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Systematic analysis of fermionic masses and flavor mixings: a model-independent approach
Abstract
In a model-independent context, we perform a systematic and detailed study of the fermion flavor masses and mixings. In this analysis, we present a most general parameterization form of the 3 × 3 mass matrix, as well as the Pontecorvo-Maki-Nakagawa-Sakata flavor mixing matrix, in terms of the fermionic masses and some free parameters. A likelihood test using the χ2 statistic is implemented to evaluate whether the theoretical expressions for the leptonic flavor mixing angles also reproduce the experimental data. The results of the χ2 fit show that the theoretical expressions obtained for the Pontecorvo-Maki-Nakagawa-Sakata mixing matrix correctly reproduce the actual experimental data on neutrino oscillations.
Versions
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BibTeX
@misc{barradasguevara2026systematic,
title = {{Systematic analysis of fermionic masses and flavor mixings: a model-independent approach}},
author = {E. Barradas-Guevara and O. Felix-Beltran and F. Gonzalez-Canales and V. Luna-Mendoza and A. Perez-Martinez and M. Ramos-Martinez},
howpublished = {arXiv},
year = {2026},
month = may,
doi = {10.48550/arxiv.2605.17202},
eprint = {2605.17202},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.17202},
}
RIS
TY - UNPB
TI - Systematic analysis of fermionic masses and flavor mixings: a model-independent approach
AU - E. Barradas-Guevara
AU - O. Felix-Beltran
AU - F. Gonzalez-Canales
AU - V. Luna-Mendoza
AU - A. Perez-Martinez
AU - M. Ramos-Martinez
PY - 2026
DA - 2026/05/17
PB - arXiv
DO - 10.48550/arxiv.2605.17202
UR - https://arxiv.org/abs/2605.17202
AB - In a model-independent context, we perform a systematic and detailed study of the fermion flavor masses and mixings. In this analysis, we present a most general parameterization form of the 3 × 3 mass matrix, as well as the Pontecorvo-Maki-Nakagawa-Sakata flavor mixing matrix, in terms of the fermionic masses and some free parameters. A likelihood test using the χ^2 statistic is implemented to evaluate whether the theoretical expressions for the leptonic flavor mixing angles also reproduce the experimental data. The results of the χ^2 fit show that the theoretical expressions obtained for the Pontecorvo-Maki-Nakagawa-Sakata mixing matrix correctly reproduce the actual experimental data on neutrino oscillations.
ER -