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Scheme variations of the QCD coupling and tau decays
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abstract
The QCD coupling, $\alpha_s$, is not a physical observable since it depends on conventions related to the renormalization procedure. Here we discuss a redefinition of the coupling where changes of scheme are parametrised by a single parameter $C$. The new coupling is denoted $\hat \alpha_s$ and its running is scheme independent. Moreover, scheme variations become completely analogous to renormalization scale variations. We discuss how the coupling $\hat \alpha_s$ can be used in order to optimize predictions for the inclusive hadronic decays of the tau lepton. Preliminary investigations of the $C$-scheme in the presence of higher-order terms of the perturbative series are discussed here for the first time.
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Cited by 1 Pith paper
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Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings
The paper predicts the six-, seven-, and eight-loop Adler function coefficients in MS QCD as c5,1=287±40, c6,1=2948±208, c7,1=(1.89±0.75)×10^4 by reexpanding conformal-mapping accelerated Borel series.
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