Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters

Abstract

Inspired by a new relation ${\theta }_{13}^{\mathrm{PMNS}}={\theta }_C/\sqrt{2}$ observed from the relatively large ${\theta }_{13}^{\mathrm{PMNS}}$, we find that the combination of this relation with the quark-lepton complementarity and the self-complementarity results in correlations of the lepton mixing angles with the quark mixing angles. We find that the three mixing angles in the PMNS matrix are all related to the Wolfenstein parameter $\lambda$ in the quark mixing, so they are also correlated. Consequently, the PMNS matrix can be parameterized by $\lambda$, A, and a Dirac CP-violating phase $\delta$. Such parametrizations for the PMNS matrix have the same explicitly hierarchical structure as the Wolfenstein parametrization for the CKM matrix in the quark mixing, and the bimaximal mixing pattern is deduced at the leading order. We also discuss implications of these phenomenological relations in parametrizations.

10 pages, no figure, final version for publication in PRD

References in corpus (19)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Possible Alternatives to Tri-bimaximal Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Quark-Lepton Complementarity in Unified Theories
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Quark lepton complementarity and renormalization group effects
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• Quark-lepton complementarity, neutrino and standard model data predict $({\theta }_{13}^{PMNS}=9_{-2}^{+1}{)}^{\circ }$
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14
• Quark and lepton mixing angles with a dodeca-symmetry
• A new relation between quark and lepton mixing matrices
• Triminimal Parametrization of Quark Mixing Matrix
• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• Unified triminimal parametrizations of quark and lepton mixing matrices
• Dependence of the Quark-Lepton Complementarity on Parametrizations of the CKM and PMNS Matrices

Cited by in corpus (1)

• Bilarge Neutrino Mixing and Abelian Flavor Symmetry