Benchmarking of analytical estimates to study systematic errors for the charged particle electric dipole moment measurements

• Main Authors: M. Haj Tahar, C. Carli
• Format: Article
• Language: English
• Published: American Physical Society 2021-03-01
• Series: Physical Review Accelerators and Beams
• Online Access: http://doi.org/10.1103/PhysRevAccelBeams.24.034003

Proposals aimed at measuring the electric dipole moment (EDM) for charged particles in storage rings 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 Thomas-Bargmann-Michel-Telegdi 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.