Axial current in QED and semi-naive dimensional renormalization

TL;DR

This paper performs a two-loop renormalization of the axial current and related operators in massless QED using a semi-naive dimensional scheme, confirming consistency with established methods.

Contribution

It introduces and applies a semi-naive dimensional renormalization scheme to two-loop calculations in massless QED, aligning results with traditional schemes.

Findings

Results agree with previous three-loop computations in other schemes.

Validated the semi-naive scheme for axial current renormalization.

Demonstrated scheme consistency at two-loop level.

Abstract

We renormalize at two loops the axial current and $F \tilde{F}$ in massless QED, using the recently proposed semi-naive dimensional renormalization scheme. We show that the results are in agreement with those in the Breitenlohner-Maison-'t Hooft-Veltman scheme, previously obtained indirectly by making a three-loop computation.