arXiv 2206.097202022-06hep-ph

随机中微子质量矩阵中的中微子质量平方比和无中微子双β衰变

Neutrino mass square ratio and neutrinoless double beta decay in random neutrino mass matrices

Naoyuki Haba, Yasuhiro Shimizu, Toshifumi Yamada

备注：: 14 pages, 3 figures, discussion of the mathematical relationship with random matrix theory added, accepted for publication in PTEP

摘要：

研究了Dirac中微子、跷跷板、双跷跷板模型中的中微子质量无政府状态。假设无政府状态的假设，质量矩阵是随机的，并按照高斯测量分布。我们专注于轻中微子的质量平方比的分布，并检查这些模型中的哪一个在实验值附近的概率分布中显示出峰值。我们表明，峰的位置取决于随机矩阵产品的数量。我们发现，随着随机矩阵乘积的增加，轻中微子的质量等级变大，而具有随机Dirac和Majorana质量矩阵的跷跷板模型最有可能实现现有的实验数据.我们还研究了无中微子双β衰变的有效Majorana质量分布。我们发现，有效的马约拉纳质量小于实验上限，并倾向于更小的随机矩阵产品的数量增加，因为轻中微子的质量变得更加分层。我们认为，轻中微子质量的趋势，成为更多的随机矩阵中的产品的数量增加的层次，可以理解从随机矩阵理论中的奇异值的概率分布。

英文摘要：

We study the neutrino mass anarchy in the Dirac neutrino, seesaw, double seesaw models. Assuming the anarchy hypothesis, the mass matrices are random and distributed in accordance with the Gaussian measure. We focus on the distributions of mass square ratio of the light neutrinos and examine which of these models shows a peak in the probability distribution around the experimental value. We show that the peak position depends on the number of random matrix products. We find that the light neutrino mass hierarchy becomes larger as the number of random matrix products is increased and the seesaw model with the random Dirac and Majorana mass matrices is the most probable to realize the current experimental data. We also investigate the distributions of the effective Majorana mass for neutrinoless double beta decay. We find that the effective Majorana mass is smaller than the experimental upper bound and tends to be smaller as the number of random matrix products increases because the light neutrino masses become more hierarchical. We argue that the tendency for lighter neutrino masses to become more hierarchical as the number of products in the random matrix increases can be understood from the probability distribution of singular values in random matrix theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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