Eigenvector-eigenvalue identities and an application to flavor physics

Abstract

Abstract The eigenvector-eigenvalue identities areexpanded 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 ( $$S_{3}\times S_{3}$$ S 3 × 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.