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