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

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

1992-10-21

arxiv.org/abs/hep-ph/9210255v1

Phys.Lett.B298:445-452,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 11 pages, figures available from O.V.T. CERN--TH. 6602/92, OUT--4102--39, BI--TP--92/33

Scientific paper

10.1016/0370-2693(93)91849-I

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 contributions to the on shell QED beta-function. These are used to evaluate various 4-loop and 5-loop contributions to the muon anomaly. Our analytical contributions to (g-2)_\mu differ significantly from previous numerical results. A very recent numerical re-evaluation of 4-loop muon-anomaly contributions has yielded results much closer to ours.

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