Dependence of the Quark-Lepton Complementarity on Parametrizations of the CKM and PMNS Matrices

Abstract

The quark-lepton complementarity (QLC) is very suggestive in understanding possible relations between quark and lepton mixing matrices. We explore the QLC relations in all the possible angle-phase parametrizations and point out that they can approximately hold in five parametrizations. Furthermore, the vanishing of the smallest mixing angles in the CKM and PMNS matrices can make sure that the QLC relations exactly hold in those five parametrizations. Finally, the sensitivity of the QLC relations to radiative corrections is also discussed.

9 pages, 1 table

References in corpus (13)

• Updated Values of Running Quark and Lepton Masses
• Quark-Lepton Complementarity in Unified Theories
• Quark lepton complementarity and renormalization group effects
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• Radiatively broken symmetries of nonhierarchical neutrinos
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity
• Triminimal Parametrization of Quark Mixing Matrix
• Unified triminimal parametrizations of quark and lepton mixing matrices
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• On quark-lepton complementarity
• Predictions from non trivial Quark-Lepton complementarity

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• Fermion Masses and Mixing in General Warped Extra Dimensional Models