Electron and muon anomalous magnetic dipole moment in a 3-3-1 model

TL;DR

This paper investigates how a 3-3-1 model with heavy leptons can explain the anomalous magnetic moments of electrons and muons, constraining model parameters to match experimental data within certain ranges.

Contribution

It provides a detailed analysis of parameter constraints in a 3-3-1 model to simultaneously fit electron and muon g-2 values, considering lepton mass matrices and mixing.

Findings

Simultaneous fit of electron and muon g-2 is challenging at 1-loop order.

A viable fit requires an extra lepton mass of 20-40 GeV.

The symmetry breaking scale should be around 60-80 TeV.

Abstract

We calculate, in the context of a 3-3-1 model with heavy charged leptons, constraints on some parameters of the extra particles in the model by imposing that their contributions to both the electron and muon $(g-2)$ factors are in agreement with experimental data up to 1$\sigma$-3$\sigma$. In order to obtain realistic results we use some of the possible solutions of the left- and right- unitary matrices that diagonalize the lepton mass matrices, giving the observed lepton masses and at the same time allowing to accommodate the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) mixing matrix. We show that, at least up to 1-loop order, in the particular range of the space parameter that we have explored, it is not possible to fit the observed electron and muon $(g-2)$ factors at the same time unless one of the extra leptons has a mass of the order of 20-40 GeVs and the energy scale of the 331 symmetry to be of around 60-80 TeVs.