A pedagogical review on muon $g-2$

Abstract

This note is a pedagogical mini review on the muon anomalous magnetic moment ($g-2$), translated and adapted from our article published in Modern Physics 4 (2021) 40-47. The contents include: (i) The magnetic moment of an electric-current coil; (ii) The magnetic moment of a charged lepton estimated as a classical charged ball with spin; (iii) The magnetic moment of a charged lepton from Dirac equation with electromagnetic interaction; (iv) The $g-2$ of a charged lepton from QED beyond tree level with effective couplings; (v) The measurement of muon $g-2$; (vi) The muon $g-2$ in low energy supersymmetric models. Finally, we give an outlook.