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

Abstract

Abstract 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.

Keywords

• Renormalization Regularization and Renormalons
• Supersymmetric Gauge Theory