Published Article


Resummation in QCD Fractional Analytic Perturbation Theory


Alexander P. Bakulev
Ukr. J. Phys.

Published in: Ukrainian Journal of Physics
Vol.: 50    Num./Issue: 1
Page No: 15-19
ISSN: 2071-0186
Year: Ukr. J. Phys. / 2010

Abstract: 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.


Language: rus

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