Abstract
In this work, we consider local and nonlocal higher-derivative generalizations of the super-Chern-Simons theory and four-dimensional SQED. In contrast to previous studies, the models studied here also have higher-derivative terms in the matter sector. For these models, we calculate the one-loop superfield effective potential.
Highlights
Higher-derivative theories have been introduced in an attempt to prevent singularities in a classical field theory [1], and to avoid ultraviolet divergences of a quantum field theory [2]
Higher-derivative theories have been studied within different contexts
The phenomenological implications of an extension of the minimal supersymmetric Standard Model with dimension-five and six operators were investigated in Ref. [3]
Summary
Higher-derivative theories have been introduced in an attempt to prevent singularities in a classical field theory [1], and to avoid ultraviolet divergences of a quantum field theory [2]. The aim of this paper is to formulate higher-derivative or nonlocal gauge-covariant terms in the matter sector and to calculate the superfield effective potential at the one-loop level for local and nonlocal higher-derivative generalizations of the super-Chern-Simons theory and supersymmetric QED (SQED) by taking into account these new terms in the matter sector. In this regard, our work is a further development of the studies presented in Refs. IV, we give a short summary of the results obtained and suggest a possible continuation of this study
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