Symmetric Cabibbo-Kobayashi-Maskawa matrix and quark mass matrices

Samal, Manoj K. ; Sarkar, Utpal (1992) Symmetric Cabibbo-Kobayashi-Maskawa matrix and quark mass matrices Physical Review D - Particles, Fields, Gravitation and Cosmology, 45 (7). pp. 2421-2426. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v45/i7/p2421_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.45.2421

Abstract

In this article we aim to find the constraints on the quark mass matrices for the symmetric Cabibbo-Kobayashi-Maskawa (CKM) matrix V. We work in the bases, where (i) Mu is diagonal, (ii) Md is diagonal, and (iii) Md=f(Mu), i.e., U=DP, where U and D are matrices that diagonalize the up- and down-quark mass matrices, respectively, and P 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 Mu and Md, 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 V written in terms of the mass eigenvalues in a basis-independent form.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:45482
Deposited On:27 Jun 2011 12:55
Last Modified:27 Jun 2011 12:55

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