Systematic all-orders method to eliminate renormalization-scale and scheme ambiguities in perturbative QCD
Matin Mojaza, Stanley J. Brodsky, and Xing-Gang Wu
Accepted
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 { bi} 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. PACS numbers 12.38.Aw, 12.38.Bx, 11.10.Gh, 11.15.Bt