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外文期刊>The journal of high energy physics
>Two-loop renormalization of the Faddeev-Popov ghosts in $$ mathcal{N}=1 $$ supersymmetric gauge theories regularized by higher derivatives
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Two-loop renormalization of the Faddeev-Popov ghosts in $$ mathcal{N}=1 $$ supersymmetric gauge theories regularized by higher derivatives
A bstract For the general renormalizable N = 1 $$ mathcal{N}=1 $$ 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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