Renormalization-scheme dependence of Padé summation in QCD
| Autor: | Mark A. Samuel, Marek Karliner, John Ellis, Einan Gardi |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Quantum chromodynamics
Physics Nuclear and High Energy Physics High Energy Physics::Phenomenology FOS: Physical sciences Effective nuclear charge Renormalization High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Scheme (mathematics) Quantum mechanics Padé approximant High Energy Physics::Experiment Sum rule in quantum mechanics Sensitivity (control systems) Perturbation theory Particle Physics - Phenomenology Mathematical physics |
| Zdroj: | Physical Review D. 54:6986-6996 |
| ISSN: | 1089-4918 0556-2821 |
| DOI: | 10.1103/physrevd.54.6986 |
| Popis: | We study the renormalization-scheme (RS) dependence of Pade Approximants (PA's), and compare them with the Principle of Minimal Sensitivity (PMS) and the Effective Charge (ECH) approaches. Although the formulae 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 Pade 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 $\alpha_s$ from the Bjorken sum rule, and use the available data at $Q^2=3 GeV^2$ to estimate $\alpha_s(M_Z) = 0.117^{+0.004}_{-0.007} \pm 0.002$, where the first error is experimental, and the second is theoretical. Comment: 12 pages (latex), including 6 embedded figures; uses epsfig.sty |
| Databáze: | OpenAIRE |
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