# Three-loop verification of a new algorithm for the calculation of a $\beta$-function in supersymmetric theories regularized by higher derivatives for the case of ${\cal N}=1$ SQED

18 Apr 2020 Aleshin S. S. Durandina I. S. Kolupaev D. S. Korneev D. S. Kuzmichev M. D. Meshcheriakov N. P. Novgorodtsev S. V. Petrov I. A. Shatalova V. V. Shirokov I. E. Shirokova V. Yu. Stepanyantz K. V.

We verify a recently proposed method for obtaining a $\beta$-function of ${\cal N}=1$ supersymmetric gauge theories regularized by higher derivatives by an explicit calculation. According to this method, a $\beta$-function can be found by calculating specially modified vacuum supergraphs instead of a much larger number of the two-point superdiagrams... (read more)

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• HIGH ENERGY PHYSICS - THEORY