Nuclear shell model study of neutrinoless double beta decay under Left-Right symmetric model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910511174516736 |
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| author | Fang, Dong-Liang Brown, B. Alex Šimkovic, Fedor |
| author_facet | Fang, Dong-Liang Brown, B. Alex Šimkovic, Fedor |
| contents | We use the large scale nuclear shell model to calculate the nuclear matrix elements for the neutrino mediated neutrinoless double beta decay within the Left-Right symmetric model for four nuclei: $^{76}$Ge, $^{82}$Se, $^{130}$Te and $^{136}$Xe. We perform a systematic analysis on the general magnitude of different terms for related mechanisms. For the $η$ mechanism, we find that the weak magnetism $R$ term dominates the decay rate while the $p$-wave effect is suppressed. While for the $λ$ mechanism, the $ω$ and the $q$ terms are with equal importance. For the latter $q$ term, important contributions from weak-magnetism MM part are observed. Finally, we give the constraints on the new physics parameters $m_{ββ}$, $λ$ and $η$ from current experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02795 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nuclear shell model study of neutrinoless double beta decay under Left-Right symmetric model Fang, Dong-Liang Brown, B. Alex Šimkovic, Fedor Nuclear Theory High Energy Physics - Phenomenology We use the large scale nuclear shell model to calculate the nuclear matrix elements for the neutrino mediated neutrinoless double beta decay within the Left-Right symmetric model for four nuclei: $^{76}$Ge, $^{82}$Se, $^{130}$Te and $^{136}$Xe. We perform a systematic analysis on the general magnitude of different terms for related mechanisms. For the $η$ mechanism, we find that the weak magnetism $R$ term dominates the decay rate while the $p$-wave effect is suppressed. While for the $λ$ mechanism, the $ω$ and the $q$ terms are with equal importance. For the latter $q$ term, important contributions from weak-magnetism MM part are observed. Finally, we give the constraints on the new physics parameters $m_{ββ}$, $λ$ and $η$ from current experiments. |
| title | Nuclear shell model study of neutrinoless double beta decay under Left-Right symmetric model |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.02795 |