An explanation of experimental data of $(g-2)_{e,\mu}$ in 3-3-1 models with inverse seesaw neutrinos

TL;DR

This paper demonstrates that simple 3-3-1 model extensions with heavy neutrinos and a charged Higgs can simultaneously explain the muon and electron anomalous magnetic moments, emphasizing the role of chirally-enhanced one-loop contributions.

Contribution

It introduces a model extension with inverse seesaw neutrinos and charged Higgs bosons that accounts for both $(g-2)$ anomalies, highlighting the importance of non-unitary neutrino mixing and heavy neutrino masses.

Findings

Heavy neutrinos generate active neutrino masses via inverse seesaw.

Chirally-enhanced one-loop contributions are crucial for explaining $(g-2)$ anomalies.

Numerical analysis supports the model's viability with neutrino mass and mixing constraints.

Abstract

We show that the anomalous magnetic moment experimental data of muon and electron $(g-2)_{\mu,e}$ can be explained simultaneously in simple extensions of the 3-3-1 models consisting of new heavy neutrinos and a singly charged Higgs boson. The heavy neutrinos generate active neutrino masses and mixing through the general seesaw mechanism. They also have non-zero Yukawa couplings with singly charged Higgs bosons and right-handed charged leptons, which result in large one-loop contributions known as \emph{chirally-enhanced} ones. Numerical investigation confirms a conclusion indicated previously that these contributions are the key point to explain the large $(g-2)_{\mu,e}$ data, provided that the inverse seesaw mechanism is necessary to allow both conditions that heavy neutrino masses are above few hundred GeV and non-unitary part of the active neutrino mixing matrix must be large enough.