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
Abstract
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
with experimental data and find the two are consistent within error range.
The 
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.
Copyright Springer-Verlag
