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Renormalized approach to neutrinoless double-beta decay

机译：中微子双β腐烂的重整化方法

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摘要

The process at the heart of neutrinoless double-beta decay, nn -> pp e(-) e(-) induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-number-violating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet S-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading-order corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-beta decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leading-order short-range operator but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-beta decay for He-6 and Be-12. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.
机译：浅色Majorana Neutrino诱导的中微子抑制双β衰变，NN - > PP E（ - ）E（ - ）的过程进行了缺陷和手性有效场理论。我们在各种正则化方案中展示了需要在领先订单中引入短程Lepton-Number-Rodals-Operator ath，确认早期的结果。我们证明了这种短距离操作员仅在旋转态S波转换中需要，而涉及较高部分波的领先转换仅取决于远程电流。延长计算以包括在扰动理论中的下一阶校正，在此处出现此顺序的额外未定位数。通过电磁诱导的中微子双β衰变和核电独立性破裂，基于手性对称建立了一个连接。后者的数据确认需要领先的短程运算符，但不允许完全确定相应的Lepton违反耦合。使用该耦合的粗估估计，我们对HE-6和BE-12进行中微子双β腐烂的基质元素的AB初始元素。我们推测领先的短程运营商在这些结果的基础上的现象学影响。

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