A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD

Preprint number: CP3-Origins-2012-32 and DIAS-2012-33
Authors: Stanley J. Brodsky (SLAC National Accelerator Laboratory, Stanford University), Matin Mojaza (CP3-Origins & DIAS, SLAC National Accelerator Laboratory, Stanford University), and Xing-Gang Wu (Department of Physics, Chongqing University)
External link: arXiv.org

We introduce a generalization of the conventional renormalization schemes used in dimensional regularization, which illuminates the renormalization scheme and scale ambiguities of pQCD predictions, it exposes the general pattern of nonconformal {βi} 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.