Two-loop renormalization of massive (p,q) supersymmetric sigma models

We calculate the beta-functions of the general massive (p, q) supersymmetric sigma model to two-loop order using (1,0) superfields. The conditions for finiteness of the mass terms are discussed in relation to (p, q) supersymmetry. We also calculate the effective potential to one-loop order and consider the possibility of perturbative supersymmetry breaking in the massive theory. The effect of one-loop finite local counter terms and the ultraviolet behaviour of the off-shell (p, q) models to all orders in perturbation theory are also addressed.