Quark-lepton complementarity and self-complementarity in different schemes

TL;DR

This paper investigates how quark-lepton complementarity and self-complementarity relations among mixing angles vary across different schemes, emphasizing the importance of CP-violating phase measurements for understanding these relations.

Contribution

It calculates mixing angles and CP phases in eight schemes using latest data, analyzing their dependence on CP phases and scheme variations.

Findings

QLC and SC relations depend on CP phases in different schemes

Measurements of CP-violating phases are crucial for understanding QLC and SC

Mixing angles vary significantly across schemes depending on CP phases

Abstract

With the progress of increasingly precise measurements on the neutrino mixing angles, phenomenological relations such as quark-lepton complementarity (QLC) among mixing angles of quarks and leptons and self-complementarity (SC) among lepton mixing angles have been observed. Using the latest global fit results of the quark and lepton mixing angles in the standard Chau-Keung scheme, we calculate the mixing angles and CP-violating phases in the other eight different schemes. We check the dependence of these mixing angles on the CP-violating phases in different phase schemes. The dependence of QLC and SC relations on the CP phase in the other eight schemes is recognized and then analyzed, suggesting that measurements on CP-violating phases of the lepton sector are crucial to the explicit forms of QLC and SC in different schemes.