1996/07/23 by John Ellis, Einan Gardi, Marek Karliner +1 · 2 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Charge (physics) #Mathematical physics #Mathematics #Padé approximant #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Renormalization #Sum rule in quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.54.6986
published as Phys.Rev.D54:6986-6996,1996 · 12 pages (latex), including 6 embedded figures; uses epsfig.sty
arxiv created 1996/07/23 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the renormalization-scheme (RS) dependence of Pad'e approximants (PA's), and compare them with the principle of minimal sensitivity (PMS) and the effective charge (ECH) approaches. Although the formulas provided by the PA, PMS, and ECH predictions for higher-order terms in a QCD perturbation expansion differ in general, their predictions can be very close numerically for a wide range of renormalization schemes. Using the Bjorken sum rule as a test case, we find that Pad'e summation (PS) reduces drastically the RS dependence of the Bjorken effective charge. We use these results to estimate the theoretical error due to the choice of RS in the extraction of \ensuremathαs from the Bjorken sum rule, and use the available data at Q2=3 GeV2 to estimate \ensuremathαs(MZ)=0.117_\ensuremath-0.007+0.004\ifmmode±\else\textpm\fi0.002, where the first error is experimental and the second is theoretical.