Logarithmic two-loop corrections to the Lamb shift in hydrogen

Abstract

Higher order $(\alpha /\pi {)}^2(Z\alpha {)}^6$ logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical predictions for low lying S-states.

14 pages, including 2 figures, submitted to Phys. Rev. A, updated with minor changes

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