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

TL;DR

This paper provides a comprehensive, model-independent analysis of fermionic masses and mixings, introducing a general parameterization and testing its consistency with experimental neutrino oscillation data.

Contribution

It presents a novel, general parameterization of fermion mass matrices and flavor mixing, validated through a likelihood fit to experimental neutrino data.

Findings

The parameterization accurately reproduces neutrino oscillation data.

Likelihood tests confirm the consistency of the theoretical expressions with experiments.

The approach is model-independent, offering broad applicability.

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.