  We study the medium-induced gluon emission process experienced by a hard jet
parton propagating through the dense nuclear matter in the framework of deep
inelastic scattering off a large nucleus. We work beyond the collinear
rescattering expansion and the soft gluon emission limit, and derive a closed
formula for the medium-induced single gluon emission spectrum from a heavy or
light quark jet interacting with the dense nuclear medium via transverse and
longitudinal scatterings. Without performing the collinear rescattering
expansion, the medium-induced gluon emission spectrum is controlled by the full
distribution of the differential elastic scattering rates between the
propagating partons and the medium constituents. We further show that if one
utilizes heavy static scattering centers for the traversed nuclear matter and
takes the soft gluon emission limit, our result can reduce to the first order
in opacity Djordjevic-Gyulassy-Levai-Vitev formula.
