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No-$\pi$ Theorem for Euclidean Massless Correlators

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arxiv 1808.00237 v1 pith:3AAQIVMN submitted 2018-08-01 hep-ph hep-th

P.A. Baikov , K.G. Chetyrkin This is my paper · ORCID
classification hep-phhep-th
keywords functionsloopcorrelatorseuclideanmasslessadvancesanomalousbeta
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abstract

We provide the reader with a (very) short review of recent advances in our understanding of the $\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions and $\beta$-functions. We extend the considerations of [1] by one more loop, that is for the case of 6-loop correlators and 7-loop renormalization group (RG) functions.

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Cited by 1 Pith paper

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  1. Transcendental structure of multiloop massless correlators and anomalous dimensions

    hep-ph 2019-08 conditional novelty 8.0 of 10

    A hatted representation of transcendental constants, fixed from four-loop integrals, predicts the pi-dependent terms in seven- and eight-loop beta functions and anomalous dimensions.

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