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Two loop QCD vertices at the symmetric point

J. A. Gracey

  • Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, United Kingdom

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Phys. Rev. D 84, 085011 – Published 12 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.085011

Abstract

We compute the triple gluon, quark-gluon and ghost-gluon vertices of QCD at the symmetric subtraction point at two loops in the MS¯ 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 MS¯ 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 β 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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Phys. Rev. D 84, 085011– Published 12 October, 2011
  • Received 10 June 2011

© 2011 American Physical Society

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