Asymptotic Padé approximants validated on five-loop QCD data now yield six-loop QCD beta-function and quark-mass anomalous-dimension predictions plus eight-loop results in scalar theory.
The connection between the DRED and NSVZ renormalisation schemes
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abstract
We explore the relationship between the DRED and NSVZ schemes. Using certain exact results for the soft scalar mass $\beta$-function, we derive the transformation of $\alpha^{\DRED}$ to $\alpha^{\NSVZ}$ through terms of order $\alpha^4$. We thus incidentally determine $\beta_{\alpha}^{\DRED}$ through four loops, and we compare our result to a previous Pad\'e Approximant prediction.
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Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$
Asymptotic Padé approximants validated on five-loop QCD data now yield six-loop QCD beta-function and quark-mass anomalous-dimension predictions plus eight-loop results in scalar theory.