Optimal renormalization-group improvement of R(s) via the method of characteristics

被引：9

作者：

Elias, V

McKeon, DGC

Steele, TG

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2J 2W9, Canada

[2] Univ Western Ontario, Dept Math Appl, London, ON N6A 5B7, Canada

[3] Univ Saskatchewan, Dept Phys & Engn Phys, Saskatoon, SK S7N 5C6, Canada

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2003年 / 18卷 / 19期

基金：

加拿大自然科学与工程研究理事会;

关键词：

renormalization-group equation; resummations of perturbation theory; e(+)e(-)-annihilation cross-section;

D O I：

10.1142/S0217751X03015325

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We discuss the application of the method of characteristics to the renormalization-group equation for the perturbative QCD series within the electron-positron annihilation cross-section. We demonstrate how one such renormalization-group improvement of this series is equivalent to a closed-form summation of the first four towers of renormalization-group accessible logarithms to all orders of perturbation theory.

引用

页码：3417 / 3426

页数：10

共 44 条

[1] Optimal renormalization-group improvement of the perturbative series for the e+e- annihilation cross section -: art. no. 034017
Ahmady, MR
Chishtie, FA
Elias, V
Fariborz, AH
McKeon, DGC
Sherry, TN
Squires, A
Steele, TG
[J]. PHYSICAL REVIEW D, 2003, 67 (03):
[2] Closed-form summation of renormalization-group-accessible logarithmic contributions to semileptonic B decays and other perturbative processes -: art. no. 014010
Ahmady, MR
Chishtie, FA
Elias, V
Fariborz, AH
Fattahi, N
McKeon, DGC
Sherry, TN
Steele, TG
[J]. PHYSICAL REVIEW D, 2002, 66 (01): : 140101 - 1401025
[3] Renormalization-group improvement of effective actions beyond summation of leading logarithms
Ahmady, MR
Elias, V
McKeon, DGC
Squires, A
Steele, TG
[J]. NUCLEAR PHYSICS B, 2003, 655 (03) : 221 - 249
[4] IMPROVING THE EFFECTIVE POTENTIAL
BANDO, M
KUGO, T
MAEKAWA, N
NAKANO, H
[J]. PHYSICS LETTERS B, 1993, 301 (01) : 83 - 89
[5] BOGOLIUBOV NW, 1980, INTRO THEORY QUANTIZ, pCH9
[6] BROKEN SCALE INVARIANCE IN SCALAR FIELD THEORY
CALLAN, CG
[J]. PHYSICAL REVIEW D, 1970, 2 (08): : 1541 - &
[7] ASYMPTOTIC-BEHAVIOR OF NON-ABELIAN GAUGE THEORIES TO 2-LOOP ORDER
CASWELL, WE
[J]. PHYSICAL REVIEW LETTERS, 1974, 33 (04) : 244 - 246
[8] Corrections of order alpha(3)(s) to R(had) in pQCD with light gluinos
Chetyrkin, KG
[J]. PHYSICS LETTERS B, 1997, 391 (3-4) : 402 - 412
[9] Chung JM, 1999, PHYS REV D, V60, DOI 10.1103/PhysRevD.60.105001
[10] RADIATIVE-CORRECTIONS AS ORIGIN OF SPONTANEOUS SYMMETRY BREAKING
COLEMAN, S
WEINBERG, E
[J]. PHYSICAL REVIEW D, 1973, 7 (06): : 1888 - 1910

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