Double Froggatt-Nielsen mechanism
Double Froggatt-Nielsen mechanism
复制标题
双弗罗加特-尼尔森机制
DOI：
10.1093/ptep/ptw112
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发表时间：
2016
影响因子：
3.5
通讯作者：
Yoshiyuki Tatsuta
中科院分区：
文献类型：
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作者：
Kenji Nishiwaki;Yusuke Shimizu;Yoshiyuki Tatsuta
我们提出了标准 Froggatt-Nielsen (FN) 机制的双参数扩展。众所周知，标准模型中上下型夸克扇区和带电轻子扇区的质量矩阵可以通过一个通常取为卡比博角()的正弦值的参数来很好地参数化。然而，在中微子区，仍然有空间实现两个中微子质量平方差、两个大混合角和非零。然后我们考虑一个带有附加参数的扩展。取相关的 FN 电荷为 的 次方，附加 FN 电荷为 的 次方（我们假设小于一），我们可以重现两个中微子质量平方差和三个混合角的比率。在正常的中微子质量等级中，我们展示了获取相关 FN 电荷及其大小的几种模式。我们发现如果测量得更精确，我们可以区分每种模式。这在不久的将来是可以测试的，例如在中微子振荡实验中。此外，我们还预测了每种模式的 Dirac CP 破坏阶段。
We present a doubly parametric extension of the standard Froggatt–Nielsen (FN) mechanism. As is well known, mass matrices of the up- and down-type quark sectors and the charged lepton sector in the standard model can be parametrized well by a parameterwhich is usually taken to be the sine of the Cabibbo angle (). However, in the neutrino sector, there is still room to realize the two neutrino mass squared differencesand, two large mixing anglesand, and non-zero. Then we consider an extension with an additional parameterin addition to. Taking the relevant FN charges for a power ofand additional FN charges for a power of, which we assume to be less than one, we can reproduce the ratio of the two neutrino mass squared differences and three mixing angles. In the normal neutrino mass hierarchy, we show several patterns for taking relevant FN charges and the magnitude of. We find that ifis measured more precisely, we can distinguish each pattern. This is testable in the near future, for example in neutrino oscillation experiments. In addition, we predict the Dirac CP-violating phase for each pattern.