Resummation of non-global logarithms at finite Nc

Abstract

In the context of inter-jet energy flow, we present the first quantitative result of the resummation of non-global logarithms at finite Nc. This is achieved by refining Weigertʼs approach in which the problem is reduced to the simulation of associated Langevin dynamics in the space of Wilson lines. We find that, in e^+e^− annihilation, the exact result is rather close to the result previously obtained in the large-Nc mean field approximation. However, we observe enormous event-by-event fluctuations in the Langevin process which may have significant consequences in hadron collisions.