Charged Lepton Mass Relations in a Supersymmetric Yukawaon Model

TL;DR

This paper explores a supersymmetric Yukawaon model with a U(3) flavor symmetry that naturally reproduces charged lepton mass relations without adjustable parameters, advancing understanding of fermion mass structures.

Contribution

It proposes a specific superpotential form in a Yukawaon model that yields charged lepton mass relations empirically without free parameters.

Findings

Reproduces charged lepton mass relation naturally

Uses a superpotential with U(3) flavor symmetry

No adjustable parameters needed

Abstract

According to an idea that effective Yukawa coupling constants Y_f^{eff} are given vacuum expectation values < Y_f> of fields ("Yukawaons") Y_f as Y_f^{eff}=y_f < Y_f>/\Lambda, a possible superpotential form in the charged lepton sector under a U(3) [or O(3)] flavor symmetry is investigated. It is found that a specific form of the superpotential can lead to an empirical charged lepton mass relation without any adjustable parameters.