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

Citation
Jl. Chen et al., A possible hidden symmetry and geometrical source of the phase in the CKM matrix, EUR PHY J C, 9(3), 1999, pp. 437-441
Citations number
33
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
9
Issue
3
Year of publication
1999
Pages
437 - 441
Database
ISI
SICI code
1434-6044(199907)9:3<437:APHSAG>2.0.ZU;2-R
Abstract
Based on the present data, the three Cabibbo-Kobayashi-Maskawa (CKM) angles may construct a spherical surface triangle whose area automatically provid es a "holonomy" phase. By assuming this geometrical phase to be that in the CKM matrix determined by an unknown hidden symmetry, we compare the theore tical prediction on epsilon with experimental data and find the two are con sistent within error range. The alpha, beta, gamma predicted from this symm etry are also consistent with data. Further applications to the B-physics a re briefly discussed. We also suggest restrictions for the Wolfenstein para meters explicitly; the agreement will be tested by more precise measurement s in the future.