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arXiv · 2001.03097

The three-loop Adler $D$-function for ${\cal N}=1$ SQCD with various renormalization prescriptions

S. S. Aleshin·A. L. Kataev·K. V. Stepanyantz
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Abstract

The three-loop Adler $D$-function for ${\cal N}=1$ SQCD in the $\overline{\mbox{DR}}$ scheme is calculated. It appears that the result does not satisfy NSVZ-like equation which relates the $D$-function to the anomalous dimension of the matter superfields. However this NSVZ-like equation can be restored by a special tuning of the renormalization scheme. Also we demonstrate that the $D$-function defined in terms of the bare coupling does not satisfy the NSVZ-like equation in the case of using the regularization by dimensional reduction. The scheme-dependence of the $D$-function written in the form of the $\beta$-expansion is briefly discussed.

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S. S. Aleshin, A. L. Kataev, K. V. Stepanyantz. 2020-01-09. The three-loop Adler $D$-function for ${\cal N}=1$ SQCD with various renormalization prescriptions. https://arxiv.org/abs/2001.03097

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