Relations between quark and lepton mixing angles and matrices

Details Relations between quark and lepton mixing angles and matrices Relations between quark and lepton mixing angles and matrices

2005-04-18

arxiv.org/abs/hep-ph/0504161v2

Eur.Phys.J.C42:17-24,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figure, final version to appear in EPJC

Scientific paper

10.1140/epjc/s2005-02251-8

We discuss the relations between the mixing angles and the mixing matrices of quarks and leptons. With Raidal's numerical relations, we parametrize the lepton mixing (PMNS) matrix with the parameters of the quark mixing (CKM) matrix, and calculate the products of $V_{\mathrm{CKM}}U_{\mathrm{PMNS}}$ and $U_{\mathrm{PMNS}}V_{\mathrm{CKM}}$. Also, under the conjectures $V_{\mathrm{CKM}}U_{\mathrm{PMNS}}=U_{\mathrm{bimax}}$ or $U_{\mathrm{PMNS}}V_{\mathrm{CKM}}=U_{\mathrm{bimax}}$, 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.

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