One-loop effective action in ${\cal N}=2$ supersymmetric massive Yang-Mills theory

TL;DR

This paper develops a gauge-invariant, supersymmetric method to compute one-loop effective actions in massive ${ m N}=2$ supersymmetric Yang-Mills theory, including counterterms with Stueckelberg superfields, within harmonic superspace.

Contribution

It introduces a novel gauge-invariant, off-shell loop expansion scheme for ${ m N}=2$ supersymmetric theories and calculates explicit one-loop counterterms, including those involving Stueckelberg superfields.

Findings

Derived gauge-invariant one-loop counterterms in ${ m N}=2$ supersymmetric massive Yang-Mills theory.

Identified new counterterms depending on Stueckelberg superfields.

Analyzed the component structure of key counterterms.

Abstract

We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the Stueckelberg superfield), which result in dual formulations of the theory, are presented. We develop a gauge-invariant and explicitly supersymmetric scheme of the loop off-shell expansion of the superfield effective action. In the framework of this scheme, we calculate gauge-invariant and explicitly ${\cal N}=2$ supersymmetric one-loop counterterms including new counterterms depending on the Stueckelberg superfield. Component structure of one of these counterterms is analyzed.