Correlator of heavy-quark currents at small q^2 in the large-beta_0 limit

Abstract

The correlator of vector heavy-quark currents at small q^2 is considered in the large-beta_0 limit. The leading IR renormalon ambiguity of the sum of the perturbative series is canceled by the UV renormalon ambiguity of the gluon condensate. Asymptotic behaviour of the perturbative series is obtained in a model-independent way, up to a single unknown normalization factor. Gluon-virtuality distribution functions for the perturbative correction are calculated.

arXiv comment8 pages, 3 figures

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• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments I: Renormalon-Free Gluon Condensate Scheme
• The scalar gluonium correlator: large-beta_0 and beyond
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• Recent progress in computing four-loop massive correlators