Eigenvector-eigenvalue identities and an application to flavor physics

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 x 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.

Automated summary

The eigenvector-eigenvalue identities are extended to include general mixing parameters. Simple relations are derived, which reveal a complex texture of connections between the eigenvalues and the mixing parameters. The analysis relies on permutation symmetry and all results are expressed as tensor equations under permutation.