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 the correlations between the leptonic mixing parameters. At the 3σ level of the recent global fit data of neutrino oscillations, the dis...

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Bibliographic Details
Published in:Advances in high energy physics 2023-03, Vol.2023, p.1-17
Main Authors: Xu, Ding-Hui, Rong, Shu-Jun
Format: Article
Language:English
Subjects:
Angles (geometry)
Group theory
Leptons
Mathematical analysis
Matrix algebra
Neutrinos
Parameters
Symmetry
Vectors (mathematics)
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Summary: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 3σ level of the recent global fit data of neutrino oscillations, the distribution of the scattered points of the angles between the vectors, which are constructed by the element of the leptonic mixing matrix, is analysed. We find that the scattered 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.
ISSN:1687-7357
1687-7365
DOI:10.1155/2023/6057292