Two-loop Anomalous Dimensions of Heavy Baryon Currents in Heavy Quark Effective Theory

Abstract

We present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=(q^TCΓτq)Γ'Q$ with arbitrary Dirac matrices $Γ$ and $Γ'$. From our general result we obtain the two-loop anomalous dimensions for currents with quantum numbers of the ground state heavy baryons $Λ_Q$, $Σ_Q$ and $Σ_Q^*$. As a by-product of our calculation and as an additional check we rederive the known two-loop anomalous dimensions of mesonic scalar, pseudoscalar, vector, axial vector and tensor currents $(J=\bar qΓq)$ in massless QCD as well as in HQET.