Abstract
In this article we aim to find the constraints on the quark mass matrices for the symmetric Cabibbo-Kobayashi-Maskawa (CKM) matrix . We work in the bases, where (i) is diagonal, (ii) is diagonal, and (iii) , i.e., , where and are matrices that diagonalize the up- and down-quark mass matrices, respectively, and is the phase matrix. We find that none of the moduli of the off-diagonal elements of these interesting forms of the quark mass matrices and , which lead to the symmetric CKM matrix, are consistent with zero for these Ansätze, which means that such forms for mass matrices are difficult to obtain from any symmetry. We then give the symmetry constraint for written in terms of the mass eigenvalues in a basis-independent form.
- Received 12 July 1991
DOI:https://doi.org/10.1103/PhysRevD.45.2421
©1992 American Physical Society