Abstract
The results of the total reevaluation of the four-loop correction to the QED β-function in the minimal and momentum subtraction schemes (β MS and ψ-functions) and for the functions F 1( α) and F( α) determined by the photon vacuum polarization diagrams without fermion-loop contributions to the internal photon lines are presented. It is found that the ζ(3)-, ζ(4)- and ζ(5)-terms cancel in the ultimate result for the four-loop coefficient of the F 1-function. The results obtained are briefly discussed.
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