  We study the effect of the resummation of logarithms for t\bar{t} production
near threshold and inclusive electromagnetic decays of heavy quarkonium. This
analysis is complete at next-to-next-to-leading order and includes the full
resummation of logarithms at next-to-leading-logarithmic accuracy and some
partial contributions at next-to-next-to-leading logarithmic accuracy. Compared
with fixed-order computations at next-to-next-to-leading order the scale
dependence and convergence of the perturbative series is greatly improved for
both the position of the peak and the normalization of the total cross section.
Nevertheless, we identify a possible source of large scale dependence in the
result. At present we estimate the remaining theoretical uncertainty of the
normalization of the total cross section to be of the order of 10% and for the
position of the peak of the order of 100 MeV.
