arXiv 2308.033562023-08nucl-thhep-lathep-ph

领头阶无模型相对论性无中微子双β衰变预测

Relativistic model-free prediction for neutrinoless double beta decay at leading order

Y. L. Yang, P. W. Zhao

备注：: 8 pages, 4 figures
发表信息：: Phys. Lett. B 855 (2024) 138782
DOI：: 10.1016/j.physletb.2024.138782

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AI总结：

本研究从显式洛伦兹不变手征拉格朗日量出发，给出轻马约拉纳中微子诱导的无中微子双β衰变关键过程领头阶无模型相对论跃迁振幅，无需不确定接触算符，为相关估算提供严格基准并降低核矩阵元计算不确定性，推动相对论从头算研究。

摘要：

我们从显式洛伦兹不变的手征拉格朗日量出发，对由轻马约拉纳中微子诱导的$nn\ ightarrow pp e^-e^-$过程的跃迁振幅给出无模型预测，该过程是大规模搜寻实验所用重核中无中微子双β衰变（$0νββ$）的关键过程。与非相对论情形不同，我们证明该跃迁振幅可在领头阶重整化，无需任何不确定的接触算符。预测的振幅为以往依赖模型输入的估算提供了严格基准，并大幅降低了核矩阵元计算中$0νββ$跃迁算符的不确定性。本框架的推广还有助于解决其他机制诱导的$0νββ$衰变的不确定性。此外，本工作推动了轻核与中等质量核中$0νββ$衰变的相对论性从头算研究。

英文摘要：

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.

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