PREPRINT
E252FF70-39E2-486A-8675-348E70CCF379

# The geometric correlations of leptonic mixing parameters

Ding-Hui Xu, Shu-Jun Rong
arXiv:2207.05371

Submitted on 12 July 2022

## Abstract

Leptonic mixing patterns are usually extracted on the basis of groups or algebraic structures. In this paper, we introduce an alternative geometric method to study the correlations between the leptonic mixing parameters. At the 3{\sigma} level of the recent global fit data of neutrino oscillations, the distribution of the scatter points of the angles between the vectors of the magnitude of the leptonic mixing matrix is analysed. We find that the scatter points are concentrated on several special regions. Using the data in these regions, correlations of the leptonic mixing angles and the Dirac CP violating phase are obtained. The implications of the correlations are shown through the predicted flavor ratio of high-energy astrophysical neutrinos (HANs) at Earth.

## Preprint

Comment: 15 pages, 7 figures

Subjects: High Energy Physics - Phenomenology; Astrophysics - High Energy Astrophysical Phenomena