We implement the two-loop anomalous dimension governing the resummation of non-global logarithms into a large-Nc parton shower framework which solves the renormalization group equations used to evolve from the collision energy to the scale associated with soft emissions. Combined with the one-loop corrections to the hard and soft functions we obtain resummed predictions at next-to-leading logarithmic accuracy for gap-between jet cross sections at both lepton and hadron colliders.
Andrea Pelloni, Tanjona Rabemananjara, Tommaso Giani