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 Delta(V)=|V_{12}|^2- |V_{21}|^2 of V with respect to the main diagonal and the Jarlskog invariant J(V)=Im(V_{11}V_{12}^*V_{21}^*V_{22}), 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.