2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/181720Improved values for the two- and three-loop mass-dependent QED contributions to the anomalous magnetic moments of the electron, muon, and tau lepton are presented. The Standard Model prediction for the electron (g-2) is compared with its most precise recent measurement, providing a value of the fine-structure constant in agreement with a recently published determination. For the tau lepton, differences with previously published results are found and discussed. An updated value of the fine-structure constant is presented in "Note added after publication."6 pages, 1 figure. v2: New determination of alpha presented (based on the recent electron g-2 measurement). v3: New formulae added in Sec.IIB. v4: Updated value of alpha presentedHigh Energy Physics - PhenomenologyHigh Energy Physics - ExperimentPrecise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3text