Charged Lepton Mass Spectrum and Supersymmetric Yukawaon Model

TL;DR

This paper explores a supersymmetric yukawaon model to determine the superpotential form that reproduces the observed charged lepton mass spectrum, providing insights into mass relations at a specific energy scale.

Contribution

It proposes a simple superpotential form within the yukawaon model that explains charged lepton mass ratios and related parameters at a given energy scale.

Findings

Derived reasonable values for K(μ) and κ(μ) at scale μ=Λ.

Connected superpotential structure to observed mass spectrum.

Provided theoretical basis for charged lepton mass relations.

Abstract

On the basis of the so-called supersymmetric yukawaon model, it is investigated what form of the superpotential W can lead to the observed charged lepton mass spectrum. A simple form of W can speculate reasonable values of K(\mu)=(m_e +m_\mu + m_\tau)/(\sqrt{m_e} + \sqrt{m_\mu} + \sqrt{m_\tau})^2 and \kappa(\mu)=\sqrt{m_e m_\mu m_\tau}/ (\sqrt{m_e} + \sqrt{m_\mu}+ \sqrt{m_\tau})^3 at an energy scale \mu=\Lambda.