Two loop QCD vertices at the symmetric point

Abstract

We compute the triple gluon, quark-gluon and ghost-gluon vertices of QCD at the symmetric subtraction point at two loops in the MSbar scheme. In addition we renormalize each of the three vertices in their respective momentum subtraction schemes, MOMggg, MOMq and MOMh. The conversion functions of all the wave functions, coupling constant and gauge parameter renormalization constants of each of the schemes relative to MSbar are determined analytically. These are then used to derive the three loop anomalous dimensions of the gluon, quark, Faddeev-Popov ghost and gauge parameter as well as the beta-function in an arbitrary linear covariant gauge for each MOM scheme. There is good agreement of the latter with earlier Landau gauge numerical estimates of Chetyrkin and Seidensticker.

36 latex pages, anc directory contains txt file with anomalous dimensions, beta-functions, coupling constant mappings, conversion functions and amplitudes in analytic form

References in corpus (8)

• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Gauge invariant Ansatz for a special three-gluon vertex
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Three loop QCD MOM beta-functions

Cited by in corpus (28)

• Gluon propagator and three-gluon vertex with dynamical quarks
• Four-loop QCD propagators and vertices with one vanishing external momentum
• An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point
• On the Interface between Perturbative and Nonperturbative QCD
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Study of Scheme Transformations to Remove Higher-Loop Terms in the $\beta$ Function of a Gauge Theory
• Six dimensional QCD at two loops
• Infrared Fixed Points in the minimal MOM Scheme
• A covariant representation of the Ball-Chiu vertex
• Banks-Zaks fixed point analysis in momentum subtraction schemes
• Off-shell two loop QCD vertices
• Symmetric point quartic gluon vertex and momentum subtraction
• Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories
• Planar degeneracy of the three-gluon vertex
• QCD gluon vertices from the string-inspired formalism
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Momentum subtraction and the R-ratio
• Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point
• Power corrections to symmetric point vertices in Gribov-Zwanziger theory
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme
• MOM renormalization group functions in the maximal abelian gauge
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
• Maximal abelian and Curci-Ferrari gauges in momentum subtraction at three loops
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics