1. Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks
- Author
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Alfred H. Mueller, S. Munier, Centre de Physique Théorique [Palaiseau] (CPHT), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Physique Théorique [Palaiseau] ( CPHT ), and École polytechnique ( X ) -Centre National de la Recherche Scientifique ( CNRS )
- Subjects
Diffraction ,diffraction ,General Physics and Astronomy ,FOS: Physical sciences ,Electron ,01 natural sciences ,law.invention ,random walk ,High Energy Physics - Phenomenology (hep-ph) ,law ,0103 physical sciences ,[ PHYS.PHYS.PHYS-GEN-PH ] Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] ,Invariant mass ,Statistical physics ,010306 general physics ,Collider ,dimension: 1 ,Condensed Matter - Statistical Mechanics ,Physics ,Statistical Mechanics (cond-mat.stat-mech) ,010308 nuclear & particles physics ,Scattering ,electron nucleus: scattering ,Observable ,electron nucleon: colliding beams ,Disordered Systems and Neural Networks (cond-mat.dis-nn) ,gluon ,Condensed Matter - Disordered Systems and Neural Networks ,Random walk ,mass dependence ,[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] ,Gluon ,Automatic Keywords ,High Energy Physics - Phenomenology ,electron nucleus: colliding beams ,[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,Elementary Particles and Fields ,[ PHYS.HPHE ] Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,statistical - Abstract
We point out an analogy between diffractive electron-nucleus scattering events, and realizations of one-dimensional branching random walks selected according to the height of the genealogical tree of the particles near their boundaries. This correspondence is made transparent in an event-by-event picture of diffraction emphasizing the statistical properties of gluon evolution, from which new quantitative predictions straightforwardly follow: we are able to determine the distribution of the total invariant mass produced diffractively, which is an interesting observable that can potentially be measured at a future electron-ion collider., 5 pages, 3 figures. v2: small additions, in particular a paragraph to discuss the link to DIS phenomenology; version to be published in Phys.Rev.Lett
- Published
- 2018
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