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

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

1996-04-17

arxiv.org/abs/hep-ph/9604349v1

Phys.Rev. D54 (1996) 3447-3456

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, LaTeX, 2 figures are included in PostScript format

Scientific paper

10.1103/PhysRevD.54.3447

We present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=(q^TC\Gamma\tau q)\Gamma'Q$ with arbitrary Dirac matrices $\Gamma$ and $\Gamma'$. 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 $(J=\bar q\Gamma q)$ in massless QCD as well as in HQET.

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