Abstract
The analytic result for the radiative correction of order ${\mathrm{\ensuremath{\alpha}}}^{2}$(Z\ensuremath{\alpha}${)}^{5}$m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge-invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines.
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