Superspace evaluation of the two-loop effective potential for the O'Raifeartaigh model

TL;DR

This paper develops a systematic method using superspace techniques to compute the two-loop effective potential in the O'Raifeartaigh model, demonstrating the approach's effectiveness in analyzing spontaneous supersymmetry breaking.

Contribution

It introduces a novel application of superspace methods to calculate two-loop corrections in a supersymmetry-breaking model, extending existing techniques.

Findings

Successfully computed the two-loop effective potential.

Confirmed the applicability of superspace techniques in supersymmetry-breaking scenarios.

Provided detailed superpropagator calculations for the O'Raifeartaigh model.

Abstract

All-order spurion-corrected superpropagators and superfield Feynman rules are employed to systematically compute a two-loop corrected effective potential for the O'Raifeartaigh model, that realizes spontaneous supersymmetry breaking. Though the shifted superpropagators are rather nontrivial, superspace techniques may be suitably extended and confirm their efficacy in computing radiative corrections even when supersymmetry breakdown occurs.