# Reduction of coherent betatron oscillations in a muon g-2 storage ring experiment using RF fields

## TL;DR

This paper demonstrates that applying RF electric fields in a muon g-2 storage ring significantly reduces coherent betatron oscillations and muon losses, thereby enhancing the experiment's sensitivity to the muon magnetic anomaly.

## Contribution

The study introduces a method using RF electric fields to effectively suppress CBO and muon losses in muon g-2 experiments, improving measurement precision.

## Key findings

- Over an order of magnitude reduction in CBO achieved
- Muon losses comparable to conventional methods
- Enhanced sensitivity in muon g-2 measurements

## Abstract

This work demonstrates that two systematic errors, coherent betatron oscillations (CBO) and muon losses can be reduced through application of radio frequency (RF) electric fields, which ultimately increases the sensitivity of the muon $g-2$ experiments. As the ensemble of polarized muons goes around a weak focusing storage ring, their spin precesses, and when they decay through the weak interaction, $\mu^+ \rightarrow e^+ \nu_e \bar{\nu_\mu}$, the decay positrons are detected by electromagnetic calorimeters. In addition to the expected exponential decay in the positron time spectrum, the weak decay asymmetry causes a modulation in the number of positrons in a selected energy range at the difference frequency between the spin and cyclotron frequencies, $\omega_\text{a}$. This frequency is directly proportional to the magnetic anomaly $a_\mu =(g-2)/2$, where $g$ is the g-factor of the muon, which is slightly greater than 2. The detector acceptance depends on the radial position of the muon decay, so the CBO of the muon bunch following injection into the storage ring modulate the measured muon signal with the frequency $\omega_\text{CBO}$. In addition, the muon populations at the edge of the beam hit the walls of the vacuum chamber before decaying, which also affects the signal. Thus, reduction of CBO and unwanted muon loss increases the $a_\mu$ measurement sensitivity. Numerical and experimental studies with RF electric fields yield more than a magnitude reduction of the CBO, with muon losses comparable to the conventional method.