The Geometric Correlations of Leptonic Mixing Parameters

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 correlations between leptonic parameters. At 3 σ level recent global fit data neutrino oscillations, distribution scattered points angles vectors, which constructed by element matrix, is analysed. We find that concentrated several special regions. Using in these regions, and Dirac CP violating phase obtained. The implications shown through predicted flavor ratio high-energy astrophysical neutrinos (HANs) at Earth.