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Article
Open AccessAddendum to: The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order \( O\left({\alpha}_s^4\right) \)
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Article
Open AccessThe {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( \( {\alpha}_s^4 \) )
We derive explicit expressions for the elements of the {β}-expansion for the nonsinglet Adler DA-function and Bjorken polarized sum rules SBjp in the N4LO using recent results by Chetyrkin for these quantities co...
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Article
Open AccessTranscendental structure of multiloop massless correlators and anomalous dimensions
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 ...
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Article
Open AccessThe structure of generic anomalous dimensions and no-π theorem for massless propagators
Extending an argument of [1] for the case of 5-loop massless propagators we prove a host of new exact model-independent relations between contributions proportional to odd and even zetas in generic ...
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Article
Open AccessFive-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
We extend the O
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Article
Open AccessQuark mass and field anomalous dimensions to \( \mathcal{O}\left({\alpha}_s^5\right) \)
We present the results of the first complete analytic calculation of the quark mass and field anomalous dimensions to ...
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Chapter and Conference Paper
Parallel Computer Algebra and Feynman Integrals
Relativistic quantum field theories are the mathematical tools which are indispensable in modern particle physics. In particular in combination with perturbation theory, realized with the help of so-called Fey...
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Article
Vector correlator in massless QCD at order \( \mathcal{O}\left( {\alpha_s^4} \right) \) and the QED β-function at five loop
We present a concise summary of recent results for the vector correlator in massless QCD at order $ \mathcal{O}\left( {\alpha_s^4} \ri...
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Article
QCD corrections to hadronic Z and \(\bf{\tau}\) decays
We present a brief (mainly bibliographical) report on recently performed calculations of terms of order $\mathcal{O}(\alpha_s^4 n_f^2)...
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Article
Status of γ5 in dimensional regularization