Mass Matrix Rules and the Flat Pattern of Quarks

Fuente: arXiv
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Autor principal: Zhang, Ying
Formato: Preprint
Publicado: 2025
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author Zhang, Ying
author_facet Zhang, Ying
contents Seeking mass patterns is a key to decoding the unknown flavor puzzles in particle physics. Inspired by quark hierarchical masses, the mass matrix can universally be factorized into a family-diagonal phase matrix $K_L^q$ and a real symmetric matrix $M_N^q$ characterized by only two parameters. The factorized structure provides model-independent rules to the mass matrix. We demonstrate that the large $δ_{CP}$ naturally arises from the degeneracy of the first two quark families in the mass hierarchy limit. As an application, the flat pattern with elements close to unity in the matrix is checked by fitting quark masses and the CKM mixing. It achieves a precise description of flavor structure with minimal parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06024
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Mass Matrix Rules and the Flat Pattern of Quarks
Zhang, Ying
High Energy Physics - Phenomenology
Seeking mass patterns is a key to decoding the unknown flavor puzzles in particle physics. Inspired by quark hierarchical masses, the mass matrix can universally be factorized into a family-diagonal phase matrix $K_L^q$ and a real symmetric matrix $M_N^q$ characterized by only two parameters. The factorized structure provides model-independent rules to the mass matrix. We demonstrate that the large $δ_{CP}$ naturally arises from the degeneracy of the first two quark families in the mass hierarchy limit. As an application, the flat pattern with elements close to unity in the matrix is checked by fitting quark masses and the CKM mixing. It achieves a precise description of flavor structure with minimal parameters.
title Mass Matrix Rules and the Flat Pattern of Quarks
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.06024