Two-loop anomalous dimensions of heavy baryon currents in heavy quark effective theory

We present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=\left(q^{T}C\Gamma \tau q\right){\Gamma }^{\prime }Q$ with arbitrary Dirac matrices $\Gamma$ and ${\Gamma }^{\prime }$. From our general result we obtain the two-loop anomalous dimensions for currents with quantum numbers of the ground state heavy baryons ${\Lambda }_Q$, ${\Sigma }_Q$, and ${\Sigma }_Q^{*}$. 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 ($J=\overline{q}\Gamma q$) in massless QCD as well as in HQET.