Optimal renormalization-group improvement of the perturbative series for the e+e- annihilation cross section -: art. no. 034017

被引:28
作者
Ahmady, MR [1 ]
Chishtie, FA
Elias, V
Fariborz, AH
McKeon, DGC
Sherry, TN
Squires, A
Steele, TG
机构
[1] Mt Allison Univ, Dept Phys, Sackville, NB E4L 1E6, Canada
[2] SUNY Coll Technol Utica Rome, Inst Technol, Dept Math Sci, Utica, NY 13504 USA
[3] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
[4] Cornell Univ, Newman Lab Nucl Studies, Ithaca, NY 14853 USA
[5] Perimeter Inst Theoret Phys, Waterloo, ON N2J 2W9, Canada
[6] Natl Univ Ireland Univ Coll Galway, Dept Math Phys, Galway, Ireland
[7] Univ Saskatchewan, Inst Phys & Engn Phys, Saskatoon, SK S7N 5E2, Canada
来源
PHYSICAL REVIEW D | 2003年 / 67卷 / 03期
关键词
D O I
10.1103/PhysRevD.67.034017
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Using renormalization-group methods, we derive differential equations for the all-orders summation of logarithmic corrections to the QCD series for R(s)=sigma(e(+)e(-)-->hadrons)/sigma(e(+)e(-)-->mu(+)mu(-)), as obtained from the imaginary part of the purely perturbative vector-current correlation function. We present explicit solutions for the summation of leading and up to three subsequent subleading orders of logarithms. The summations accessible from the four-loop vector correlator not only lead to a substantial reduction in sensitivity to the renormalization scale, but necessarily impose a common infrared bound on perturbative approximations to R(s), regardless of the infrared behavior of the true QCD couplant.
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页数:6
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