Rapidity gap distribution in diffractive deep-inelastic scattering and parton genealogy

Abstract

We propose a partonic picture for high-mass diffractive dissociation events in onium-nucleus scattering, which leads to simple and robust predictions for the distribution of the sizes of gaps in diffractive dissociation of virtual photons off nuclei at very high energies. We show that the obtained probability distribution can formally be identified to the distribution of the decay time of the most recent common ancestor of a set of objects generated near the edge of a branching random walk, and explain the physical origin of this appealing correspondence. We then use the fact that the diffractive cross section conditioned to a minimum rapidity gap size obeys a set of Balitsky-Kovchegov equations in order to test numerically our analytical predictions. Furthermore, we show how simulations in the framework of a Monte Carlo implementation of the QCD evolution support our picture.

arXiv comment20 pages

References in corpus (35)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Geometric scaling for the total gamma^* p cross section in the low x region
• The Energy Dependence of the Saturation Momentum
• Geometric scaling as traveling waves
• Proof of Factorization for Diffractive Hard Scattering
• Traveling wave fronts and the transition to saturation
• First Measurement of the Deep--Inelastic Structure of Proton Diffraction
• Eikonal Evolution and Gluon Radiation
• Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
• Measurement of the diffractive structure function in deep inelastic scattering at HERA
• A PARTON MODEL FOR DIFFRACTIVE PROCESSES IN DEEP INELASTIC SCATTERING
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Quark-Antiquark Jets in DIS Diffractive Dissociation
• Quark-Antiquark Production in DIS Diffractive Dissociation
• The high energy asymptotics of scattering processes in QCD
• Non-linear evolution and high energy diffractive production
• Diffractive photon dissociation in the saturation regime from the Good and Walker picture
• Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS
• Extension of the Color Glass Condensate Approach to Diffractive Reactions
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• Phenomenological picture of fluctuations in branching random walks
• Hard Diffraction in the QCD Dipole Picture
• OEDIPUS: Onium Evolution, Dipole Interaction and Perturbative Unitarisation Simulation
• Hard Diffraction From Quasi-Elastic Dipole Scattering
• Advances in diffraction of subnuclear waves
• Shadowing Corrections and Diffractive Production in DIS on Nuclei
• On parton number fluctuations at various stages of the rapidity evolution
• On the genealogy of branching random walks and of directed polymers
• Lecture notes on "Quantum chromodynamics and statistical physics"
• Aspects of the Unitarized Soft Multipomeron Approach in DIS and Diffraction
• Distribution of the number of particles in the final state of hadron-nucleus collisions

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• Nuclear scattering configurations of onia in different frames
• Scattering from an external field in quantum chromodynamics at high energies: from foundations to interdisciplinary connections
• Modified homotopy approach for diffractive production in the saturation region
• Statistical properties of partonic configurations and diffractive dissociation in high-energy electron-nucleus scattering