6533b85bfe1ef96bd12bab1f

RESEARCH PRODUCT

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

Stefan GrooteO. I. YakovlevJ. G. Körner

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsComputer Science::Information RetrievalHigh Energy Physics::LatticeQuark modelHigh Energy Physics::PhenomenologyFOS: Physical sciencesVertex functionGamma matricesQuantum numberBaryonPseudoscalarHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics::ExperimentNuclear ExperimentPseudovector

description

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.

10.1103/physrevd.54.3447http://arxiv.org/abs/hep-ph/9604349