Analytical asymptotics for hard diffraction

Abstract

We show that the cross section for diffractive dissociation of a small onium off a large nucleus at total rapidity $Y$ and requiring a minimum rapidity gap $Y_{\text{gap}}$ can be identified, in a well-defined parametric limit, with a simple classical observable on the stochastic process representing the evolution of the state of the onium, as its rapidity increases, in the form of color dipole branchings: It formally coincides with twice the probability that an even number of these dipoles effectively participate in the scattering, when viewed in a frame in which the onium is evolved to the rapidity $Y-Y_{\text{gap}}$. Consequently, finding asymptotic solutions to the Kovchegov-Levin equation, which rules the $Y$-dependence of the diffractive cross section, boils down to solving a probabilistic problem. Such a formulation authorizes the derivation of a parameter-free analytical expression for the gap distribution. Interestingly enough, events in which many dipoles interact simultaneously play an important role, since the distribution of the number $k$ of dipoles participating in the interaction turns out to be proportional to $1/[k(k-1)]$.

arXiv comment20 pages, 2 figures

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Cited by in corpus (7)

• Multiplicity distribution of dipoles in QCD from Le, Mueller and Munier equation
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
• Rapidity gap distribution in diffractive dissociation: predictions for future electron-ion colliders
• Scattering from an external field in quantum chromodynamics at high energies: from foundations to interdisciplinary connections
• Dipole-dipole scattering amplitude in CGC approach
• Modified homotopy approach for diffractive production in the saturation region
• Statistical properties of partonic configurations and diffractive dissociation in high-energy electron-nucleus scattering