On high order contributions to the anomalous magnetic moments of leptons due to the vacuum polarization by lepton loops

V. I. Lashkevich; O. P. Solovtsova; O. V. Teryaev

doi:10.29235/1561-2430-2022-58-4-412-423

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On high order contributions to the anomalous magnetic moments of leptons due to the vacuum polarization by lepton loops

V. I. Lashkevich, O. P. Solovtsova, O. V. Teryaev

https://doi.org/10.29235/1561-2430-2022-58-4-412-423

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Abstract
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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 a_n 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 a_n.

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

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

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

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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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

On high order contributions to the anomalous magnetic moments of leptons due to the vacuum polarization by lepton loops

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Abstract

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About the Authors

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