We study a holomorphic effective potential Weff(Φ) in chiral superfield model defined in terms of arbitrary k\"{a}hlerian potential K(Φˉ,Φ) and arbitrary chiral potential W(Φ). Such a model naturally arises as an ingredient of low-energy limit of superstring theory and it is called here the general chiral superfield model. Generic procedure for calculating the chiral loop corrections to effective action is developed. We find lower two-loop correction in the form Weff(2)(Φ)=6/(4π)4Wˉ′′′2(0)(KΦΦˉ(0,Φ)2W′′(Φ))3 where KΦΦˉ(0,Φ)=∂Φ∂Φˉ∂2K(Φˉ,Φ)∣Φˉ=0 and ζ(x) be Riemannian zeta-function. This correction is finite at any K(Φˉ,Φ),W(Φ).
@article{arxiv.hep-th/9905062,
title = {Holomorphic effective potential in general chiral superfield model},
author = {I. L. Buchbinder and A. Yu. Petrov},
journal= {arXiv preprint arXiv:hep-th/9905062},
year = {2009}
}