Abstract

There is a long standing discrepancy between the Standard Model prediction for the muon g-2 and the value measured by the Brookhaven E821 Experiment. At present the discrepancy stands at about three standard deviations, with an uncertainty dominated by the theoretical error. Two new proposals – at Fermilab and J-PARC – plan to improve the experimental uncertainty by a factor of 4, and it is expected that there will be a significant reduction in the uncertainty of the Standard Model prediction. I will review the status of the planned experiment at Fermilab, E989, which will analyse 21 times more muons than the BNL experiment and discuss how the systematic uncertainty will be reduced by a factor of 3 such that a precision of 0.14 ppm can be achieved.

Highlights

  • IntroductionThe error achieved by the BNL E821 experiment is δaEμXP = 6.3 × 10−10 (0.54 ppm) [10]

  • There is a long standing discrepancy between the Standard Model prediction for the muon g-2 and the value measured by the Brookhaven E821 Experiment

  • Two new proposals – at Fermilab and J-PARC – plan to improve the experimental uncertainty by a factor of 4, and it is expected that there will be a significant reduction in the uncertainty of the Standard Model prediction

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Summary

Introduction

The error achieved by the BNL E821 experiment is δaEμXP = 6.3 × 10−10 (0.54 ppm) [10]. This impressive result is still limited by the statistical errors, and a new experiment, E989 [11], to measure the muon anomaly to a precision of 1.6 × 10−10 (0.14 ppm) is under construction at Fermilab. If the central value remains unchanged, the statistical significance of the discrepancy with respect to the SM prediction would be over 5σ, see Ref. [2], and would be larger than this with the expected improvements in the theoretical calculation If the central value remains unchanged, the statistical significance of the discrepancy with respect to the SM prediction would be over 5σ, see Ref. [2], and would be larger than this with the expected improvements in the theoretical calculation

Measuring aμ
The Fermilab experiment
Findings
Conclusion
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