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Predicting Neutrino Mixing Angles Using Group Presentations

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arxiv 2211.07785 v3 pith:QCJGLX3X submitted 2022-11-14 hep-ph

Predicting Neutrino Mixing Angles Using Group Presentations

classification hep-ph
keywords groupkleinmethodmixingneutrinophasepossiblesymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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