Three-loop QED Vacuum Polarization and the Four--loop Muon Anomalous Magnetic Moment
| dc.creator | Baikov, P. A. | |
| dc.creator | Broadhurst, D. J. | |
| dc.date | 1995-04-26 | |
| dc.date.accessioned | 2026-07-07T03:57:34Z | |
| dc.date.available | 2026-07-07T03:57:34Z | |
| dc.description | Three--loop contributions to massive QED vacuum polarization are evaluated by a combination of analytical and numerical techniques. The first three Taylor coefficients, at small $q^2$, are obtained analytically, using $d$\/--dimensional recurrence relations. Combining these with analytical input at threshold, and at large $q^2$, an accurate Padé approximation is obtained, for all $q^2$. Inserting this in the one--loop diagram for the muon anomalous magnetic moment, we find reasonable agreement with four--loop, single--electron--loop, muon--anomaly contributions, recently re--evaluated by Kinoshita, using 8--dimensional Monte--Carlo integration. We believe that our new method is at least two orders of magnitude more accurate than the Monte--Carlo approach, whose uncertainties appear to have been underestimated, by a factor of 6. | |
| dc.description | 6 pages, LaTeX, no additional figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9504398 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9504398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/45476 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Three-loop QED Vacuum Polarization and the Four--loop Muon Anomalous Magnetic Moment | |
| dc.type | text |