The anomalous magnetic moment of the muon, a_μ, is a unique quantity that allows precision tests of the Standard Model. Currently, a difference of 3—4 standard deviations is observed between the prediction of the Standard Model and the most precise measurement performed. We present a review of the Standard Model calculations of a_μ. The principles and history of a_μ experiments are presented, and the recent measurement at the Brookhaven National Laboratory, USA, is described in detail. Prospects for further improving the accuracy of both calculations and measurements of a_μ are discussed.

Keywords: anomalous magnetic moment, standard model, electron—positron annihilation, vacuum polarization PACS: 07.05.Fb, 11.55.Fv, 12.20.Ds, 13.40.Em, 13.66.Bc, 14.60.Ef (all) DOI: 10.3367/UFNe.2018.02.038312 URL: https://ufn.ru/en/articles/2018/5/f/ 000441069900006 2-s2.0-85051673865 2018PhyU...61..480L Citation: Logashenko I B, Eidel’man S I "Muon anomalous magnetic moment" Phys. Usp. 61 480–510 (2018) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 15th, January 2018, revised: 9th, February 2018, accepted: 9th, February 2018 Оригинал: Логашенко И Б, Эйдельман С И «Аномальный магнитный момент мюона» УФН 188 540–573 (2018); DOI: 10.3367/UFNr.2018.02.038312