Two loop QCD vertices at the symmetric point

Details Two loop QCD vertices at the symmetric point Two loop QCD vertices at the symmetric point

2011-08-24

arxiv.org/abs/1108.4806v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 latex pages, anc directory contains txt file with anomalous dimensions, beta-functions, coupling constant mappings, convers

Scientific paper

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.

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