On high order contributions to the anomalous magnetic moments of leptons due to the vacuum polarization by lepton loops
https://doi.org/10.29235/1561-2430-2022-58-4-412-423
Abstract
We analyze herein the higher orders contributions of expansions in the fine structure constant α to the anomalous magnetic moment of leptons coming from the diagrams of vacuum polarization by lepton loops in the case when the ratio of the mass of lepton in the loop to the mass of external lepton is less than unity. The dependence of the expansion coefficients an on the ratio of lepton masses is found and a comparison is made with the previously known analytical estimates. It is shown that for real values of lepton masses the new analytical expressions turn out to be more accurate than the known ones. Estimates are given for the order of expansion n*, starting from which one or another accuracy is guaranteed for the coefficients an.
Keywords
anomalous magnetic moment of the leptons,
quantum electromagnetic corrections,
higher-order contributions
Supporting agencies: This work was supported by the International Program of Cooperation between the Republic of Belarus and JINR.
About the Authors
V. I. Lashkevich
Sukhoi State Technical University of Gomel
Belarus
Belarus
Vasil I. Lashkevich – Ph. D. (Physics and Mathematics), Associate Professor of the Higher Mathematics Department, Sukhoi State Technical University of Gomel.
48, Octiabrya Ave., 246746, Gomel
O. P. Solovtsova
Sukhoi State Technical University of Gomel; Joint Institute for Nuclear Research
Russian Federation
Russian Federation
Olga P. Solovtsova – Dr. Sc. (Physics and Mathematics), Chief Researcher of the Scientific Research Center, Sukhoi State Technical University of Gomel; Leading Researcher of the Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research.
48, Octiabrya Ave., 246746, Gomel; 6, Joliot-Curie Str., 141980, Dubna, Moscow Region
O. V. Teryaev
Joint Institute for Nuclear Research
Russian Federation
Russian Federation
Oleg V. Teryaev – Dr. Sc. (Physics and Mathematics), Professor, Head of the Department of Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research.
6, Joliot-Curie Str., 141980, Dubna, Moscow Region
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