Radiative QED corrections to the lepton anomaly from four-loop vacuum polarization insertions with three identical leptons
Autor: | Solovtsova, O. P., Lashkevich, V. I., Kaptari, L. P. |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Analytical expressions for the tenth order electromagnetic corrections to the lepton ($L=e, ~\mu $ and $\tau$) anomaly $a_L$ are derived explicitly for a class of Feynman diagrams with insertions of the vacuum polarization operator consisting of four closed lepton loops. We consider a particular case when one loop is formed by the lepton $L$ of the same kind as the one under consideration, the other three loops being formed by leptons $\ell\neq L$. The method is based on the consecutive application of dispersion relations for the polarization operator and the Mellin--Barnes transform for the propagators of massive particles. The result is expressed in terms of the mass ratio $r=m_\ell/m_L$. We investigate the behaviour of the exact analytical expressions as $r\to 0$ and $r\to \infty$ and compare them with the corresponding asymptotic expansions known in the literature. Comment: 18 pages, 4 eps figure. Talk presented at the Scientific session of Nuclear Physics section of Physics Division of RAS, April 1-5, Physics of Fundamental Interactions |
Databáze: | arXiv |
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