Quark and Lepton Mass Matrices Described by Charged Lepton Masses

TL;DR

This paper presents a unified mass matrix model for quarks and leptons that uses only charged lepton masses and six free parameters to accurately describe observed quark and neutrino mixing and mass ratios.

Contribution

It introduces a modified Yukawaon model that maintains phenomenological success with fewer parameters and provides a detailed theoretical formulation including superpotentials and R charge assignments.

Findings

Model accurately reproduces CKM and PMNS mixing matrices.

Uses only charged lepton masses as parameters.

Maintains success despite model modifications.

Abstract

Recently, we proposed a unified mass matrix model for quarks and leptons, in which, mass ratios and mixings of the quarks and neutrinos are described by using only the observed charged lepton mass values as family-number-dependent parameters and only six family-number-independent free parameters. In spite of quite few parameters, the model gives remarkable agreement with observed data (i.e. CKM mixing, PMNS mixing and mass ratios). Taking this phenomenological success seriously, we give a formulation of the so-called Yukawaon model in details from a theoretical aspect, especially for the construction of superpotentials and $R$ charge assignments of fields. The model is considerably modified from the previous one, while the phenomenological success is kept unchanged.