One-loop effective potential in ${\cal N}={1/2}$ generic chiral superfield model

TL;DR

This paper calculates one-loop quantum corrections to the Kählerian and superpotentials in a nonanticommutative superspace chiral superfield model, introducing a novel method that avoids star-product rewriting.

Contribution

It presents a new approach to compute quantum corrections in nonanticommutative superspace without rewriting star-products, revealing deformation effects in the chiral potential.

Findings

One-loop corrections in the Kählerian sector are similar to undeformed theories.

Quantum corrections in the chiral sector include a deformation parameter.

Method simplifies calculations by avoiding star-product rewriting.

Abstract

We obtain the one-loop quantum corrections to the K\"ahlerian and superpotentials in the generic chiral superfield model on the nonanticommutative superspace. Unlike all previous works, we use a method which does not require to rewrite a star-product of superfields in terms of ordinary products. In the K\"ahlerian potential sector the one-loop contributions are analogous to ones in the undeformed theory while in the chiral potential sector the quantum corrections contain a deformation parameter.