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

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 mu...

Descripción completa

Detalles Bibliográficos
Autores principales: Broadhurst, David J., Kataev, A.L., Tarasov, O.V.
Lenguaje:eng
Publicado: 1993
Materias:
Particle Physics - Phenomenology
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(93)91849-I
http://cds.cern.ch/record/241517
_version_ 1780885003061690368
author Broadhurst, David J.
Kataev, A.L.
Tarasov, O.V.
author_facet Broadhurst, David J.
Kataev, A.L.
Tarasov, O.V.
author_sort Broadhurst, David J.
collection CERN
description 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.
id cern-241517
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
record_format invenio
spelling cern-2415172023-03-14T17:13:21Zdoi:10.1016/0370-2693(93)91849-Ihttp://cds.cern.ch/record/241517engBroadhurst, David J.Kataev, A.L.Tarasov, O.V.Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomalyParticle Physics - PhenomenologyParticle Physics - TheoryWe 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.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.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.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.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 β-function. These are used to evaluate various 4-loop and 5-loop contributions to the muon anomaly. Our analytical contributions to ( g − 2) μ 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.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.hep-ph/9210255CERN-TH-6602-92OUT-4102-39BI-TP-92-33BI-TP-92-33CERN-TH-6602-92OUT-4102-39oai:cds.cern.ch:2415171993
spellingShingle Particle Physics - Phenomenology
Particle Physics - Theory
Broadhurst, David J.
Kataev, A.L.
Tarasov, O.V.
Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
title Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
title_full Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
title_fullStr Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
title_full_unstemmed Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
title_short Analytical on shell QED results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
title_sort analytical on shell qed results: 3-loop vacuum polarization, 4-loop $\beta$-function and the muon anomaly
topic Particle Physics - Phenomenology
Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(93)91849-I
http://cds.cern.ch/record/241517
work_keys_str_mv AT broadhurstdavidj analyticalonshellqedresults3loopvacuumpolarization4loopbetafunctionandthemuonanomaly
AT kataeval analyticalonshellqedresults3loopvacuumpolarization4loopbetafunctionandthemuonanomaly
AT tarasovov analyticalonshellqedresults3loopvacuumpolarization4loopbetafunctionandthemuonanomaly

Ejemplares similares