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@inproceedings{lamb:hb2023-wea2c2, author = {E.R. Lamb and F. Asvesta and H. Bartosik and G. Sterbini}, title = {{Measurement of Transverse Statistical Dependence for Non-Gaussian Beam Distributions via Resonances in the CERN PSB}}, % booktitle = {Proc. HB'23}, booktitle = {Proc. 68th Adv. Beam Dyn. Workshop High-Intensity High-Brightness Hadron Beams (HB'23)}, eventdate = {2023-10-09/2023-10-13}, pages = {231--235}, paper = {WEA2C2}, language = {english}, keywords = {resonance, space-charge, experiment, factory, luminosity}, venue = {Geneva, Switzerland}, series = {ICFA Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams}, number = {68}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {04}, year = {2024}, issn = {2673-5571}, isbn = {978-3-95450-253-0}, doi = {10.18429/JACoW-HB2023-WEA2C2}, url = {https://jacow.org/hb2023/papers/wea2c2.pdf}, abstract = {{This work addresses the origins and the effects of the statistical dependence in non-Gaussian beam distributions with the ultimate goal to identify the most representative case for tracking simulations across the CERN accelerator complex. Starting from the observation that non-Gaussian heavy-tailed transverse beam profiles can be reconstructed from 4D phase space distributions under two different conditions (statistical independence or dependence in the x-y plane), we consider space charge dominated beams interacting with the lattice nonlinear resonances to perform measurements to study the mechanisms that lead to non-Gaussian distributions. Finally, we explore the beam dynamics implications of the above hypotheses in terms of dependent loss processes across the transverse planes.}}, }