Abstract

The theoretical aspects of the various hadronic contributions to the anomalous magnetic moment of the muon are reviewed, as well as perspectives of their future evolution.

Highlights

  • The anomalous magnetic moment of the muon aμ has been measured [1] with an unprecedented relative accuracy of 0.54ppm by the E821 experiment at the Brookhaven AGS

  • The contribution known as hadronic vacuum polarization (HVP) occurs first at order O(α2), cf

  • There is a persistent discrepancy between the theory prediction of the anomalous magnetic moment of the muon within the standard model and its measured value, as shown in Eqs. (2) and (3)

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Summary

Introduction

The anomalous magnetic moment of the muon aμ has been measured [1] with an unprecedented relative accuracy of 0.54ppm by the E821 experiment at the Brookhaven AGS. Come from Feynman graphs with internal electron loops, which are enhanced because they produce powers of ln(mμ/me) These contributions have been evaluated recently [22, 23], using asymptotic expansion techniques in the small quantity me/mμ, providing an independent and welcome check (at a level of precision admittedly lower than the direct numerical evaluation [3, 21], but still higher than the one forthcoming experiments are aiming at). This contribution provides a substantial fraction of the uncertainty of the total two-loop electroweak correction to aμ, there is no need to increase its accuracy for the time being. Let us leave the realm of perturbation theory and turn towards the remaining corrections, where the strong interactions are predominant

Hadronic vacuum polarization
Hadronic light-by-light
Nc m2μ Fπ2 48π2
Findings
Conclusion
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