论文标题
中微子质量平方比和中微子双β衰减在随机中微子质量矩阵中
Neutrino mass square ratio and neutrinoless double beta decay in random neutrino mass matrices
论文作者
论文摘要
我们研究了狄拉克中微子，seesaw，double seesaw模型中的中微子质量无政府状态。假设无政府状态假设，质量矩阵是随机的，并且根据高斯度量分布。我们专注于光中微子的质量平方比的分布，并检查哪些模型显示了实验值周围概率分布的峰值。我们表明峰位置取决于随机矩阵产物的数量。我们发现，随着随机矩阵产物的数量增加，带有随机狄拉克和Majoraana质量矩阵的SEESAW模型最有可能实现当前的实验数据，因此光中微子质量层次结构变得更大。我们还研究了有效的Majorana质量的中微子双β衰变的分布。我们发现，有效的主要质量小于实验上限，并且随着随机基质产物的数量增加，由于光中微子的质量变得更加层次，因此往往较小。我们认为，较轻的中微子质量变得更加层次，因为可以从随机矩阵理论中奇异值的概率分布中理解随机基质中的产物数量。
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.
