# Pauli form factors of electron and muon in nonlocal quantum electrodynamics

## TL;DR

This paper investigates the Pauli form factors of electron and muon within nonlocal quantum electrodynamics, highlighting differences from local QED at high momentum transfer and ensuring consistency with known anomalous magnetic moments.

## Contribution

It introduces a nonlocal QED model with a relativistic regulator that accurately reproduces electron and muon magnetic moments and explores differences from local QED at high energies.

## Key findings

- Nonlocal QED can match experimental anomalous magnetic moments.
- Significant differences between nonlocal and local QED appear at large momentum transfer.
- The correlation function effectively regulates the theory without spoiling low-energy results.

## Abstract

Pauli form factors of electron and muon are studied in nonlocal quantum electrodynamics. We calculate one loop QED correction to their Pauli form factors. The relativistic regulator is generated by the correlation function in the nonlocal interaction. The cut-off parameter $\Lambda$ in the regulator is determined to get the consistent anomalous magnetic moments of electron and muon at the same level as local QED. When momentum transfer is large, there exists obvious difference between nonlocal and local QED.