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

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.