A new relation between quark and lepton mixing matrices

TL;DR

This paper introduces a new theoretical relation linking quark and lepton mixing matrices, enabling predictions of neutrino oscillation parameters and CP violation effects, with results consistent with recent experimental measurements.

Contribution

It proposes a novel relation between quark and lepton mixing matrices, providing a new framework to predict neutrino oscillation parameters and CP violation.

Findings

Predicted $ heta_{13}$ compatible with T2K results

Provided a new relation linking quark and lepton mixing matrices

Studied neutrino oscillation probabilities in various channels

Abstract

We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. Phenomenologically, we study the neutrino oscillation probabilities for different channels, which can be measured precisely in forthcoming reactor and accelerator experiments. As an example of the applicability of our assumption, CP violation in the lepton sector is also discussed. In the latest T2K experiment, the range of the mixing angle $\theta_{13}$ is measured, and our prediction of $\theta_{13}$ is compatible with their result.