Higher-order hadronic contributions to the anomalous magnetic moment of leptons

Higher-order hadronic contributions to the anomalous magnetic moment of the electron, muon, and τ lepton are considered in detail. As a main result we find a reduction by −11×10−11 for the g-2 of the muon as compared to previous calculations. Analytical expressions for the kernel functions of higher-order hadronic effects are presented. We employ the method of asymptotic expansions to calculate kernel functions analytically in terms of a series expansion in the lepton mass.