Lepton masses in a non universal U(1) model with three families

TL;DR

This paper proposes a U(1) extension to the Standard Model that explains lepton masses using effective operators and the inverse seesaw mechanism, fitting experimental data for charged leptons and neutrinos.

Contribution

It introduces a novel U(1)_{X} model with effective operators and sterile neutrinos to reproduce lepton mass hierarchies consistent with experimental observations.

Findings

Successfully fitted model parameters to known lepton masses.

Derived allowed regions for Yukawa couplings.

Reproduced neutrino oscillation data within the model.

Abstract

We present an extension $U(1)_{X}$ to the Standard Model that reproduces the lepton mass structures determined by the experiments. In the charged sector, we introduced effective operators of dimension $n = 7$ to generate the mass of the electron, which is null at tree-level due to the $X$ charge. In the neutral sector, we added three sterile right-handed neutrinos and three Majorana neutrinos to generate the mass structure for the left-handed neutrinos, by the inverse seesaw mechanism. The model free parameters were fitted with the known mass eigenvalues $m_{e},\,m_{\mu},\,m_{\tau}$, and with the most recent results of a global analysis of the data from neutrino oscillation. From the adjustment of the free parameters, we obtained allowed regions for the Yukawa coupling set.