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

Abstract

Contribution of order α2 (Z α)6 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.

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