On the probability distribution of the stochastic saturation scale in QCD
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
It was recently noticed that high-energy scattering processes in QCD have a stochastic nature. An event-by-event scattering amplitude is characterised by a saturation scale which is a random variable. The statistical ensemble of saturation scales formed with all the events is distributed according to a probability law whose cumulants have been recently computed. In this work, we obtain the probability distribution from the cumulants. We prove that it can be considered as Gaussian over a large domain that we specify and our results are confirmed by numerical simulations.
Cite
@article{arxiv.hep-ph/0606233,
title = {On the probability distribution of the stochastic saturation scale in QCD},
author = {C. Marquet and G. Soyez and Bo-Wen Xiao},
journal= {arXiv preprint arXiv:hep-ph/0606233},
year = {2008}
}
Comments
9 pages, 3 figures, misprints corrected, version to appear in PLB