THE ANALYTIC 4-LOOP CORRECTIONS TO THE QED BETA-FUNCTION IN THE MS SCHEME AND TO THE QED PSI-FUNCTION - TOTAL REEVALUATION

The results of the total reevaluation of the four-loop correction to the QED beta-function in the minimal and momentum subtraction schemes (beta-MS and psi-functions) and for the functions F1 (alpha) and F(alpha) determined by the photon vacuum polarization diagrams without fermion-loop contributions to the internal photon lines are presented. It is found that the zeta(3)-, zeta(4)- and zeta(5)-terms cancel in the ultimate result for the four-loop coefficient of the F1-function. The results obtained are briefly discussed.