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arXiv · 1304.6930

Resummation of non-global logarithms at finite $N_c$

Yoshitaka Hatta·Takahiro Ueda
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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.

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Yoshitaka Hatta, Takahiro Ueda. 2013-06-29. Resummation of non-global logarithms at finite $N_c$. https://doi.org/10.1016/j.nuclphysb.2013.06.021

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