# $(g-2)_{\mu,e}$ and the ANITA anomalous events in a three-loop neutrino mass model

## TL;DR

This paper proposes a three-loop neutrino mass model within an $E_6$ GUT framework to explain the discrepancies in electron and muon magnetic moments, but finds it cannot account for ANITA's anomalous events.

## Contribution

It introduces a novel three-loop neutrino mass model that addresses lepton magnetic moment deviations within a grand unified theory context.

## Key findings

- Explains the $g-2$ deviations for electron and muon.
- Finds insufficient enhancement for ANITA events.
- Connects neutrino mass generation with magnetic moment anomalies.

## Abstract

The most recent measurement of the fine structure constant leads to a 2.4 $\sigma$ deviation in the electron anomalous magnetic moment $g_{e}$-2, while the muon anomalous magnetic moment $g_\mu$-2 has a long standing 3.7 $\sigma$ deviation in the opposite direction. We show that these deviations can be explained in a three-loop neutrino mass model based on an $E_6$ Grand Unified Theory. We also study the impact such a model can have on the anomalous events observed by the ANITA experiment and find an insufficient enhancement of the event rate.