Two Loop QCD Vertices and Three Loop MOM $\beta$ functions

Abstract

We present numerical results for the two loop QCD corrections to the ghost gluon vertex, the quark gluon vertex, and the triple gluon vertex in the massless limit at the symmetric point. We restrict ourselves to the tensor structures existing in the tree level. The corrections are used to examine different coupling constant definitions in momentum subtraction schemes and the corresponding three-loop $\beta$ functions.

LaTeX, 10 pages, corrected two references and some misprints

References in corpus (3)

• Asymptotic scaling of the gluon propagtor on the lattice
• Light Quark Masses from Lattice Quark Propagators at Large Momenta
• Power Corrections from Small Distances

Cited by in corpus (40)

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• The strong coupling and its running to four loops in a minimal MOM scheme
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• Nonperturbative structure of the quark-gluon vertex
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• A new method for determining the quark-gluon vertex
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• Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
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• Two loop QCD vertices at the symmetric point
• Are the Dressed Gluon and Ghost Propagators in the Landau Gauge presently determined in the confinement regime of QCD?
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations
• Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V
• Remarks on the determination of the Landau gauge OPE for the Asymmetric three gluon vertex
• Infrared Fixed Points in the minimal MOM Scheme
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• Two-Loop Tensor Integrals in Quantum Field Theory
• Banks-Zaks fixed point analysis in momentum subtraction schemes
• Off-shell two loop QCD vertices
• Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the $\beta$-factorization property?
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• Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme
• Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD
• Maximal abelian and Curci-Ferrari gauges in momentum subtraction at three loops
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• Representations of the Renormalization Group as Matrix Lie Algebra
• The Equal-Time Quark Propagator in Coulomb Gauge
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit
• A new method for computing the quark-gluon vertex