  The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains
the dimension-6 term F^3, is shown to be renormalizable to all orders in
perturbation theory, upon adding F and F^2 terms to the original Lagrangian.
The renormalizability is possible, even with this higher-dimension operator,
because the Lagrangian is not hermitian. Such deformed field theories arise
naturally in string theory with a graviphoton background.
