# The anomalous magnetic moment of the muon in the Standard Model

Aoyama, T.; Asmussen, N.; Benayoun, M.; Bijnens, J.; Blum, T.; Bruno, M.; Caprini, I.; Carloni Calame, C. M.; Cè, M.; Colangelo, G.; Curciarello, F.; Czyż, H.; Danilkin, I.; Davier, M.; Davies, C. T. H.; Della Morte, M.; Eidelman, S. I.; El-Khadra, A. X.; Gérardin, A.; Giusti, D.; ... mehr

##### Abstract:
We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant α and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including O(α$^{5}$) with negligible numerical uncertainty. The electroweak contribution is suppressed by (m$_{μ}$ /M$_{W}$)$^{2}$ and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at O(α$^{2}$) and is due to hadronic vacuum polarization, whereas at O(α$^{3}$) the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a firstprinciple, lattice-QCD approach. ... mehr

 Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP) Publikationstyp Zeitschriftenaufsatz Publikationsdatum 03.12.2020 Sprache Englisch Identifikator ISSN: 0370-1573, 1873-6270 KITopen-ID: 1000126515 Erschienen in Physics reports Band 887 Seiten 1-166 Nachgewiesen in Scopus
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