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We give the generalization of Fractional Analytic Perturbation Theory (FAPT) for QCD observables, recently developed both for the Euclidean and Minkowski regions of squared momentum transfer q^2, which takes into account heavy-quark thresholds.
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Bakulev A. P. Fractional APT in QCD in the Euclidean and Minkowski regions // Proceedings of the Conference ‘‘New Trends in High-Energy Physics (experiment, phenomenology, theory)’’, Yalta, Crimea, Ukraine, Sept. 15–22, 2007 · 2007
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Stefanis N. G., Karanikas A. I. Analyticity of QCD observables beyond leading-order perturbation theory // Proceedings of the Memorial Solovtsov Seminar ‘‘Analytic Perturbation Theory’’, Dubna, Jan. 17–18, 2008 · 2008
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Preprint RMI-2003-55, 2003 [hep-ph/0305020]
Magradze B. A. Practical techniques of analytic perturbation theory of QCD // · 2003
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Bakulev A. P., Mikhailov S. V. Resummation in (F)APT // Proceedings of the Memorial Solovtsov Seminar ‘‘Analytic Perturbation Theory’’, Dubna, Jan. 17–18, 2008 · 2008
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