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

M. I. Eides, S. G. Karshenboim, V. A. Shelyuto

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 l…