Transcendental structure of multiloop massless correlators and anomalous dimensions

Autor: P.A. Baikov, K.G. Chetyrkin
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 10, Pp 1-18 (2019)
Druh dokumentu: article
ISSN: 1029-8479
91078059
DOI: 10.1007/JHEP10(2019)190
Popis: Abstract We give a short account of recent advances in our understanding of the π- dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions (ADs) and β-functions. We extend the considerations of [1] by two more loops, that is for the case of 6- and 7-loop correlators and 7- and 8-loop renormalization group (RG) functions. Our predictions for the (π-dependent terms) of the 7-loop RG functions for the case of the O(n) 𝜙4 theory are in full agreement with the recent results from [2]. All available 7- and 8-loop results for QCD and the scalar O(n) ϕ 4 theory obtained within the large N f approach to the quantum field theory (see, e.g. [3]) are also in full agreement with our results.
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