Higher-order QCD corrections to H -> b(b)over-bar from rational approximants

We use rational approximants to study missing higher orders in the massless scalar-current quark correlator. We predict the yet unknown six-loop coefficient of its imag inary part, related to Gamma(H -> b (b) over bar), to be c(5) = -6900 +/- 1400. With this result, the perturbative series becomes almost insensitive to renormalization scale variations and the intrinsic QCD truncation uncertainty is tiny. This confirms the expectation that higher-order loop computations for this quantity will not be required in the foreseeable future, as the uncer tainty in Gamma(H -> b (b) over bar) will remain largely dominated by the Standard Model parameters. (AU)