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.
Highlights
The quest to challenge the standard model of particle physics is on-going with a very diverse set of experimental investigations aimed at finding new physics
Due to the, so far, negative results of searches for new particles with the Large Hadron Collider, potential projects not relying on high energy frontier colliders and, among them charged particle electric dipole moment (EDM) measurements studied for a long time by an international community [1,2,3,4,5], are gaining interest
The recently launched physics beyond colliders (PBC) study, aimed at identifying future projects not relying on colliders, considers an EDM measurement as an interesting option for particle physics and, contributes to the international effort
Summary
The quest to challenge the standard model of particle physics is on-going with a very diverse set of experimental investigations aimed at finding new physics. The on-going research of the Julich Electric Dipole Moment Investigations (JEDI) collaboration at the cooler synchrotron COSY is aiming for the first direct deuteron EDM measurement in a magnetic ring by employing the so-called “partially frozen spin” technique [16]. To circumvent such a difficulty of attaining high precision direct measurements for charged particles, the method of “magic energy” concept has been successfully applied to measure the anomalous magnetic dipole moment. The analytical expressions will be benchmarked with tracking simulations of an EDM ring with selected imperfections
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