Universality of Quark-Lepton Mass Matrix

TL;DR

This paper proposes a universal mixing hypothesis linking quark and lepton mass matrices, successfully incorporating the observed lepton mixing angle θ13 and suggesting a common underlying structure.

Contribution

It introduces a new universal mixing framework connecting quark and lepton sectors through a shared unitary matrix with phase differences, explaining recent experimental observations.

Findings

Incorporates θ13 into a universal mixing model

Proposes a phase relation between quark and lepton matrices

Suggests a common underlying structure for mass matrices

Abstract

The recently observed lepton mixing angle $\theta_{13}$ of the MNS mixing matrix is well incorporated in a universal mixing hypothesis between quark and lepton sectors. This hypothesis asserts that, in the charged lepton diagonal base, all other mass matrices for up- and down-type quarks and light neutrinos are diagonalized by the same unitary matrix except for the phase elements. It is expressed as $V_{CKM}= U_{MNS}(\delta^\prime)^\dagger P U_{MNS}(\delta)$ for quark mixing matrix $V_{CKM}$ and lepton mixing matrix $U_{MNS}(\delta)$ in the phenomenological level. Here $P$ is a diagonal phase mass matrix. $\delta^\prime$ is a slightly different phase parameter from the Dirac CP violating phase $\delta=1.1\pi$ (best fit) in the MNS lepton mixing matrix.