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) 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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Baikov, P., Chetyrkin, K. Transcendental structure of multiloop massless correlators and anomalous dimensions. J. High Energ. Phys. 2019, 190 (2019). https://doi.org/10.1007/JHEP10(2019)190
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DOI: https://doi.org/10.1007/JHEP10(2019)190