Analytical on-shell QED results: 3-loop vacuum polarization, 4-loop beta-function and the muon anomaly

D. J. Broadhurst, A. L. Kataev, O. V. Tarasov

We present the results of analytical calculations of the 3-loop contributions to the asymptotic photon vacuum polarization function, in the on shell scheme, and of the 4-loop contr…