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The dilepton invariant mass spectrum measured in heavy-ion collisionsincludes contributions from important QGP probes such as thermal radiation andthe quarkonium ($J/\psi$, $\psi'$ and $\Upsilon$) states. Dileptons coming fromhard $q \bar q$ scattering, the Drell-Yan process, contribute in all massregions. In heavy-ion colliders, such as the LHC, semileptonic decays of heavyflavor hadrons provide a substantial contribution to the dilepton continuum.The dilepton continuum can give quantitative information about heavy quarkyields and their modification in the medium and thus it is important to knowall different sources which populate the continuum.  In the present study, we calculate $c \bar c$ and $b \bar b$ production anddetermine their contributions to the dilepton continuum in Pb+Pb collisions at$\sqrt{s_{_{NN}}} = 2.76$ TeV with and without including heavy quark energyloss. We also calculate the rates for Drell-Yan and thermal dileptonproduction. The contributions to the continuum from these dilepton sources arestudied in the kinematic ranges relevant for the LHC detectors. The relativelyhigh $p_T$ cutoff for single leptons excludes most dileptons produced by thethermal medium. Heavy flavors are the dominant source of dilepton production inall the kinematic regimes except at forward rapidities where Drell-Yan startdominating in high mass range beyond 10 GeV/$c^2$.

Components of the dilepton continuum in Pb+Pb collisions at $\sqrt{s_{_{NN}}} = 2.76 $ TeV