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arXiv · 0909.5544

Resummation in QCD Fractional Analytic Perturbation Theory

Alexander P. Bakulev
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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 $H^0\to b\bar{b}$. 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.

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Alexander P. Bakulev. 2009-10-05. Resummation in QCD Fractional Analytic Perturbation Theory. https://doi.org/10.1134/s106377961006016x

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