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A Factorized Mass Structure of Fermions and Its Fit

2025/07/02 by Qingfeng Cao, Ying Zhang, Cao, Qingfeng +1
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2507.01480

openalex publication_date 2025/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 O(h2) 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.

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