1992/11/16 by H. Lu, Hung Jung Lu, Stanley J. Brodsky · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Hadron #Lambda #Mathematical physics #Observable #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #Renormalization group #hep-ph
paper · pdf · doi:10.1103/physrevd.48.3310
published as Phys.Rev.D48:3310-3318,1993 · Plain TEX, 4 figures (available upon request), 22 pages, DOE/ER/40322-178
arxiv created 1992/11/16 · openalex publication_date 1993/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss the St"uckelberg-Peterman extended renormalization group equations in perturbative QCD, which express the invariance of physical observables under renormalization-scale and scheme-parameter transformations. We introduce a universal coupling function that covers all possible choices of scale and scheme. Any perturbative series in QCD is shown to be equivalent to a particular point in this function. This function can be computed from a set of first-order differential equations involving the extended \ensuremathβ functions. We propose the use of these evolution equations instead of a perturbative series for numerical evaluation of physical observables. This formalism is free of scale-scheme ambiguity and allows a reliable error analysis of higher-order corrections. It also provides a precise definition for \ensuremathΛ_\stackrel-MS as the pole in the associated 't Hooft scheme. A concrete application to R(e+e^\ensuremath-\ensuremath→hadrons) is presented.