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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 cutoff 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. Therefore, Pauli form factor of lepton is the unique quantity to test the standard model and point particle assumption.

Pauli form factors of electron and muon in nonlocal quantum electrodynamics