  We compute dilepton production from the deconfined phase of the quark-gluon
plasma using leading-order (3+1)-dimensional anisotropic hydrodynamics. The
anisotropic hydrodynamics equa- tions employed describe the full spatiotemporal
evolution of the transverse temperature, spheroidal momentum-space anisotropy
parameter, and the associated three-dimensional collective flow of the matter.
The momentum-space anisotropy is also taken into account in the computation of
the dilepton production rate, allowing for a self-consistent description of
dilepton production from the quark-gluon plasma. For our final results, we
present predictions for high-energy dilepton yields as a function of invariant
mass, transverse momentum, and pair rapidity. We demonstrate that high- energy
dilepton production is extremely sensitive to the assumed level of initial
momentum-space anisotropy of the quark-gluon plasma. As a result, it may be
possible to experimentally constrain the early-time momentum-space anisotropy
of the quark-gluon plasma generated in relativistic heavy ion collisions using
high-energy dilepton yields.
