https://doi.org/10.1140/epjc/s2005-02251-8
Theoretical Physics
Relations between quark and lepton mixing angles and matrices
1
Department of Physics, Peking University, 100871, Beijing, P.R. China
2
CCAST (World Laboratory), P.O. Box 8730, 100080, Beijing, P.R. China
We discuss the relations between the mixing angles and the mixing matrices of quarks and leptons. With Raidal’s numerical relations, we parameterize the lepton mixing (PMNS) matrix with the parameters of the quark mixing (CKM) matrix, and calculate the products of V CKM U PMNS and U PMNS V CKM. Also, under the conjectures V CKM U PMNS = U bimax or U PMNS V CKM = U bimax, we get the PMNS matrix naturally, and test Raidal’s relations in these two different versions. The similarities and the differences between the different versions are discussed in detail.
© Springer-Verlag, 2005