Renormalization-scheme dependence of Padé summation in QCD

John Ellis, Einan Gardi, Marek Karliner, Mark A. Samuel

Research output: Contribution to journalArticlepeer-review

Abstract

We study the renormalization-scheme (RS) dependence of Padé 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 Padé 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 αs from the Bjorken sum rule, and use the available data at Q2=3GeV2 to estimate αs(MZ)=0.117+0.004-0.007±0.002, where the first error is experimental and the second is theoretical.

Original languageEnglish
Pages (from-to)6986-6996
Number of pages11
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume54
Issue number11
DOIs
StatePublished - 1996

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