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arXiv · 1805.09417

Diffractive electron-nucleus scattering and ancestry in branching random walks

A. H. Mueller·S. Munier
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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.

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A. H. Mueller, S. Munier. 2018-05-23. Diffractive electron-nucleus scattering and ancestry in branching random walks. https://doi.org/10.1103/physrevlett.121.082001

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