Stuckelberg SUSY QED and Infrared Problem

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.

arXiv comment16 pages, 4 figures

References in corpus (14)

• Ultralight scalars as cosmological dark matter
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• Photon and Graviton Mass Limits
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• Modified St$\ddot{u}$ckelberg Formalism: Free Massive Abelian 2-Form Theory in 4D
• Revisiting the Abelian $N=1$ super Stueckelberg model
• Generalized Landau Yang Theorem
• Constraints and Conserved Charges for Modified Massive and Massless Abelian 1-Form and 2-Form Theories: A Brief Review