On a Latent Structure of Lepton Universality

TL;DR

This paper explores the underlying structure of lepton universality by relating lepton mass components to charge, magnetic moments, and charge radius through flavor symmetry laws, proposing a unified view of lepton interactions.

Contribution

It introduces equations linking lepton mass components to their electromagnetic properties based on flavor symmetry, suggesting a universal interaction framework for leptons.

Findings

Leptons have equal charge, charge radius, and magnetic moment regardless of mass differences.

A principle connecting weak and electric masses supports lepton universality.

Leptons interact universally with gauge fields beyond photon and weak boson.

Abstract

The mass of an electroweakly charged lepton consists of the two components of electric and weak nature, and regardless of the difference in masses, all leptons have an equal charge, the same charge radius as well as an identical magnetic moment. Between these currents there appear the most diverse connections, for example, in their interactions with an electroweak field of spinless nuclei. We derive the united equations which relate the structural parts of mass to charge, charge radius and magnetic moment of each lepton as a consequence of the ideas of flavor symmetry laws. Therefore, these ideas require the verification of the lepton universality from the point of view of a constancy of the size implied from the multiplication of a weak mass of lepton by its electric mass. Such a principle gives the possibility to define the lepton weak masses. If this picture does not change, leptons universally interact not only with the photon or the weak boson but also with any of the corresponding types of gauge fields.