  We revisit the transverse momentum broadening of a fast parton pair crossing
a nuclear medium, putting emphasis on the pair global color state, for any
number of colors $N$ and within the eikonal limit for parton propagation and
the Gaussian approximation for the gluon field of the target. This study should
provide the necessary tools to address nuclear broadening of $n$-parton systems
in phenomenology while highlighting the color structure of the process.
