show that the transition amplitude can be renormalized at leading order without any uncertain contact operators. The predicted amplitude defines a stringent benchmark for the previous estimation with model-dependent inputs, and greatly reduces the uncertainty of $0νββ$ transition operator in the calculations of nuclear matrix elements. Generalizations of the present framework could also help to address the uncertainties in $0νββ$ decay induced by other mechanisms. In addition, the present work motivates a relativistic {\it ab initio} calculation of $0νββ$ decay in light and medium-mass nuclei. |
| title | Relativistic model-free prediction for neutrinoless double beta decay at leading order |
| topic | Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.03356 |