Computer algebra calculations in supersymmetric electrodynamics

09/12/2022

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by   Ilya Shirokov, et al.

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We propose a new symbolic algorithm and a C++ program for generating and calculating supersymmetric Feynman diagrams for N=1 supersymmetric electrodynamics regularized by higher derivatives in four dimensions. According to standard rules, the program generates all diagrams that are necessary to calculate a specific contribution to the two-point Green function of matter superfields in the needed order, and then reduces the answer to the sum of Euclidean momentum integrals. At the moment, the program was used to calculate the anomalous dimension in N=1 supersymmetric quantum electrodynamics, regularized by higher derivatives, in the three-loop approximation.