On the probability distribution of the stochastic saturation scale in QCD

C. Marquet; G. Soyez; Bo-Wen Xiao

doi:10.1016/j.physletb.2006.07.022

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arXiv · hep-ph/0606233

On the probability distribution of the stochastic saturation scale in QCD

C. Marquet·G. Soyez·Bo-Wen Xiao

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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.

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C. Marquet, G. Soyez, Bo-Wen Xiao. 2006-07-21. On the probability distribution of the stochastic saturation scale in QCD. https://doi.org/10.1016/j.physletb.2006.07.022

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