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

Understand

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.