论文标题
对两种抗双β衰减中洛伦兹违规的调查
Investigation of the Lorentz invariance violation in two-neutrino double-beta decay
论文作者
论文摘要
我们对所有实验有趣的核中可能发生的洛伦兹不变性违规（LIV）效应进行了全面研究。我们推断出LIV偏差的公式，并提供有或没有LIV贡献的电子之间的单个和总结的能量电子光谱以及侧面相关性，用于约束LIV系数$ \ MATHRING {A} _} _ {\ text {\ of}}}}}}}}^{（3）} $。首先，我们证实了由于所有核的LIV，电子光谱转移到了较高的电子能量。接下来，我们分析可在LIV研究中使用的其他LIV签名。因此，从通过包含LIV贡献的电子和角度相关光谱的比较，及其标准形式可以获得有关在当前实验统计中LIV效应的强度与观察力的信息。然后，我们提出了约束$ \ MATHRING {a} _ {\ text {of}}}^{（3）} $的替代方法，对角相关系数的测量，并估计不同的双β衰减实验应达到当前Beta decAy decay decay decay decay decay decay decay decay decay decay decay decay decay decay decay decay decay depay depay debera dbeta衰减实验的统计数据。我们希望我们的工作能够改善理论支持，并进一步刺激双β衰变中对LIV的搜索。
We make a comprehensive investigation of the Lorentz invariance violation (LIV) effects that may occur in two-neutrino double-beta ($2νββ$) decay for all the experimentally interesting nuclei. We deduce the formulas for the LIV deviations and provide single and summed energy electron spectra and angular correlation between electrons with and without LIV contributions, to be used for constraining the LIV coefficient $\mathring{a}_{\text{of}}^{(3)}$. First, we confirm the shifting of the electron spectra to higher electron energies due to LIV for all nuclei. Next, we analyze other LIV signatures that can be used in LIV investigations. Thus, from the comparison of the electron and angular correlation spectra calculated with the inclusion of the LIV contributions, with their standard forms, information can be obtained about the strength versus observability of the LIV effects in the current experimental statistics. Then, we present the alternative method of constraining $\mathring{a}_{\text{of}}^{(3)}$ from the measurement of the angular correlation coefficient and estimate the statistics that different double-beta decay experiments should reach to constrain the LIV coefficient at the level of the current beta decay experiments. We hope that our work will improve the theoretical support and further stimulate the search for LIV in double-beta decay.
