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Transcendental structure of multiloop massless correlators and anomalous dimensions

Baikov, P. A.; Chetyrkin, K. G.

Abstract (englisch):
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) ϕ4 theory obtained within the large Nf approach to the quantum field theory (see, e.g. [3]) are also in full agreement with our results.

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Verlagsausgabe §
DOI: 10.5445/IR/1000099769
Veröffentlicht am 11.11.2019
DOI: 10.1007/JHEP10(2019)190
Zitationen: 2
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2019
Sprache Englisch
Identifikator ISSN: 1029-8479, 1126-6708, 1127-2236
KITopen-ID: 1000099769
Erschienen in Journal of high energy physics
Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Band 2019
Heft 10
Seiten Article No.190
Bemerkung zur Veröffentlichung Gefördert durch SCOAP3
Vorab online veröffentlicht am 18.10.2019
Schlagwörter Perturbative QCD; Renormalization Group
Nachgewiesen in Scopus
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