Coherent Betatron Oscillation and Induced Errors in the Experimental Determination of the Muon g-2 Factor

TL;DR

This paper addresses discrepancies in muon g-2 measurements by analyzing coherent betatron oscillations, resolving a disagreement between experiment and theory through improved electrostatic focusing calculations, thus reducing the need for new physics explanations.

Contribution

It provides a corrected computation of electrostatic focusing effects that clarifies the collective mode assignment of betatron oscillations in muon g-2 experiments.

Findings

Resolved the discrepancy in horizontal betatron frequency

Reduced the necessity for non-standard model corrections

Improved understanding of beam dynamics in muon g-2 measurements

Abstract

Precision measurements of the anomalous magnetic moment of the muon depend on the correct collective mode assignment of the coherent betatron oscillations in the beam. Presently, there is a disagreement between experiment and theory for the horizontal betatron frequency. The discrepancy is here resolved by our computations of electrostatic beam focusing. The correct treatment of the betatron effects renders less likely the need for non-standard model corrections to the muon g-2.