Corrections to Hyperfine Splitting and Lamb Shift Induced by the Overlapping Two-Loop Electron Self-Energy Insertion in the Electron Line

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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30 pages, Preprint PNPI-1942

Scientific paper

Contributions to HFS and to the Lamb shift intervals of order $\alpha^2(Z\alpha)^5$ induced by the graph with the two-loop overlapping electron self-energy diagram inserted in the electron line are considered. Explicit expression for the overlapping two-loop self-energy diagram in the Fried-Yennie gauge is obtained. Contributions both to HFS and Lamb shift induced by the diagram containing such subgraph are calculated.

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