English

Predicting Neutrino Mixing Angles Using Group Presentations

High Energy Physics - Phenomenology 2024-03-28 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2211.07785,
  title  = {Predicting Neutrino Mixing Angles Using Group Presentations},
  author = {Carlos Alvarado and Janelly Bautista and Alexander J. Stuart},
  journal= {arXiv preprint arXiv:2211.07785},
  year   = {2024}
}

Comments

14 pages. v3: References added, text further clarified, content matches version published in IJMPA

R2 v1 2026-06-28T05:54:19.742Z