Hierarchical masses and universal mixing in quark-lepton mass matrices

TL;DR

This paper explores a hypothesis linking quark and lepton mixing matrices, explaining their differences and predicting CP violation phases, by constructing mass matrices with specific power law relations.

Contribution

It develops a universality hypothesis for quark and lepton mixing, providing a framework that explains their contrasting behaviors and predicts CP violation phases.

Findings

CKM is nearly diagonal, MNS is nearly maximally mixed

Dirac CP phase in MNS is bounded near 0 or π

Constructed mass matrices exhibit simple power law relations

Abstract

The universality hypothesis for quark and lepton mixing matrices (CKM and MNS) is further developed. This hypothesis explains why the CKM is almost diagonal whereas the MNS is almost maximally mixed. If this hypothesis is true, the Dirac CP violating phase of the MNS mixing matrix is bounded around $\pi$ or 0. Quark-lepton mass matrices which realizes this hypothesis are constructed, showing simple power law relations among mass matrices for up-type, down-type quarks and neutrinos.