Eigenvector-eigenvalue identities and an application to flavor physics

Shao-Hsuan Chiu; T.K. Kuo

doi:10.48550/arXiv.2205.11856

Eigenvector-eigenvalue identities and an application to flavor physics

Shao-Hsuan Chiu, T.K. Kuo

Center for General Education

Research output: Contribution to journal › Journal Article › peer-review

Abstract

<div data-language="eng" data-ev-field="abstract">The eigenvector-eigenvalue identities are expanded to include general mixing parameters. Some simple relations are obtained and they reveal an intricate texture of connections between the eigenvalues and the mixing parameters. Permutation symmetry (S<inf>3</inf> × S<inf>3</inf>) plays an indispensable role in our analysis. It is the guiding principle for the understanding of our results – all of them are tensor equations under permutation.<br/></div> © 2022, CC BY.

Original language	American English
Pages (from-to)	1-11
Journal	arXiv
DOIs	https://doi.org/10.48550/arXiv.2205.11856
State	Published - 2022

Keywords

Mixing
Textures
Eigen-value
Flavor physics
Guiding principles
Mixing parameters
Permutation symmetry
Simple++

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10.48550/arXiv.2205.11856

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@article{af60cac1c21a4b74ba2c97c4e3b1d39a,

title = "Eigenvector-eigenvalue identities and an application to flavor physics",

abstract = "The eigenvector-eigenvalue identities are expanded to include general mixing parameters. Some simple relations are obtained and they reveal an intricate texture of connections between the eigenvalues and the mixing parameters. Permutation symmetry (S3 × S3) plays an indispensable role in our analysis. It is the guiding principle for the understanding of our results – all of them are tensor equations under permutation. © 2022, CC BY.",

keywords = "Mixing, Textures, Eigen-value, Flavor physics, Guiding principles, Mixing parameters, Permutation symmetry, Simple++",

author = "Shao-Hsuan Chiu and T.K. Kuo",

year = "2022",

doi = "10.48550/arXiv.2205.11856",

language = "American English",

pages = "1--11",

journal = "arXiv",

issn = "2331-8422",

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TY - JOUR

T1 - Eigenvector-eigenvalue identities and an application to flavor physics

AU - Chiu, Shao-Hsuan

AU - Kuo, T.K.

PY - 2022

Y1 - 2022

N2 - The eigenvector-eigenvalue identities are expanded to include general mixing parameters. Some simple relations are obtained and they reveal an intricate texture of connections between the eigenvalues and the mixing parameters. Permutation symmetry (S3 × S3) plays an indispensable role in our analysis. It is the guiding principle for the understanding of our results – all of them are tensor equations under permutation. © 2022, CC BY.

AB - The eigenvector-eigenvalue identities are expanded to include general mixing parameters. Some simple relations are obtained and they reveal an intricate texture of connections between the eigenvalues and the mixing parameters. Permutation symmetry (S3 × S3) plays an indispensable role in our analysis. It is the guiding principle for the understanding of our results – all of them are tensor equations under permutation. © 2022, CC BY.

KW - Mixing

KW - Textures

KW - Eigen-value

KW - Flavor physics

KW - Guiding principles

KW - Mixing parameters

KW - Permutation symmetry

KW - Simple++

U2 - 10.48550/arXiv.2205.11856

DO - 10.48550/arXiv.2205.11856

M3 - Journal Article

SN - 2331-8422

SP - 1

EP - 11

JO - arXiv

JF - arXiv

ER -

Eigenvector-eigenvalue identities and an application to flavor physics

Abstract

Keywords

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