# Relations among Elements of the Quark Mass Matrices

Source: [Relations among Elements of the Quark Mass Matrices](<https://www.sota2.com/research/paper/68fa24d02c2a3760193a93ac>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:33:00.363Z

Authors: K. Harayama

Published: 1999-05-21T08:18:03.000Z

## Abstract

Current experimental data suggest some relations between the Kobayashi-Maskawa Matrix and the quark mass ratios, namely $\|V\_{us}\| \\sim \\sqrt{m\_d / m\_s}$, $\|V\_{ub} / V\_{cb}\| \\sim \\sqrt{m\_u / m\_c}$ and $\|V\_{cb}\| \\sim m\_s / m\_b$. We consider these relations seriously in this paper. As a result, they offer us some attractive relations among the elements of the mass matrices and bring us a problem. They might give us informations about the origin of Yukawa couplings.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9905432>)

[PDF](<https://arxiv.org/pdf/hep-ph/9905432.pdf>)