Some analytic results for the contribution to the anomalous magnetic moments of leptons due to the polarization of vacuum via lepton loops

Olga Solovtsova; Vasil Lashkevich; Alexander Sidorov

doi:10.1051/epjconf/201922203007

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 222, 03007 (2019)
https://doi.org/10.1051/epjconf/201922203007

Some analytic results for the contribution to the anomalous magnetic moments of leptons due to the polarization of vacuum via lepton loops

Olga Solovtsova¹^,2^*, Vasil Lashkevich² and Alexander Sidorov¹

¹ BLTP, Joint Institute for Nuclear Research, Dubna, 141980, Russia
² ICAS, Gomel State Technical University, Gomel, 246746, Belarus

^* e-mail: olsol@theor.jinr.ru

Published online: 19 November 2019

Abstract

We present some new exact expressions for the contribution of the mass-dependent three-bubble diagrams to the anomalous magnetic moment of leptons L = e, µ and τ. A comparison with the analytic expansions in terms of the mass ratio m_ℓ/m_L made in the literature, whenever relevant, is discussed.

© The Authors, published by EDP Sciences, 2019

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.