Resummation in (F)APT

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 ${\mathrm{\Lambda }}_{\text{QCD}}$ shifts.