Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD
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abstract
We introduce a generalization of the conventional renormalization schemes used in dimensional regularization, which illuminates the renormalization scheme and scale ambiguities of pQCD predictions, exposes the general pattern of nonconformal {\beta_i}-terms, and reveals a special degeneracy of the terms in the perturbative coefficients. It allows us to systematically determine the argument of the running coupling order by order in pQCD in a form which can be readily automatized. The new method satisfies all of the principles of the renormalization group and eliminates an unnecessary source of systematic error.
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An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.
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Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results
Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
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Renormalisation
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.