Beam-Based Diagnostics of Electric Guide Fields and Lattice Parameters for Run-1 of the Muon g-2 Storage Ring at Fermilab

TL;DR

This paper presents a novel method to reconstruct the time-dependent electric guide fields in the Muon g-2 Storage Ring using beam profile data and numerical modeling, aiding in accurate beam tracking and systematic error analysis.

Contribution

A new reconstruction technique for electric guide fields in the Muon g-2 ring using COSY INFINITY and beam data, improving lattice parameter determination.

Findings

Successful reconstruction of time-dependent electric fields.

Enhanced accuracy in beam tracking simulations.

Improved evaluation of systematic uncertainties.

Abstract

A portion of the Muon g-2 Storage Ring electric system, which provides vertical beam focusing, exhibited an unexpected time dependence that produced a characteristic evolution of the stored beam during Run-1 of the Muon g-2 Experiment at Fermilab (E989). A method to reconstruct the Run-1 electric guide fields has been developed, which is based on a numerical model of the muon storage ring and optimization algorithms supported by COSY INFINITY. This method takes beam profile measurements from the Muon g-2 straw tracking detectors as input, and it produces a full reconstruction of the time-dependent fields. The fields can then be used for the reproduction of detailed beam tracking simulations and the calculation of ring lattice parameters for acceptance studies and systematic error evaluations.