Stuckelberg SUSY QED and Infrared Problem

TL;DR

This paper reviews a supersymmetric massive U(1) gauge theory with Stuckelberg superfields, demonstrating it is free of infrared divergences in the massless limit, offering a potential solution to infrared issues in SUSY QED.

Contribution

It explicitly verifies the infrared divergence-free nature of the theory in the massless limit, highlighting the Stuckelberg mechanism as an effective approach in SUSY QED.

Findings

The theory is infrared divergence free in the massless limit.

Stuckelberg mechanism effectively handles infrared divergences.

Additional particles could serve as dark matter candidates.

Abstract

We review gauge invariant $\mathcal N =1$ supersymmetric massive $U(1)$ gauge theory coupled to matter and Stuckelberg superfields. We focus on the leading order self energy and vertex correction to the matter field in the massless limit of both the $U(1)$ vector superfield and the Stuckelberg superfield. We explicitly verify that the theory is infrared divergence free in the massless limit. Hence the Stuckelberg mechanism appears to be the efficient route to handle infrared divergences seen in supersymmetric quantum electrodynamics.Since these additional particles have very small masses they can serve as dark matter candidates through `Ultralight particles' mechanism.