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Quantum electrodynamics (QED) fixed in the 't~Hooft-Veltman gauge isrenormalized to three loops in the MSbar scheme. The beta-functions andanomalous dimensions are computed as functions of the usual QED coupling andthe additional coupling, xi, which is introduced as part of the nonlinear gaugefixing condition. Similar to the maximal abelian gauge of quantumchromodynamics, the renormalization of the gauge parameter is singular.

Three loop MSbar renormalization of QED in the 't~Hooft-Veltman gauge