Two-loop Anomalous Dimensions of Heavy Baryon Currents in Heavy Quark Symmetry

Abstract

This talk presents details of the calculation of two-loop corrections to heavy baryon currents containing one heavy quark in leading order of the $1/m_Q$-expansion, i.e. in the limit of Heavy Quark Symmetry (HQS). The calculations lead to the determination of the anomalous dimension of these currents. I also discuss problems with different $γ_5$-schemes and their solution by the finite renormalization procedure.