A Factorized Mass Structure of Fermions and Its Fit

Fuente: arXiv
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Auteurs principaux: Cao, Qingfeng, Zhang, Ying
Format: Preprint
Publié: 2025
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author Cao, Qingfeng
Zhang, Ying
author_facet Cao, Qingfeng
Zhang, Ying
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_01480
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Factorized Mass Structure of Fermions and Its Fit
Cao, Qingfeng
Zhang, Ying
High Energy Physics - Phenomenology
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.
title A Factorized Mass Structure of Fermions and Its Fit
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.01480