$\beta$-functions in large-$N_f$ supersymmetric gauge theories

We present calculations of the leading and $O(1\mathrm{/}{N}_f)$ terms in a large-$N_f$ expansion of the $\beta$-functions and anomalous dimensions for various supersymmetric gauge theories, including supersymmetric QCD. In the case of supersymmetric QCD, we show that our $O(1\mathrm{/}{N}_f)$ approximation displays an infra-red fixed point in the conformal window $3N_c\mathrm{/}2<N_f<3N_c$.