Two-loop effective potentials in general N=2, d=3 chiral superfield model

TL;DR

This paper calculates two-loop quantum corrections to the effective potentials in three-dimensional N=2 supersymmetric chiral superfield models, confirming non-renormalization properties and providing explicit formulas for the effective scalar potential.

Contribution

It provides explicit two-loop effective potential calculations for general N=2, d=3 chiral superfield models, including the Wess-Zumino model, extending previous one-loop results.

Findings

Ultraviolet divergences only in full superspace integrals

Effective chiral potential is finite in the massless case

Explicit two-loop scalar potential for the N=2 Wess-Zumino model

Abstract

We study local superspace contributions to low-energy effective action in general chiral three-dimensional superfield model. The effective Kahler and chiral potentials are computed in explicit form up to the two-loop order. In accordance with the non-renormalization theorem, the ultraviolet divergences appear only in the full superspace while the effective chiral potential receives only finite quantum contributions in the massless case. As an application, the two-loop effective scalar potential is found for the three-dimensional N=2 supersymmetric Wess-Zumino model.