Renormalization-scheme dependence of Pade summation in QCD

被引：77

作者：

Ellis, J

Gardi, E

Karliner, M

Samuel, MA

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH PHYS & ASTRON,IL-69978 TEL AVIV,ISRAEL

[2] OKLAHOMA STATE UNIV,DEPT PHYS,STILLWATER,OK 74078

来源：

PHYSICAL REVIEW D | 1996年 / 54卷 / 11期

关键词：

D O I：

10.1103/PhysRevD.54.6986

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 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 Bjorkem 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 Q2 = 3 GeV2 to estimate alpha(s) (M(Z)) = 0.117(-0.007)(+0.004)+/-0.002, where the first error is experimental and the second is theoretical.

引用

页码：6986 / 6996

页数：11

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