Two loop effective kaehler potential of (non-)renormalizable supersymmetric models

TL;DR

This paper calculates the two-loop effective Kaehler potential in general four-dimensional N=1 supersymmetric theories, including non-renormalizable models, providing a comprehensive quantum correction analysis.

Contribution

It presents a supergraph computation method for the two-loop effective Kaehler potential applicable to a broad class of supersymmetric models, including anomalous theories.

Findings

Derived explicit two-loop corrections for various models

Extended the understanding of quantum effects in supersymmetric theories

Applicable to both renormalizable and non-renormalizable models

Abstract

We perform a supergraph computation of the effective Kaehler potential at one and two loops for general four dimensional N=1 supersymmetric theories described by arbitrary Kaehler potential, superpotential and gauge kinetic function. We only insist on gauge invariance of the Kaehler potential and the superpotential as we heavily rely on its consequences in the quantum theory. However, we do not require gauge invariance for the gauge kinetic functions, so that our results can also be applied to anomalous theories that involve the Green-Schwarz mechanism. We illustrate our two loop results by considering a few simple models: the (non-)renormalizable Wess-Zumino model and Super Quantum Electrodynamics.