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Scheme variations of the QCD coupling and hadronic $\tau$ decays · Around

2016

Scheme variations of the QCD coupling and hadronic $\tau$ decays

Boito, Diogo, Jamin, Matthias, Miravitllas, Ramon

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The Quantum Chromodynamics (QCD) coupling, $\alpha_s$, is not a physical observable of the theory since it depends on conventions related to the renormalization procedure.

We introduce a definition of the QCD coupling, denoted by $\hat\alpha_s$, whose running is explicitly renormalization scheme invariant.
The scheme dependence of the new coupling $\hat\alpha_s$ is parameterized by a single parameter $C$, related to transformations of the QCD scale $\Lambda$.
It is demonstrated that appropriate choices of $C$ can lead to substantial improvements in the perturbative prediction of physical observables.

Built on

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Then

M. Beneke and M. Jamin, JHEP 09
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2008
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S. J. Brodsky and X.-G. Wu, Phys. Rev. Lett. 109
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P. A. Baikov, K. G. Chetyrkin, and J. H. Kühn, (2016), arXiv:1606.08659 [hep-ph]
Original
2016
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