Loading [MathJax]/extensions/Safe.js
SciPost logo

Scattering from an external field in quantum chromodynamics at high energies: From foundations to interdisciplinary connections

Athanasia-Konstantina Angelopoulou, Anh Dung Le, Stéphane Munier

SciPost Phys. Lect. Notes 92 (2025) · published 12 March 2025

Abstract

We review the factorization of the $S$-matrix elements in the context of particle scattering off an external field, which can serve as a model for the field of a large nucleus. The factorization takes the form of a convolution of light cone wave functions describing the physical incoming and outgoing states in terms of bare partons, and products of Wilson lines. The latter represent the interaction between the bare partons and the external field. Specializing to elastic scattering amplitudes of onia at very high energies, we introduce the color dipole model, which formulates the calculation of the modulus-squared of the wave functions in quantum chromodynamics with the help of a branching random walk, and the scattering amplitudes as observables on this classical stochastic process. Methods developed for general branching processes produce analytical formulas for the asymptotics of such observables, and thus enable one to derive exact large-rapidity expressions for onium-nucleus cross sections, from which electron-nucleus cross sections may be inferred.


Ontology / Topics

See full Ontology or Topics database.

Quantum chromodynamics (QCD) perturbation theory

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.
Funders for the research work leading to this publication