Resummation of Glauber phases in non-global LHC observables for large N c
Philipp Böer (PRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University, Staudingerweg 9, Mainz, 55128, Germany); Patrick Hager (PRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University, Staudingerweg 9, Mainz, 55128, Germany); Matthias Neubert (Department of Physics & LEPP, Cornell University, Ithaca, NY, 14853, USA, PRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University, Staudingerweg 9, Mainz, 55128, Germany); Michel Stillger (PRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University, Staudingerweg 9, Mainz, 55128, Germany); Xiaofeng Xu (PRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University, Staudingerweg 9, Mainz, 55128, Germany)
The Glauber series for non-global jet observables at hadron colliders simultaneously includes the super-leading logarithms alongside an arbitrary number of Glauber phases. Building on the formalism of [1], it is shown that the leading terms in this series for large N c can be resummed in closed form in renormalization-group improved perturbation theory. This remarkable observation suggests that large-N c methods might also be helpful to study other aspects of non-global logarithms at hadron colliders, and to combine our analytic results with amplitude-level parton showers.
