  We present phenomenological results for the inclusive cross section for the
production of a lepton-pair via virtual photon exchange at
next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. In line
with the case of Higgs production, we find that the hadronic cross section
receives corrections at the percent level, and the residual dependence on the
perturbative scales is reduced. However, unlike in the Higgs case, we observe
that the uncertainty band derived from scale variation is no longer contained
in the band of the previous order.
