Asymptotic Pade approximant predictions: Up to five loops in QCD and SQCD

被引:61
作者
Ellis, J [1 ]
Jack, I
Jones, DRT
Karliner, M
Samuel, MA
机构
[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland
[2] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
[3] Tel Aviv Univ, Sch Phys & Astron, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
[4] Oklahoma State Univ, Dept Phys, Stillwater, OK 74078 USA
[5] Stanford Univ, SLAC, Stanford, CA 94309 USA
来源
PHYSICAL REVIEW D | 1998年 / 57卷 / 05期
关键词
D O I
10.1103/PhysRevD.57.2665
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We use asymptotic Pade approximants to predict the four-and five-loop beta functions in QCD and N=1 supersymmetric QCD, as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how the accuracy of our previous beta-function predictions at the four-loop level may be further improved by using estimators weighted over negative numbers of flavors (WAPAP's). The accuracy of the improved four-loop results encourages confidence in the new five-loop beta-function predictions that we present. However, the WAPAP approach does not provide improved results for the anomalous mass dimension, or for Abelian theories.
引用
收藏
页码:2665 / 2675
页数:11
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