Realization of the Lepton Flavor Structure from Point Interactions

TL;DR

This paper presents a 5D gauge theory model with point interactions that naturally explains lepton flavor structure, mass hierarchies, and tiny neutrino masses without additional mechanisms, predicting CP violation consistent with experiments.

Contribution

It introduces a novel 5D gauge theory framework with point interactions that reproduces lepton flavor phenomena and neutrino properties without relying on see-saw mechanisms or extra symmetries.

Findings

Reproduces three lepton generations and mass hierarchies

Predicts tiny neutrino masses without see-saw or symmetries

Provides a potential prediction for CP violation in leptons

Abstract

We investigate a 5d gauge theory on $S^1$ with point interactions. The point interactions describe extra boundary conditions and provide three generations, the charged lepton mass hierarchy, the lepton flavor mixing and tiny degenerated neutrino masses after choosing suitable boundary conditions and parameters. The existence of the restriction in the flavor mixing, which appears from the configuration of the extra dimension, is one of the features of this model. Tiny Yukawa couplings for the neutrinos also appears without the see-saw mechanism nor symmetries in our model. The magnitude of CP violation in the leptons can be a prediction and is consistent with the current experimental data.