Resummation of non-global logarithms at finite $N_c$

TL;DR

This paper presents the first quantitative resummation of non-global logarithms at finite N_c in inter-jet energy flow, refining Langevin dynamics simulation of Wilson lines, revealing close results to large-N_c approximation and significant fluctuations.

Contribution

It introduces a refined approach to resumming non-global logarithms at finite N_c using Langevin dynamics of Wilson lines, advancing beyond previous large-N_c approximations.

Findings

Exact results are close to large-N_c mean field approximation.

Significant event-by-event fluctuations observed in Langevin simulations.

Potential implications for hadron collision phenomenology.

Abstract

In the context of inter-jet energy flow, we present the first quantitative result of the resummation of non-global logarithms at finite N_c. This is achieved by refining Weigert's 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-N_c mean field approximation. However, we observe enormous event-by-event fluctuations in the Langevin process which may have significant consequences in hadron collisions.