  We discuss the Drell-Yan production of dileptons at high energies in the
forward rapidity region of proton-proton collisions in a hybrid high-energy
approach. This approach uses unintegrated gluon distributions in one proton and
collinear quark/antiquark distributions in the second proton.
  We compute various distributions for the case of low-mass dilepton production
and compare to the LHCb and ATLAS experimental data on dilepton mass
distributions. In distinction to dipole approaches, we include four Drell-Yan
structure functions as well as cuts at the level of lepton kinematics. The
impact of the interference structure functions is rather small for typical
experimental cuts. We find that both side contributions ($g q/\bar q$ and
$q/\bar q g$) have to be included even for the LHCb rapidity coverage which is
in contradiction with what is usually done in the dipole approach. We present
results for different unintegrated gluon distributions from the literature.
Some of them include saturation effects, but we see no clear hints of
saturation even at small $M_{ll}$.
