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On the probability distribution of the stochastic saturation scale in QCD

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arxiv hep-ph/0606233 v2 pith:EAJEJHPC submitted 2006-06-21 hep-ph

On the probability distribution of the stochastic saturation scale in QCD

classification hep-ph
keywords probabilitysaturationcumulantsdistributionrecentlyscalescatteringstochastic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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