On the one-loop effective potential in the higher-derivative   four-dimensional chiral superfield theory with a nonconventional kinetic term
  We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In particular, we find that in the minimal case the divergent part of the one-loop effective potential vanishes by reason of the chirality. 
F. S. Gama, M. Gomes, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva
hep-th