Numerical resummation at full color in the strongly ordered soft gluon limit

We present a Monte-Carlo approach to soft-gluon resummation at full color which can be used to improve existing parton shower algorithms. At the single emission level, soft-collinear enhancements of the splitting functions are explicitly linked to quadratic Casimir operators, while wide angle single-soft enhancements are connected to non-trivial color correlators. For simplicity, we neglect the contribution from Coulomb interactions. We provide a proof-of-concept implementation to compute non-global event shapes at lepton colliders.