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Correlator of heavy-quark currents at small q 2 in the large-\(\beta_0\) limit

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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. The asymptotic behavior 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.

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Correspondence to A. G. Grozin.

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Received: 3 December 2004, Published online: 21 February 2005

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Grozin, A.G., Sturm, C. Correlator of heavy-quark currents at small q 2 in the large-\(\beta_0\) limit. Eur. Phys. J. C 40, 157–164 (2005). https://doi.org/10.1140/epjc/s2005-02124-2

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  • DOI: https://doi.org/10.1140/epjc/s2005-02124-2

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