Starting from a manifestly Lorentz-invariant chiral Lagrangian, we present a model-free prediction for the transition amplitude of the process induced by light Majorana neutrinos, which is a key process of the neutrinoless double beta decay () 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 transition operator in the calculations of nuclear matrix elements. Generalizations of the present framework could also help to address the uncertainties in decay induced by other mechanisms. In addition, the present work motivates a relativistic calculation of decay in light and medium-mass nuclei.

中文翻译：

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前导阶无中微子双贝塔衰变的相对论无模型预测


从明显洛伦兹不变的手性拉格朗日量开始，我们提出了对轻马约拉纳中微子引起的过程跃迁振幅的无模型预测，这是大型中微子重核中无中微子双β衰变的关键过程。规模搜索。与非相对论情况相反，我们证明了跃迁幅度可以在前导阶上重新归一化，而无需任何不确定的接触算子。预测的幅度为先前模型相关输入的估计定义了严格的基准，并大大降低了核矩阵元素计算中转移算子的不确定性。当前框架的概括还有助于解决其他机制引起的衰变的不确定性。此外，目前的工作激发了轻质和中等质量核衰变的相对论计算。