Convergence and gauge dependence properties of the resummed one-loop quark-quark scattering amplitude in perturbative QCD |
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Authors: | J. H. Field |
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Affiliation: | (1) Département de Physique Nucléaire et Corpusculaire Université de Genève 24, quai Ernest-Ansermet, CH-1211 Genève 4, France |
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Abstract: | The one-loop QCD effective charge α 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 ξ = −3, α s eff is found to increase with increasing physical scale, Q, as lnQ or ln2 Q. For ξ = −3, α s eff decreases with increasing Q and satisfies a renormalization group equation. Also, except for the case ξ = 19/9, convergence radii of geometric series are found to impose upper limits on Q. The text was submitted by the author in English. |
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Keywords: | Quantum Chromodynamics Renormalization Group Invariance Asymptotic Freedom |
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