2021 Impact factor 4.991
Particles and Fields
Eur. Phys. J. C 9, 437-441
DOI 10.1007/s100529900030

A possible hidden symmetry and geometrical source of the phase in the CKM matrix

Jing-Ling Chen1 - Mo-Lin Ge1,2 - Xue-Qian Li3,4 - Yong Liu1,5

1 Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P.R.China
2 Center for Advanced Study, Tsinghua University, Beijing 100084, P.R.China - CCAST(World Laboratory) P.O.Box 8730, Beijing 100080, P.R.China
3 Department of Physics, Nankai University, Tianjin 300071, P.R.China
4 Laboratory of Numeric Study for Heliospheric Physics (LHP), Chinese Academy of Sciences, P.O.Box 8701, Beijing 100080, P.R. China

Received: 7 September 1998 / Revised version: 4 January 1999 / Published online: 28 May 1999

Based on the present data, the three Cabibbo-Kobayashi-Maskawa (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 experimental data and find the two are consistent within error range. The $\alpha,\beta,\gamma$predicted from this symmetry are also consistent with data. Further applications to the B-physics are briefly discussed. We also suggest restrictions for the Wolfenstein parameters explicitly; the agreement will be tested by more precise measurements in the future.

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