论文标题

使用小组演示预测中微子混合角度

Predicting Neutrino Mixing Angles Using Group Presentations

论文作者

Alvarado, Carlos, Bautista, Janelly, Stuart, Alexander J.

论文摘要

通过假设存在三个巨大的非分类主要中微子,可以描述中微子与一个较大自发破裂的风味对称群的残留,不间断的离散klein子组混合。通过即将进行的Leptonic CP违规的测量,我们通过将小组演示规则应用于该框架来重新审视此框架。我们开发了一种能够在文献中重现所有先前结果的方法,并可能暗示Klein对称元素中CP违规的可能组理论来源。这是由于它们中的一个阶段出现。但是,对于此分析中考虑的情况,事实证明可以去除此阶段。尽管如此,这种新方法仍需要进一步研究。

By assuming there exist three massive non-degenerate Majorana neutrinos, it is possible to describe neutrino mixing with a residual, unbroken discrete Klein subgroup of a larger spontaneously broken flavor symmetry group. Motivated by forthcoming measurements of leptonic CP violation, we revisit this framework by applying group presentation rules to it. We develop a method that is able to reproduce all previous results in the literature and may also hint at a possible group theoretical origin of CP violation in the Klein symmetry elements. This is due to the explicit appearance of a phase in them. However, for the cases considered in this analysis, it turns out that this phase can be removed. Still, this new method warrants further study.

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