Holomorphic effective potential in general chiral superfield model

We study a holomorphic effective potential Weff(Φ) in chiral superfield model defined in terms of arbitrary kählerian potential K(Φ̄,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 chiral correction in the formWeff(2)(Φ)=6(4π)4ζ(3)W̄′′′2(0)W′′(Φ)K2ΦΦ̄(0,Φ)3 , KΦΦ̄(0,Φ)=∂2K(Φ̄,Φ)∂Φ∂Φ̄Φ̄=0and ζ(x) be the Riemannian dzeta-function. This correction is finite at any K(Φ̄,Φ), W(Φ).