Journal of High Energy Physics

, 2017:119

Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

Open Access
Regular Article - Theoretical Physics


We extend the \( \mathcal{O}\left({\alpha}_s^5\right) \) result of the analytic calculation of the quark mass anomalous dimension in pQCD [1] to the case of a generic gauge group. We present explicit formulas which express the relevant renormalization constants in terms of four-loop massless propagators. We also use our result to shed new light on the old puzzle of the absence of even zetas in results of perturbative calculations for a class of physical observables.


Perturbative QCD Renormalization Group 

Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Skobeltsyn Institute of Nuclear PhysicsLomonosov Moscow State UniversityMoscowRussian Federation
  2. 2.Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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