Two-loop superfield effective potential for N=2, d=3 supersymmetric quantum electrodynamics with higher derivatives

In the N = 2, d = 3 superspace, we consider a higher-derivative generalization of the supersymmetric quantum electrodynamics, where the higher-derivative operator is a polynomial function of the d'Alembertian with arbitrary degree. For this theory, we use the background field quantization in a higher-derivative R & xi; gauge to explicitly calculate the superfield effective potential up to two loops in the Kahlerian approximation. This superfield effective potential is obtained in a closed form and in terms of elementary functions.