An Underlying Symmetry Determines all Elements of CKM and PMNS up to a Universal Constant?

Observing the CKM matrix elements written in different parametrization schemes,one can notice obvious relations among the sine-values of the CP phases in those schemes.Using the relations,we establish a few parametrizationindependent equations,by which the matrix elements of the CKM matrix can be co...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:理论物理通讯:英文版 2015 (11), p.519-524
1. Verfasser: 柯红卫 李学潜
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Observing the CKM matrix elements written in different parametrization schemes,one can notice obvious relations among the sine-values of the CP phases in those schemes.Using the relations,we establish a few parametrizationindependent equations,by which the matrix elements of the CKM matrix can be completely fixed up to a universal parameter.If it is true,we expect that there should exist a hidden symmetry in the nature,which determines the relations.Moreover,it requires a universal parameter,naturally it would be the famous Jarlskog invariant,which is also parametrization independent.Thus the four parameters(three mixing angles and one CP phase) of the CKM matrix are not free,but determined by the symmetry and the universal parameter.As we generalize the rules to the PMNS matrix for neutrino mixing,the CP phase of the lepton sector is predicted to be within a range of 0 ~ 59° centered at39°(in the P_a parametrization) which will be tested in the future experiments.
ISSN:0253-6102