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arXiv · 1805.03686

Two-loop renormalization of the Faddeev--Popov ghosts in ${\cal N}=1$ supersymmetric gauge theories regularized by higher derivatives

A. E. Kazantsev·M. D. Kuzmichev·N. P. Meshcheriakov·S. V. Novgorodtsev·I. E. Shirokov·M. B. Skoptsov·K. V. Stepanyantz
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Abstract

For the general renormalizable ${\cal N}=1$ supersymmetric gauge theory we investigate renormalization of the Faddeev--Popov ghosts using the higher covariant derivative regularization. First, we find the two-loop anomalous dimension defined in terms of the bare coupling constant in the general $ξ$-gauge. It is demonstrated that for doing this calculation one should take into account that the quantum gauge superfield is renormalized in a nonlinear way. Next, we obtain the two-loop anomalous dimension of the Faddeev--Popov ghosts defined in terms of the renormalized coupling constant and examine its dependence on the subtraction scheme.

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A. E. Kazantsev, M. D. Kuzmichev, N. P. Meshcheriakov, S. V. Novgorodtsev, I. E. Shirokov, M. B. Skoptsov, K. V. Stepanyantz. 2018-05-09. Two-loop renormalization of the Faddeev--Popov ghosts in ${\cal N}=1$ supersymmetric gauge theories regularized by higher derivatives. https://doi.org/10.1007/jhep06(2018)020

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