CERN Accelerating science

Article
Report number arXiv:2008.12058 ; CERN-PBC-Notes-2021-011
Title Systematic error studies for the charged particle EDM measurement proposal
Author(s) Haj Tahar, M. (CERN) ; Carli, C. (CERN)
Publication 2021-03-25
Imprint 2020-08-27
Number of pages 15
In: Phys. Rev. Accel. Beams 24 (2021) 034003
DOI 10.1103/PhysRevAccelBeams.24.034003 (publication)
Subject category physics.acc-ph ; Accelerators and Storage Rings
Study Physics Beyond Colliders
Project Prototype EDM Storage Ring
Abstract Proposals aimed at measuring the Electric Dipole Moment (EDM) for charged particles require a good understanding of the systematic errors that can contribute to a vertical spin buildup mimicking the EDM signal to be detected. In what follows, a method of averaging emanating from the Bogoliubov-Krylov Mitropolski method is employed to solve the T-BMT equation and calculate the Berry phases arising for the storage ring frozen spin concept. The formalism employed proved to be particularly useful to determine the evolution of the spin at the observation point, i.e. at the location of the polarimeter. Several selected cases of lattice imperfections were simulated and benchmarked with the analytical estimates. This allowed the proof of the convergence of the numerical simulations and helped gain better understanding of the systematic errors.
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