Resummation of Next-to-Leading Non-Global Logarithms
Thomas Becher (Bern)

In cross sections involving angular cuts, intricate patterns of enhanced higher-order corrections known as non-global logarithms arise. These corrections do not exponentiate and to resum them to all orders one has to resort to numerical techniques. The resummation of the leading non-global logarithms was achieved twenty years ago, but higher-logarithmic resummations remained elusive. In my talk, I will show how such resummation can be performed using renormalization group methods in effective field theory. I will demonstrate how the associated evolution equations can be implemented into a Monte-Carlo framework and will present first numerical results for higher-logarithmic resummations at both lepton and hadron colliders.