Scale Setting Using the Extended Renormalization Group and the Principle of Maximum Conformality: the QCD Coupling Constant at Four Loops

  title={Scale Setting Using the Extended Renormalization Group and the Principle of Maximum Conformality: the QCD Coupling Constant at Four Loops},
  author={S. Brodsky and X. Wu},
A key problem in making precise perturbative QCD predictions is to set the proper renormalization scale of the running coupling. The extended renormalization group equations, which express the invariance of the physical observables under both the renormalization scaleand schemeparameter transformations, provide a convenient way for estimating the scaleand schemedependence of the physical process. In this paper, we present a solution for the scale-equation of the extended renormalization group… Expand

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