The CKM matrix from anti-SU(7) unification of GUT families

Abstract

We estimate the CKM matrix elements in the recently proposed minimal model, anti-SU(7) GUT for the family unification, $[3]+2[2]+8[\bar{1}]$+\,(singlets). It is shown that the real angles of the right-handed unitary matrix diagonalizing the mass matrix can be determined to fit the Particle Data Group data. However, the phase in the right-handed unitary matrix is not constrained very much. We also includes an argument about allocating the Jarlskog phase in the CKM matrix. Phenomenologically, there are three classes of possible parametrizations, $\text{delq}=\alpha ,\beta ,$ or $\gamma$ of the unitarity triangle. For the choice of $\text{delq}=\alpha$, the phase is close to a maximal one.

Comments: 11 pages of LaTex file with 2 figures