2015/06/30 by Hong-Wei Ke, Song-Xue Zhao, Xue-Qian Li · 1 citation
Physics and Astronomy · #Cabibbo–Kobayashi–Maskawa matrix #Group (periodic table) #Matrix (chemical analysis) #Mixing (physics) #Neutrino Physics Research #Parametrization (atmospheric modeling) #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #Symmetry (geometry) #Symmetry group #hep-ex #hep-ph
paper · pdf · doi:10.1088/1674-1137/40/5/053101
published in Chinese Physics C 40(5), 053101 (IOP Publishing) · 11 pages, Submitted to 'Chinese Physics C'
arxiv created 2015/09/29 · arxiv updated 2016/03/10 · openalex publication_date 2016/05/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Investigating the CKM matrix in different parameterization schemes, it is noticed that those schemes can be divided into a few groups where the sine values of the CP phase for each group are approximately equal i.e. there exist several relations among the CP phases. Using those relations, several approximate equalities among the elements of CKM matrix are established. The case can also be generalized to the PMNS matrix for the lepton sector. Assuming them to be exact, there are infinite numbers of solutions and by choosing special values for the free parameters in those solutions, several textures presented in the literature are obtained. Other authors have derived several mixing textures by using presumed symmetries; amazingly, some, though not all, of their forms are the same as those we obtained. This hints at the existence of a hidden symmetry which is broken in the practical world. Nature makes its own selection of the underlying symmetry and the way to break it, while we just guess what it is.