One-loop effective potential in ${\cal N}={1/2}$ generic chiral   superfield model
  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. 
O.D. Azorkina, A.T. Banin, I.L. Buchbinder, N.G. Pletnev