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

Autor: P.A. Baikov, K.G. Chetyrkin, J.H. Kühn
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-15 (2017)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2017)119
Popis: Abstract We extend the O α s 5 $$ \mathcal{O}\left({\alpha}_s^5\right) $$ 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.
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