Leading logarithmic contribution to the second-order Lamb shift induced by the loop-after-loop diagram

Abstract

Contribution of order α^2 (Z α)^6 \ln^3(Z α)^{-2} to the ground-state Lamb shift in hydrogen induced by the loop-after-loop diagram is evaluated analytically. An additional contribution of this order is found compared to the previous calculation by Karshenboim [JETP 76, 541 (1993)]. As a result, an agreement is achieved for this correction between different numerical and analytical methods.

RevTex, 9 pages, 2 figures

References in corpus (3)

• Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms
• Logarithms of alpha in QED bound states from the renormalization group
• The second-order electron self-energy in hydrogen-like ions

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• Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogen-like ions
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• Two-Loop Bethe Logarithms for Higher Excited S Levels
• Double-Logarithmic Two-Loop Self-Energy Corrections to the Lamb Shift
• Two-loop QED corrections in few-electron ions
• A Problematic Set of Two-Loop Self-Energy Corrections
• Two-Loop QED Bound-State Calculations and Squared Decay Rates
• Two-loop self-energy correction to the ground-state Lamb shift in H-like ions