The hadronic contributions to the anomalous magnetic moment of the muon
| dc.creator | de Troconiz, J. F. | |
| dc.creator | Yndurain, F. J. | |
| dc.date | 2004-02-27 | |
| dc.date | 2005-03-23 | |
| dc.date.accessioned | 2026-07-07T10:49:01Z | |
| dc.date.available | 2026-07-07T10:49:01Z | |
| dc.description | We present a new, completely revised calculation of the muon anomalous magnetic moment, $a_μ=(g_μ-2)/2$, comparing it with the more recent experimental determination of this quantity; this furnishes an important test of theories of strong, weak and electromagnetic interactions. These theoretical and experimental determinations give the very precise numbers, $$10^{11}\times a_μ=\cases{116 591 806\pm50\pm10 ({\rm rad.})\pm30 (\ell\times\ell)\quad\hbox{[Th., no $τ$]}\cr 116 591 889\pm49\pm10 ({\rm rad.})\pm30 (\ell\times\ell)\quad\hbox{[Theory, $τ$]}\cr 116 592 080\pm60\quad\hbox{[Experiment]}.\cr}$$ In the theoretical evaluations, the first quantity does not, and the second one does, use information from $τ$ decay. The first errors for the theoretical evaluations include statistical plus systematic errors; the other ones are the estimated errors due to incomplete treatment of radiative corrections and the estimated error in the light-by-light scattering contribution. We thus have a significant mismatch between theory and experiment. We also use part of the theoretical calculations to give a precise evaluation of the electromagnetic coupling on the $Z$, $\barα_{\rm Q.E.D.}(M^2_{Z})$, of the masses and widths of the (charged and neutral) rho resonances, of the scattering length and effective range for the P wave in $ππ$ scattering, and of the quadratic radius and second coefficient of the pion form factor. | |
| dc.description | Version to be published by Phys. Rev. D; comparison with other calculations aincluded.Plain TeX; 7 figures; 22 pages | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0402285 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0402285 | |
| dc.identifier | Phys.Rev.D71:073008,2005 | |
| dc.identifier | doi:10.1103/PhysRevD.71.073008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184082 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The hadronic contributions to the anomalous magnetic moment of the muon | |
| dc.type | text |