  We discuss the emission of high momentum lepton pairs in central Au+Au
collisions at RHIC ($\sqrt{s_{NN}}=$200 GeV) and Pb+Pb collisions at the LHC
($\sqrt{s_{NN}}=$5500 GeV). Yields of dileptons produced through interactions
of jets with thermal partons have been calculated, with next-to-leading order
corrections through hard thermal loops (HTL) resummation. They are compared to
thermal dilepton emission and the Drell-Yan process. A complete leading order
treatment of jet energy loss has been included. Jet-plasma interactions are
found to dominate over thermal dilepton emission for all values of the
invariant mass $M$. Drell-Yan is the dominant source of high momentum lepton
pairs for $M >$ 3 GeV at RHIC, after the background from heavy quark decays is
subtracted. At LHC, the range $M<7$ GeV is dominated by jet-plasma
interactions. Effects from jet energy loss on jet-plasma interactions turn out
to be weak, but non-negligible, reducing the yield of low-mass dileptons by
about 30%.
