Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-05-07
Phys.Part.Nucl.40:715-756,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
63 pages, 15 figures, in russian (first part of Doktor-Nauk thesis), published in Physics of Particles and Nuclei, typos corre
Scientific paper
10.1134/S1063779609050050
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. The original analytic approach to QCD, initiated by Jones, Solovtsov and Shirkov, is shortly summarized. We also shortly consider the basic aspects of FAPT and then concentrate on the accounting for the heavy-quark thresholds problem and the construction of global version of FAPT. We discuss what one should use as an analytic coupling in the timelike region q^2=s>0 for the e^{+}e^{-}-annihilation and the pion form factor, and consider applications to phenomenologically relevant processes (the factorizable part of the pion form factor and the Higgs boson decay into a b\bar{b} pair), as well as to the summation of perturbative series.
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