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arXiv · 1905.02222

On-shell renormalization scheme for ${\cal N}=1$ SQED and the NSVZ relation

A. L. Kataev·A. E. Kazantsev·K. V. Stepanyantz
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Abstract

In this paper we investigate the renormalization of ${\cal N}=1$ supersymmetric quantum electrodynamics, regularized by higher derivatives, in the on-shell scheme. It is demonstrated that in this scheme the exact Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) equation relating the $\beta$-function to the anomalous dimension of the matter superfields is valid in all orders of the perturbation theory. This implies that the on-shell scheme enters the recently constructed continuous set of NSVZ subtraction schemes. To verify this statement, we compare the anomalous dimension of the matter superfields in the two-loop approximation and the $\beta$-function in the three-loop approximation, which are explicitly calculated in this scheme. The finite renormalizations relating the on-shell scheme to some other NSVZ subtraction schemes formulated previously are obtained.

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A. L. Kataev, A. E. Kazantsev, K. V. Stepanyantz. 2019-05-06. On-shell renormalization scheme for ${\cal N}=1$ SQED and the NSVZ relation. https://doi.org/10.1140/epjc%2Fs10052-019-6993-z

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