A Factorized Mass Structure of Fermions and Its Fit

TL;DR

This paper proposes a factorized mass structure model for fermions based on observed hierarchies and family symmetry, successfully fitting quark and lepton mixing data and offering new insights into Yukawa interactions.

Contribution

It introduces a novel factorized mass structure framework that unifies flavor phenomena and fits experimental mixing data within a symmetry-based approach.

Findings

Successful fit to quark CKM and lepton PMNS data

Unification of flavor phenomena through the model

Insights into the nature of Yukawa interactions

Abstract

The structure of the mass matrix, a challenging problem in the Standard Model, is closely related to flavor phenomenology and the understanding of the Yukawa interaction. We derive a factorized mass structure based on observed fermion mass hierarchies, investigating the role of $SO(2)^f$ family symmetry in explaining the approximate degeneracy of light quark generations and its connection to flavor mixing. Our calculation includes the slightest modification from the lightest fermions by $\mathcal{O}(h^2)$ hierarchy corrections. Using this model-independent framework, we systematically analyze all mass patterns and perform comprehensive fits to both quark CKM and lepton PMNS mixing data with extended normal-ordered Dirac neutrinos. The results demonstrate this framework's capacity to unify flavor phenomena while simultaneously providing new insights into the fundamental nature of Yukawa interactions.