Institute for Theoretical Particle Physics (TTP)

TTP04-23 Correlator of heavy-quark currents at small $q^2$ in the large-$\beta_0$ limit

TTP04-23 Correlator of heavy-quark currents at small $q^2$ in the large-$\beta_0$ limit

TTP04-23 Correlator of heavy-quark currents at small $q^2$ in the large-$\beta_0$ limit

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.

A.G. Grozin and C. Sturm
Eur. Phys. J. C40 157-164 2005
PDF PostScript arXiv
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