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@inproceedings{kaltchev:ipac2021-wepab280,
author = {D. Kaltchev},
title = {{Two-Dimensional Beam-Beam Invariant with Applications to HL-LHC}},
booktitle = {Proc. IPAC'21},
pages = {3301--3304},
eid = {WEPAB280},
language = {english},
keywords = {optics, resonance, closed-orbit, lattice, luminosity},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-WEPAB280},
url = {https://jacow.org/ipac2021/papers/wepab280.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-WEPAB280},
abstract = {{Long-range beam-beam interactions represent the most severe limitation on the performance and achievable luminosity of circular collider. The paper presents a two-dimensional nonlinear Courant Snyder Invariant derived to first order in the beam-beam perturbation and based on the two-dimensional coefficients in the Fourier expansion of the Beam-beam Hamiltonian. Its validity in case of HL-LHC lattices with realistic beam-beam setup is verified with MadX tracking.}},
}