Effective action in general chiral superfield model

TL;DR

This paper calculates one-loop and two-loop quantum corrections to the effective action in a general chiral superfield model, revealing finiteness of two-loop holomorphic potential despite non-renormalizability.

Contribution

It provides explicit two-loop calculations for arbitrary Kähler and superpotential functions in the superfield model, including the finiteness result.

Findings

Two-loop holomorphic potential contributions are always finite.

Explicit formulas for one-loop and two-loop effective potentials are derived.

The model's non-renormalizability does not affect the finiteness of certain two-loop corrections.

Abstract

The effective action in general chiral superfield model with arbitrary k\"{a}hlerian potential $K(\bar{\Phi},\Phi)$ and chiral (holomorphic) potential $W(\Phi)$ is considered. The one-loop and two-loop contributions to k\"{a}hlerian effective potential and two-loop (first non-zero) contribution to chiral effective potential are found for arbitrary form of functions $K(\bar{\Phi},\Phi)$ and $W(\Phi)$. It is found that despite the theory is non-renormalizable in general case two-loop contribution to holomorphic effective potential is always finite.