One-loop Kahler potential in non-renormalizable theories

TL;DR

This paper calculates the one-loop quantum corrections to the Kahler potential in general N=1 supersymmetric theories, providing explicit formulas and verifying non-renormalization properties.

Contribution

It presents a comprehensive derivation of the one-loop Kahler potential correction in non-renormalizable supersymmetric theories using a component field approach.

Findings

Full one-loop correction to the Kahler potential obtained.

Verification of superpotential non-renormalization.

Quadratic correction to Fayet-Iliopoulos terms confirmed.

Abstract

We consider a general d=4 N=1 globally supersymmetric lagrangian involving chiral and vector superfields, with arbitrary superpotential, Kahler potential and gauge kinetic function. We compute perturbative quantum corrections by employing a component field approach that respects supersymmetry and background gauge invariance. In particular, we obtain the full one-loop correction to the Kahler potential in supersymmetric Landau gauge. Two derivations of this result are described. The non-renormalization of the superpotential and the quadratic correction to the Fayet-Iliopoulos terms are further checks of our computations.