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

Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.

We extend the O(α$\substack{5\\s}$) 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 fourloop 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.

Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Jahr 2017
Sprache Englisch
Identifikator DOI: 10.1007/JHEP04(2017)119
ISSN: 1029-8479, 1126-6708
URN: urn:nbn:de:swb:90-695695
KITopen ID: 1000069569
Erschienen in Journal of high energy physics
Band 119
Seiten Art. Nr. JHEP04
Lizenz CC BY 4.0: Creative Commons Namensnennung 4.0 International
Schlagworte Perturbative QCD, Renormalization Group
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