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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
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.
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页码：353 / 367
页数：15
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