One-loop Kähler potential in non-renormalizable theories

Abstract

We consider a general d=4,N=1 globally supersymmetric Lagrangian involving chiral and vector superfields, with arbitrary superpotential, Kähler 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 Kähler 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.