  In a recent paper, we included two loop, relativistic one loop and second
order relativistic tree level corrections, plus leading nonperturbative
contributions, to obtain a calculation of the lower states in the heavy
quarkonium spectrum correct up to, and including, $O(\alpha_s^4)$ and leading
$\Lambdav^4/m^4$ terms. The results were obtained with, in particular, the
value of the two loop static coefficient due to Peter; this been recently
challenged by Schr\"oder. In our previous paper we used Peter's result; in the
present one we now give results with Schr\"oder's, as this is likely to be the
correct one. The variation is slight as the value of $b_1$ is only one among
the various $O(\alpha_s^4)$ contributions. With Schr\"oder's expression we now
have, $$m_b=5\,001^{+104}_{-66}\;\mev;\quad
\bar{m}_b(\bar{m}_b^2)=4\,440^{+43}_{-28}\;\mev,$$
$$m_c=1\,866^{+190}_{-154}\;\mev;\quad
\bar{m}_c(\bar{m}_c^2)=1\,531^{+132}_{-127}\;\mev.$$ Moreover,
$$\Gammav(\Upsilonv\rightarrow e^+e^-)=1.07\pm0.28\;\kev
\;(\hbox{exp.}=1.320\pm0.04\,\kev)$$ and the hyperfine splitting is predicted
to be $$M(\Upsilonv)-M(\eta)=47^{+15}_{-13}\;\mev.$$
