  Recently lots of efforts have been made to obtain the next to leading order
and Landau-Pomeranchuk-Migdal corrections to the thermal dilepton emission rate
in perturbative QCD. Here we apply these results to the plasma created in heavy
ion collisions and see wether these corrections improve the comparison between
theoretical calculations and experimental results for the invariant mass
dependence of the dilepton emission rate. In particular, we simulate the
quark-gluon plasma produced at RHIC and LHC using a 2+1-dimensional viscous
hydro model. We compare our results to STAR experiment and comment on the need
for a non-perturbative determination of the dilepton rate at low invariant
mass.
