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We formulate a generic three-dimensional superfield higher-derivative gaugetheory coupled to the matter, which, in certain cases reduces to thethree-dimensional scalar super-QED, or supersymmetric Maxwell-Chern-Simons orChern-Simons theories with matter. For this theory, we explicitly calculate theone-loop effective potential.

On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory