2006/06/30 by Cyrille Marquet, C. Marquet, Grégory Soyez +2 · 36 citations
Mathematics · Physics and Astronomy · #Amplitude #Combinatorics #Cumulant #Event (particle physics) #Gaussian #High-Energy Particle Collisions Research #Mathematics #Particle physics theoretical and experimental studies #Physics #Probability distribution #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Random variable #Saturation (graph theory) #Scattering #Statistical physics #Statistics #Stochastic process #hep-ph
paper · pdf · doi:10.1016/j.physletb.2006.07.022
published in Physics Letters B 639(6), 635-641 (Elsevier BV) · 9 pages, 3 figures, misprints corrected, version to appear in PLB
arxiv created 2006/07/21 · openalex publication_date 2006/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.