# Unimodular Gravity and the lepton anomalous magnetic moment at one-loop

## TL;DR

This paper calculates the one-loop correction to the lepton's magnetic moment from Unimodular Gravity and finds it matches the correction from General Relativity, using Dimensional Regularization and Reduction.

## Contribution

It demonstrates that Unimodular Gravity yields the same one-loop correction to the lepton magnetic moment as General Relativity, clarifying their equivalence at this quantum level.

## Key findings

- Unimodular Gravity's one-loop correction matches that of General Relativity.
- Dimensional Regularization and Reduction methods produce consistent results.
- Supports the equivalence of Unimodular Gravity and General Relativity at quantum one-loop level.

## Abstract

We work out the one-loop contribution to the lepton anomalous magnetic moment coming from Unimodular Gravity. We use Dimensional Regularization and Dimensional Reduction to carry out the computations. In either case, we find that Unimodular Gravity gives rise to the same one-loop correction as that of General Relativity.