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 ($S_3\times S_3$) 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.

arXiv comment11 pages

References in corpus (6)

• Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
• Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter
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• Continuous and Discrete Symmetries of Renormalization Group Equations for Neutrino Oscillations in Matter
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Cited by in corpus (1)

• Hermitian Matrix Diagonalization and its Symmetry Properties