On the probability distribution of the stochastic saturation scale in QCD

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dc.creatorMarquet, C.
dc.creatorSoyez, G.
dc.creatorXiao, Bo-Wen
dc.date2006-06-21
dc.date2006-07-21
dc.date.accessioned2026-07-07T10:41:47Z
dc.date.available2026-07-07T10:41:47Z
dc.descriptionIt 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.
dc.description9 pages, 3 figures, misprints corrected, version to appear in PLB
dc.identifierhttps://arxiv.org/abs/hep-ph/0606233
dc.identifierhttp://arxiv.org/abs/hep-ph/0606233
dc.identifierPhys.Lett.B639:635-641,2006
dc.identifierdoi:10.1016/j.physletb.2006.07.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181735
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOn the probability distribution of the stochastic saturation scale in QCD
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