Analytical on-shell QED results: 3-loop vacuum polarization, 4-loop beta-function and the muon anomaly
High Energy Physics - Phenomenology
2019-08-17 v1 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.hep-ph/9210255,
title = {Analytical on-shell QED results: 3-loop vacuum polarization, 4-loop beta-function and the muon anomaly},
author = {D. J. Broadhurst and A. L. Kataev and O. V. Tarasov},
journal= {arXiv preprint arXiv:hep-ph/9210255},
year = {2019}
}
Comments
LaTex, 11 pages, figures available from O.V.T. CERN--TH. 6602/92, OUT--4102--39, BI--TP--92/33