Preasymptotic behavior of high-order corrections to the anomalous magnetic moments of leptons due to vacuum polarization by lepton loops

\author{O.P. Solovtsova} \email{solovtsova@gstu.gomel.by; olsol@theor.jinr.ru} \affiliation{Gomel State Technical University, Gomel, 246746, Belarus} \affiliation{Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russia} \author{V.I. Lashkevich} \email{lashkevich@gstu.gomel.by} \affiliation{Gomel State Technical University, Gomel, 246746, Belarus} \author{L.P. Kaptari} \email{kaptari@theor.jinr.ru} \affiliation{Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russia}

Gomel State Technical University, Belarus

Using new analytical expressions obtained via the Mellin–Barnes integral transform and Borel summation for high-order corrections to the lepton anomalous magnetic moment from vacuum polarization diagrams with lepton loops, we study the behavior of high-order perturbation series in electrodynamics and seek manifestations of the asymptotic nature of expansions in electrodynamic charge.