One-loop renormalisation of general N=1/2 supersymmetric gauge theory
  We investigate the one-loop renormalisability of a general N=1/2 supersymmetric gauge theory coupled to chiral matter, and show the existence of an N=1/2 supersymmetric SU(N)xU(1) theory which is renormalisable at one loop. 
I. Jack, D.R.T. Jones and L.A. Worthy