Alexander P. Bakulev
Resummation in QCD Fractional Analytic Perturbation Theory
Ukrainian Journal of Physics
2071-0186
15-19
50
We describe the generalization of Analytic Perturbation Theory (APT) for QCD observables, initiated by Radyushkin, Krasnikov, Pivovarov, Shirkov and Solovtsov, to fractional powers of coupling -- Fractional APT (FAPT). The basic aspects of FAPT is shortly summarized. We describe how to treat heavy-quark thresholds in FAPT and then show how to resum perturbative series in both the one-loop APT and FAPT. As an application we consider FAPT description of the Higgs boson decay $H^0-- > b\overline{b}$. The main conclusion is: To achieve an accuracy of the order of 1% it is enough to take into account up to the third correction.
rus
Ukr. J. Phys.
2010