Predicting neutrino mixing angles using group presentations

By assuming there exist three massive nondegenerate 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.

Automated summary

By assuming three massive nondegenerate Majorana neutrinos, neutrino mixing can be described with an unbroken discrete Klein subgroup of a larger spontaneously broken flavor symmetry group. Motivated by forthcoming measurements of leptonic CP violation, this framework is revisited using group presentation rules. A method is developed to reproduce previous results and may hint at a group theoretical origin of CP violation in the Klein symmetry elements, which is due to the explicit appearance of a phase. However, for the analyzed cases, this phase can be removed. Nonetheless, further study is warranted for this new method.