Implications of measured properties of the mixing matrix on mass matrices

Abstract

It is shown how the two experimentally measurable properties of the mixing matrix V, the asymmetry Δ(V) = |V₁₂|² - |V₂₁|² of V with respect to the main diagonal and the Jarlskog invariant J(V)= Im(V₁₁V^∗₁₂V ^∗₂₁V₂₂), can be exploited to obtain constraints on possible structures of mass matrices in the quark sector. Specific mass matrices are examined in detail as an illustration.