Systematic analysis of fermionic masses and flavor mixings: a model-independent approach
DOI:
https://doi.org/10.31349/RevMexFis.72.050801Keywords:
Fermionic mass matrix, fermionic mixing matrixAbstract
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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Copyright (c) 2026 O. Félix-Beltrán, E. Barradas-Guevara, F. González-Canales, V. Luna-Mendoza, A. Pérez-Martínez, M. Ramos-Martínez
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