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
- doi: 10.21468/SciPostPhysLectNotes.92
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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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Athanasia-Konstantina Angelopoulou,
- 2 3 Anh Dung Le,
- 4 5 6 7 Stéphane Munier
- 1 Coláiste na Tríonóide Baile Átha Cliath / Trinity College Dublin [TCD]
- 2 Jyväskylän yliopisto / University of Jyväskylä
- 3 Helsinki Institute of Physics
- 4 Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- 5 École Polytechnique
- 6 Centre de Physique Théorique / Center of Theoretical Physics [CPHT]
- 7 Institut Polytechnique de Paris / Institut Polytechnique de Paris