  We extend the calculation of radiative corrections to momentum broadening in
a QCD medium to include processes where single scattering dominates over
multiple soft scatterings. Our analysis focusses on processes that are enhanced
by a potentially large double logarithmic contribution. We demonstrate that
such double logarithmic contributions emerge in calculations of momentum
broadening in dilute systems where only single scattering occurs. We show how
the different regimes, multiple versus single scattering, constrain different
parts of the phase space.
