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arxiv: 1506.08984 · v1 · pith:FFPH7AEOnew · submitted 2015-06-30 · ✦ hep-ph

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

classification ✦ hep-ph
keywords matrixphasealphaanti-sudatadelqright-handedunification
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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, $\delq=\alpha,\beta,$ or $\gamma$ of the unitarity triangle. For the choice of $\delq=\alpha$, the phase is close to a maximal one.

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