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Published on: November 16, 2013
Analytic chromaticity formulas for the Muon g-2 Experiment at Fermilab†.
Eremey Valetov1,2, Kyoko Makino1,2, Martin Berz1,2
1Department of Physics and Astronomy, Michigan State University, 567 Wilson Road, East Lansing, MI 48824, USA.
Microscopy (Oxford, England)
|March 18, 2026
Summary
The Muon g-2 Experiment achieved unprecedented precision in measuring the muon anomalous magnetic moment. New analytic formulas for beam dynamics were developed, improving accuracy for future analyses.
Area of Science:
- Particle Physics
- Experimental Physics
- Accelerator Physics
Background:
- The Muon g-2 Experiment (E989) at Fermilab aims to measure the muon anomalous magnetic moment (aμ) with high precision.
- Previous measurements and theoretical predictions for aμ have shown persistent discrepancies, motivating further experimental investigation.
- Achieving high precision requires meticulous control over systematic errors, particularly those related to beam dynamics within the storage ring.
Purpose of the Study:
- To derive accurate analytic formulas for beam dynamics in the Muon g-2 storage ring.
- To provide essential corrections for the muon precession frequency measurements.
- To resolve discrepancies in previous beam dynamics calculations and support data analysis for Runs 4-6.
Main Methods:
- Developed analytic aberration formulas up to second order for combined-function electrostatic quadrupoles using perturbation theory.
- Derived exact chromaticity formulas for three different ring models.
- Validated analytic results against numerical calculations using COSY INFINITY.
- Calculated nonlinear chromaticities up to ninth order.
Main Results:
- Achieved analytic-numerical agreement to O(10-10) for chromaticity calculations.
- Resolved discrepancies between approximate and exact derivations of beam dynamics formulas.
- Provided precise beam dynamics modeling crucial for the Muon g-2 experiment's accuracy.
- The experiment collected 21 times more data than the previous Brookhaven experiment.
Conclusions:
- The derived analytic formulas offer essential tools for understanding and correcting beam dynamics in the Muon g-2 storage ring.
- These advancements contribute to the high precision measurement of the muon anomalous magnetic moment.
- The final results from Run 6 are anticipated in June 2025, promising further insights into fundamental physics.
Keywords:
Muon g-2 Experimentaberrationschromaticitynonlinear chromaticitystorage ring opticstransfer mapsMore Related Videos
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