Two-loop finiteness of self-energies in higher-derivative SQED3

TL;DR

This paper demonstrates that incorporating Lee-Wick higher-derivative operators into 3D supersymmetric QED removes all two-loop ultraviolet divergences in scalar and gauge self-energies, improving the theory's ultraviolet behavior.

Contribution

It introduces Lee-Wick higher-derivative operators into 3D supersymmetric QED and shows they eliminate two-loop divergences in self-energies.

Findings

All two-loop divergences in scalar self-energies are removed.

All two-loop divergences in gauge self-energies are removed.

Ghosts from Lee-Wick operators are crucial for divergence cancellation.

Abstract

In the superfield formalism, two higher-derivative kinetic operators (Lee-Wick operators) are implemented into the standard three dimensional supersymmetric quantum electrodynamics for improving its ultraviolet behavior. It is shown in particular that the ghosts associated with these Lee-Wick operators allow to remove all ultraviolet divergences in the scalar and gauge self-energies at two-loop level.