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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.17202 |
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| _version_ | 1866910228395589632 |
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| author | Barradas-Guevara, E. Felix-Beltran, O. Gonzalez-Canales, F. Luna-Mendoza, V. Perez-Martinez, A. Ramos-Martinez, M. |
| author_facet | Barradas-Guevara, E. Felix-Beltran, O. Gonzalez-Canales, F. Luna-Mendoza, V. Perez-Martinez, A. Ramos-Martinez, M. |
| contents | 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 $χ^2$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17202 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Systematic analysis of fermionic masses and flavor mixings: a model-independent approach Barradas-Guevara, E. Felix-Beltran, O. Gonzalez-Canales, F. Luna-Mendoza, V. Perez-Martinez, A. Ramos-Martinez, M. High Energy Physics - Phenomenology 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 $χ^2$ 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. |
| title | Systematic analysis of fermionic masses and flavor mixings: a model-independent approach |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.17202 |