  {}From the literature one infers that the bulk of the order $\alpha_{s}$
corrections to the Drell-Yan cross sections $d\sigma/dm$ and
$m^{3}d^{2}\sigma/dmdx_{F}$ is constituted by the soft plus virtual gluon part
of the coefficient function. In the case of $d\sigma/dm$ it can be shown that
at fixed target energies the effect of the exact order $\alpha_{s}^{2}$
corrected coefficient function is very well approximated by its soft plus
virtual gluon part. Since the complete order $\alpha_{s}^{2}$ contribution to
the coefficient function is missing we have to assume that the same
approximation also holds for $m^{3}d^{2}\sigma/dmdx_{F}$. It appears that the
discrepancy between the exact order $\alpha_{s}$ corrected cross section and
the massive lepton pair data taken at fixed target experiments can be partially
explained by including the order $\alpha_{s}^{2}$ soft plus virtual gluon part
of the coefficient function.
