  We show that perturbation theory may give reasonable numbers for the decays
of the bottomonium and charmonium ground states to $e^+e^-$ and to
$\gamma\gamma$. To reach this conclusion it is important to perform the
resummation of logs. In particular, we obtain the value $\Gamma(\eta_b (1S) \to
\gamma\gamma)=0.35 \pm 0.1 ({\rm th.}) \pm 0.05 (\lQ)$ KeV.
