Relations between quark and lepton mixing angles and matrices

Abstract

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.

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

References in corpus (3)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Unified Parametrization of Quark and Lepton Mixing Matrices
• A New Parametrization of the Neutrino Mixing Matrix

Cited by in corpus (18)

• Unified Parametrization for Quark and Lepton Mixing Angles
• Tri-bimaximal-Cabibbo Mixing
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• U_{PMNS} = U_ell^dagger U_nu
• Quark lepton complementarity and renormalization group effects
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• Re-evaluation of neutrino mixing pattern according to latest T2K result
• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Energy scale independence of Koide's relation for quark and lepton masses
• Dependence of the Quark-Lepton Complementarity on Parametrizations of the CKM and PMNS Matrices
• Entangled maximal mixings in U_PMNS=U_l^dagger U_nu, and a connection to complex mass textures
• Comment on Reparametrization Invariance of Quark-Lepton Complementarity
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Are deviation from bi-maximal mixing and none-zero U_{e3} related to non-degeneracy of heavy Majorana neutrinos?
• Simple parametrization of neutrino mixing matrix