EMMI Workshop: Mining for gluon saturation at the LHC and the future EIC

We calculate the one-loop corrections to the quark TMD in both projectile and target light-cone gauges using the background field formalism, with the Mandelstam-Leibbrandt (ML) prescription for the extra singularity present in the light-cone gauge propagator. We use the pure rapidity regulator for rapidity divergences. The Collins-Soper-Sterman (CSS) evolution equations are obtained from the one loop renormalization of the quark TMD. We comment on the technical issues that arise when making connections between gluon saturation and TMD factorization.