On the probability distribution of the stochastic saturation scale in QCD

Details On the probability distribution of the stochastic saturation scale in QCD On the probability distribution of the stochastic saturation scale in QCD

2006-06-21

arxiv.org/abs/hep-ph/0606233v2

Phys.Lett.B639:635-641,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 figures, misprints corrected, version to appear in PLB

Scientific paper

10.1016/j.physletb.2006.07.022

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.

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