Convergence and gauge dependence properties of the resummed one-loop quark-quark scattering amplitude in perturbative QCD

被引：2

作者：

Field, J. H. ^{[1
]}

机构：

[1] Univ Geneva, Dept Phys Nucl & Corpusculaire, CH-1211 Geneva, Switzerland

来源：

PHYSICS OF PARTICLES AND NUCLEI | 2009年 / 40卷 / 03期

关键词：

QUANTUM CHROMODYNAMICS; RADIATIVE-CORRECTIONS; MASS SINGULARITIES; RENORMALIZATION-GROUP; ULTRAVIOLET BEHAVIOR; 4-FERMION PROCESSES; COUPLING-CONSTANT; EFFECTIVE CHARGES; PINCH TECHNIQUE; STANDARD MODEL;

D O I：

10.1134/S1063779609030046

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The one-loop QCD effective charge alpha (s) (eff) for quark-quark scattering is derived by diagrammatic resummation of the one-loop amplitude using an arbitrary covariant gauge. Except for the particular choice of gauge parameter xi = -3, alpha(s) (eff) is found to increase with increasing physical scale, Q, as lnQ or ln(2) Q. For xi = -3, alpha (s) (eff) decreases with increasing Q and satisfies a renormalization group equation. Also, except for the case xi = 19/9, convergence radii of geometric series are found to impose upper limits on Q.

引用

页码：353 / 367

页数：15

共 29 条

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