Quark-lepton complementarity revisited

TL;DR

This paper revisits quark-lepton complementarity relations across nine parametrizations using recent experimental data, confirming some relations and providing reparametrization-invariant forms to test their validity.

Contribution

It systematically analyzes QLC relations in multiple parametrizations with updated data and derives reparametrization-invariant forms for better experimental testing.

Findings

Two QLC relations hold in P1, P4, P6 parametrizations.

Only one QLC relation holds in P2, P3, P5, P9 parametrizations.

Reparametrization-invariant forms are consistent with experimental data.

Abstract

We reexamine the quark-lepton complementarity (QLC) in nine angle-phase parametrizations with the latest result of a large lepton mixing angle $\vartheta_{13}$ from the T2K, MINOS and Double Chooz experiments. We find that there are still two QLC relations satisfied in P1, P4 and P6 parametrizations, whereas only one QLC relation holds in P2, P3, P5 and P9 parametrizations separately. We also work out the corresponding reparametrization-invariant forms of the QLC relations and check the resulting expressions with the experimental data. The results can be viewed as a check of the validity of the QLC relations, as well as a new perspective into the issue of seeking for the connection between quarks and leptons.