English

Resummation of non-global logarithms at finite $N_c$

High Energy Physics - Phenomenology 2013-07-15 v2

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.

Keywords

Cite

@article{arxiv.1304.6930,
  title  = {Resummation of non-global logarithms at finite $N_c$},
  author = {Yoshitaka Hatta and Takahiro Ueda},
  journal= {arXiv preprint arXiv:1304.6930},
  year   = {2013}
}

Comments

16 pages, 3 figures; v2 one reference added, accepted for publication in Nucl.Phys.B