A Possible Hidden Symmetry and Geometrical Source of the Phase in the CKM Matrix

Details A Possible Hidden Symmetry and Geometrical Source of the Phase in the CKM Matrix A Possible Hidden Symmetry and Geometrical Source of the Phase in the CKM Matrix

1998-09-25

arxiv.org/abs/hep-ph/9809527v1

Eur.Phys.J.C9:437-451,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, Latex file

Scientific paper

10.1007/s100529900030

Based on the present data, the three CKM angles may construct a spherical surface triangle whose area automatically provides a "holonomy" phase. By assuming this geometrical phase to be that in the CKM matrix determined by an unknown hidden symmetry, we compare the theoretical prediction on $\epsilon$ with data and find they are consistent within error range. We also suggest restrictions for the Wolfenstein parameters explicitly, the agreement will be tested by more precise measurements in the future. At least we can claim that such geometrical phase should be part of the weak phase appearing in the CKM matrix, even not the whole.

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