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arXiv · 2605.17202

Systematic analysis of fermionic masses and flavor mixings: a model-independent approach

E. Barradas-Guevara·O. Felix-Beltran·F. Gonzalez-Canales·V. Luna-Mendoza·A. Perez-Martinez·M. Ramos-Martinez
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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 $3 \times 3$ 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 $\chi^2$ statistic is implemented to evaluate whether the theoretical expressions for the leptonic flavor mixing angles also reproduce the experimental data. The results of the $\chi^2$ fit show that the theoretical expressions obtained for the Pontecorvo-Maki-Nakagawa-Sakata mixing matrix correctly reproduce the actual experimental data on neutrino oscillations.

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E. Barradas-Guevara, O. Felix-Beltran, F. Gonzalez-Canales, V. Luna-Mendoza, A. Perez-Martinez, M. Ramos-Martinez. 2026-05-17. Systematic analysis of fermionic masses and flavor mixings: a model-independent approach. https://arxiv.org/abs/2605.17202

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