A Model of Quark and Lepton Mixing and Mass Hierarchy

TL;DR

This paper presents a unified model linking quark and lepton mass hierarchies with their mixing patterns using two master matrices, providing a qualitative and predictive framework for flavor structure.

Contribution

It combines a 1996 idea on mass hierarchies with a recent scheme for relating quark and neutrino mixing into a comprehensive flavor model.

Findings

The entire flavor structure is expressed via two master matrices.

The model qualitatively reproduces observed mass hierarchies.

It offers a predictive scheme for quark and lepton mixing patterns.

Abstract

It is shown that an idea proposed in 1996 that relates in a qualitatively correct way the inter-family mass hierarchies of the up quarks, down quarks, charged leptons, and neutrinos, can be combined with a predictive scheme recently proposed for relating quark mixing and neutrino mixing. In the resulting model, the entire flavor structure of the quarks and leptons is expressible in terms of two "master matrices": a diagonal matrix that gives the inter-family mass ratios, and an off-diagonal matrix that controls all flavor mixing.