Resummation in (F)APT

Details Resummation in (F)APT Resummation in (F)APT

2008-03-20

arxiv.org/abs/0803.3013v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Written version of the talk given at the Memorial Igor Solovtsov Seminar, held on January 17--18, 2008, at the Bogoliubov Labo

Scientific paper

We present new results on the summation of nonpower-series expansions in QCD Analytic Perturbation Theory (APT) in the one-loop approximation. We show how to generalize the approach suggested by one of us earlier to the cases of APT and Fractional APT (FAPT) with heavy-quark thresholds. Using this approach we analyze the Higgs boson decay $H^0\to\bar{b}b$. We produce estimations of the higher-order corrections importance in (F)APT and present a very transparent interpretation of the resummation results in terms of $\Lambda_\text{QCD}$ shifts.

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